Pythagoras calculation

I have a .vi I am trying to write in Labview for a project that really has me stuck. Basically what I want to be able
to do is calculate distance using pythagoras, given a user selected number of dimensions (up to 20). That means rather
than traditionally just calculating pythagoras using x and y, I now have x, y, z, .... etc.
Currently I am at the stage where I can send an array of integers, where each represents which dimension to use
in calculation. eg 1 is x, 2 is y, 3 is z ... etc.
What I have done is a .vi for just x and y, which I have attatched but as for expanding this for z, alpha, beta,
gamma, delta etc I draw a blank. Any clues?
Solved!
Go to Solution.
Attachments:
Pythagoras.vi ‏9 KB

LabVIEW will do primitive operations on arrays.  For example, if you connect two one-dimensional arrays into the add primitive, it will return an array that contains and element by element addition of the inputs.  This makes your problem fairly easy.  Instead of indexing individual points, index the entire location vectors of the two points you want to know the distance between.  Subtract one from the other to get the differences.  Square the resultant vector.  Use the Array Sum to sum it, then take the square root.  This approach will scale with however many dimensions you want.
Good luck!
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     

    import java.awt.*;
    import java.awt.event.*;
    import java.awt.geom.*;
    import java.text.NumberFormat;
    import javax.swing.*;
    import javax.swing.event.*;
    import javax.swing.table.DefaultTableCellRenderer;
    public class G
    public G()
    TriangleModel tri = new
    ri = new TriangleModel(175,100,175,250,325,250);
    TriangleView view = new TriangleView(tri);
    JFrame f = new JFrame();
    f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
    f.getContentPane().add(view.getUIPanel(),
    Panel(), "North");
    f.getContentPane().add(view);
    f.getContentPane().add(view.getTablePanel(),
    Panel(), "South");
    f.setSize(500,500);
    f.setLocation(200,200);
    f.setVisible(true);
    public static void main(String[] args)
    new G();
    class TriangleModel // (x1,
    y1)
    {                                         //      |\
    static final int SIDES = 3; // | \
    private int cx, cy; // |
    | \
    Polygon triangle; // |_
    |_ _\ (x3, y3)
    int selectedIndex; // (x2,
    (x2, y2)
    NumberFormat nf;
    Line2D[] medians;
    Point2D centroid;
    public TriangleModel(int x1, int y1, int x2, int
    int y2, int x3, int y3)
    int[] x = new int[] { x1, x2, x3 };
    int[] y = new int[] { y1, y2, y3 };
    triangle = new Polygon(x, y, SIDES);
    nf = NumberFormat.getNumberInstance();
    nf.setMaximumFractionDigits(1);
    public boolean contains(Point p)
    // Polygon.contains doesn't work well enough
    return (new Area(triangle)).contains(p);
    public boolean isLineSelected(Rectangle r)
    Line2D line = new Line2D.Double();
    for(int j = 0; j < SIDES; j++)
    int[] x = triangle.xpoints;
    int[] y = triangle.ypoints;
    int x1 = x[j];
    int y1 = y[j];
    int x2 = x[(j + 1) % SIDES];
    int y2 = y[(j + 1) % SIDES];
    line.setLine(x1, y1, x2, y2);
    if(line.intersects(r))
    selectedIndex = j;
    return true;
    selectedIndex = -1;
    return false;
    * Only works for right triangle with right angle
    angle at (x2, y2)
    public void moveSide(int dx, int dy, Point p)
    int[] x = triangle.xpoints;
    int[] y = triangle.ypoints;
    switch(selectedIndex)
    case 0:
    x[0] += dx;
    x[1] += dx;
    break;
    case 1:
    y[1] += dy;
    y[2] += dy;
    break;
    case 2:
    double rise = y[2] - y[0];
    double run = x[2] - x[0];
    double slope = rise/run;
    // rise / run == (y[2] - p.y) / (x[2]
    ] - p.y) / (x[2] - p.x)
    x[2] = p.x + (int)((y[2] - p.y) /
    )((y[2] - p.y) / slope);
    // rise / run == (p.y - y[0]) / (p.x
    y - y[0]) / (p.x - x[0])
    y[0] = p.y - (int)((p.x - x[0]) *
    )((p.x - x[0]) * slope);
    public void translate(int dx, int dy)
    triangle.translate(dx, dy);
    public Polygon getTriangle()
    return triangle;
    public String findCentroid()
    int[] x = triangle.xpoints;
    int[] y = triangle.ypoints;
    // construct the medians defined as the line
    the line from
    // any vertex to the midpoint of the opposite
    opposite line
    medians = new Line2D[x.length];
    for(int j = 0; j < x.length; j++)
    int next = (j + 1) % x.length;
    int last = (j + 2) % x.length;
    Point2D vertex = new Point2D.Double(x[j],
    Double(x[j], y[j]);
    // get midpoint of line opposite vertex
    double dx = ((double)x[last] -
    le)x[last] - x[next])/2;
    double dy = ((double)y[last] -
    le)y[last] - y[next])/2;
    Point2D oppLineCenter = new
    Center = new Point2D.Double(x[next] + dx,
    y[next]
    y[next] + dy);
    medians[j] = new Line2D.Double(vertex,
    uble(vertex, oppLineCenter);
    // centroid is located on any median 2/3 the
    2/3 the way from the
    // vertex (P1) to the midpoint (P2) on the
    ) on the opposite side
    double[] lengths = getSideLengths();
    double dx = (medians[0].getX2() -
    etX2() - medians[0].getX1())*2/3;
    double dy = (medians[0].getY2() -
    etY2() - medians[0].getY1())*2/3;
    double px = medians[0].getX1() + dx;
    double py = medians[0].getY1() + dy;
    //System.out.println("px = " + nf.format(px)
    rmat(px) +
    // "\tpy = " +
    py = " + nf.format(py));
    centroid = new Point2D.Double(px, py);
    return "(" + nf.format(px) + ", " +
    ", " + nf.format(py) + ")";
    public String[] getAngles()
    double[] lengths = getSideLengths();
    String[] vertices = new
    es = new String[lengths.length];
    for(int j = 0; j < lengths.length; j++)
    int opp = (j + 1) % lengths.length;
    int last = (j + 2) % lengths.length;
    double top = lengths[j] * lengths[j] +
    lengths[last] *
    lengths[last] * lengths[last] -
    lengths[opp] *
    lengths[opp] * lengths[opp];
    double divisor = 2 * lengths[j] *
    lengths[j] * lengths[last];
    double vertex = Math.acos(top /
    h.acos(top / divisor);
    vertices[j] =
    ertices[j] = nf.format(Math.toDegrees(vertex));
    return vertices;
    public String[] getLengths()
    double[] lengths = getSideLengths();
    String[] lengthStrs = new
    rs = new String[lengths.length];
    for(int j = 0; j < lengthStrs.length; j++)
    lengthStrs[j] = nf.format(lengths[j]);
    return lengthStrs;
    public String[] getSquares()
    double[] lengths = getSideLengths();
    String[] squareStrs = new
    rs = new String[lengths.length];
    for(int j = 0; j < squareStrs.length; j++)
    squareStrs[j] = nf.format(lengths[j] *
    lengths[j] * lengths[j]);
    return squareStrs;
    private double[] getSideLengths()
    int[] x = triangle.xpoints;
    int[] y = triangle.ypoints;
    double[] lengths = new double[SIDES];
    for(int j = 0; j < SIDES; j++)
    int next = (j + 1) % SIDES;
    lengths[j] = Point.distance(x[j], y[j],
    (x[j], y[j], x[next], y[next]);
    return lengths;
    class TriangleView extends JPanel
    private TriangleModel model;
    private Polygon triangle;
    private JTable table;
    private JLabel centroidLabel;
    private boolean showConstruction;
    TriangleControl control;
    public TriangleView(TriangleModel model)
    this.model = model;
    triangle = model.getTriangle();
    showConstruction = false;
    control = new TriangleControl(this);
    addMouseListener(control);
    addMouseMotionListener(control);
    public void paintComponent(Graphics g)
    super.paintComponent(g);
    Graphics2D g2 = (Graphics2D)g;
    g2.setRenderingHint(RenderingHints.KEY_ANTIALIASING,
    RenderingHints.VALUE_ANTIALIAS_ON);
    g2.draw(triangle);
    if(model.medians == null)
    centroidLabel.setText("centroid location:
    id location: " + model.findCentroid());
    // draw medians and centroid point
    if(showConstruction && !control.dragging)
    g2.setPaint(Color.red);
    for(int j = 0; j < 3; j++)
    g2.draw(model.medians[j]);
    g2.setPaint(Color.blue);
    g2.fill(new
    g2.fill(new Ellipse2D.Double(model.centroid.getX() -
    2,
    model.centroid.getY()
    model.centroid.getY() - 2, 4, 4));
    public TriangleModel getModel()
    return model;
    public JTable getTable()
    return table;
    public JLabel getCentroidLabel()
    return centroidLabel;
    public JPanel getUIPanel()
    JCheckBox showCon = new JCheckBox("show
    ox("show construction");
    showCon.addActionListener(new
    ener(new ActionListener()
    public void actionPerformed(ActionEvent
    (ActionEvent e)
    boolean state =
    boolean state =
    ((JCheckBox)e.getSource()).isSelected();
    showConstruction = state;
    repaint();
    JPanel panel = new JPanel();
    panel.add(showCon);
    return panel;
    public JPanel getTablePanel()
    String[] headers = new String[] { "", "", "",
    // row and column data labels
    String[] rowHeaders = {
    "sides", "lengths", "squares", "angles",
    ", "angles", "degrees"
    String[] sidesRow = { "vertical",
    rtical", "horizontal", "hypotenuse" };
    String[] anglesRow = { "hyp to ver", "ver to
    "ver to hor", "hor to hyp" };
    // collect data from model
    String[] angles = model.getAngles();
    String[] lengths = model.getLengths();
    String[] squares = model.getSquares();
    String[][] allData = { sidesRow, lengths,
    lengths, squares, anglesRow, angles };
    int rows = 5;
    int cols = 4;
    Object[][] data = new Object[rows][cols];
    for(int row = 0; row < rows; row++)
    data[row][0] = rowHeaders[row];
    for(int col = 1; col < cols; col++)
    data[row][col] = allData[row][col -
    lData[row][col - 1];
    table = new JTable(data, headers)
    public boolean isCellEditable(int row,
    ble(int row, int col)
    return false;
    DefaultTableCellRenderer renderer =
    (DefaultTableCellRenderer)table.getDefaultRenderer(St
    ring.class);
    renderer.setHorizontalAlignment(JLabel.CENTER);
    centroidLabel = new JLabel("centroid
    centroid location: ", JLabel.CENTER);
    Dimension d =
    sion d = centroidLabel.getPreferredSize();
    d.height = table.getRowHeight();
    centroidLabel.setPreferredSize(d);
    JPanel panel = new JPanel(new
    anel(new BorderLayout());
    panel.setBorder(BorderFactory.createTitledBorder("tri
    angle data"));
    panel.add(table);
    panel.add(centroidLabel, "South");
    return panel;
    class TriangleControl extends MouseInputAdapter
    TriangleView view;
    TriangleModel model;
    Point start;
    boolean dragging, altering;
    Rectangle lineLens; // used for line
    line selection
    public TriangleControl(TriangleView tv)
    view = tv;
    model = view.getModel();
    dragging = altering = false;
    lineLens = new Rectangle(0, 0, 6, 6);
    public void mousePressed(MouseEvent e)
    Point p = e.getPoint();
    lineLens.setLocation(p.x - 3, p.y - 3);
    // are we over a line
    if(model.isLineSelected(lineLens))
    start = p;
    altering = true;
    // or are we within the triangle
    else if(model.contains(p))
    start = p;
    dragging = true;
    public void mouseReleased(MouseEvent e)
    altering = false;
    dragging = false;
    view.getCentroidLabel().setText("centroid
    centroid location: " +
    model.findCentroid());
    view.repaint(); // for the construction
    truction lines
    public void mouseDragged(MouseEvent e)
    Point p = e.getPoint();
    if(altering)
    int x = p.x - start.x;
    int y = p.y - start.y;
    model.moveSide(x, y, p);
    updateTable();
    view.repaint();
    start = p;
    else if(dragging)
    int x = p.x - start.x;
    int y = p.y - start.y;
    model.translate(x, y);
    view.repaint();
    start = p;
    private void updateTable()
    String[] lengths = model.getLengths();
    String[] squares = model.getSquares();
    String[] angles = model.getAngles();
    JTable table = view.getTable();
    for(int j = 0; j < angles.length; j++)
    table.setValueAt(lengths[j], 1, j + 1);
    table.setValueAt(squares[j], 2, j + 1);
    table.setValueAt(angles[j], 4, j + 1);
    view.getCentroidLabel().setText("centroid
    centroid location: " +
    model.findCentroid());
    Hey sorry mate.. ive got a nother problem.
    I need to add loads of theorems to this tool. so i need a JMenu Bar called File with all the normal things. then another Menu called Theorems where i can have a list of JMenuItems with the theorem names --- Like when they click on Pythagoras Theorem it opens up all the triangle and the traingle data that u helped me with.
    The thing is im using netbeans and in netbeans i can do it coz its there and all you got to do is put the components together.
    Please Help
    Thanks...
    Sharan

  • Need help to develop Pythagoras theorem-

    Hi i need help to develop proofs 2,3,4
    of pythagoras theorems in java as demonstrations
    These are applets can anyone help me with it or give me an idea of how to go about developing it -
    the site is the following
    http://www.uni-koeln.de/ew-fak/Mathe/Projekte/VisuPro/pythagoras/pythagoras.html
    then double click on the screen to make it start

    Pardon my ASCII art, but I've always liked the following, simple, geometric proof:
         a                   b
    ---------------------------------------+
    |       |                                |
    a|   I   |              II                |
    |       |                                |
    ---------------------------------------+
    |       |                                |
    |       |                                |
    |       |                                |
    |       |                                |
    |       |                                |
    b|  IV   |              III               |
    |       |                                |
    |       |                                |
    |       |                                |
    |       |                                |
    |       |                                |
    |       |                                |
    ---------------------------------------+It almost goes without saying that I+II+III+IV == (a+b)^2, and II == IV == a*b,
    I == a*a and III == b*b, showing that (a+b)^2 == a^2+a*b+a*b+b^2.
    I hope the following sketch makes sense, stand back, ASCII art alert again:     a                   b
    ---------------------------------------+
    |               .             VI         |
    |     .                 .                |a
    | V                               .      |
    |                                        +
    |                                        |
    |   .                                    |
    b|                                     .  |
    |                                        |
    |                  IX                    |
    | .                                      |
    |                                    .   |b
    |                                        |
    +                                        |
    |      .                                 |
    a|               .                  . VII |
    |  VIII                   .              |
    ---------------------------------------+
                     a                    bThe total area equals (a+b)^2 again and equals the sum of the smaller areas:
    (a+b)^2 == V+VI+VII+VIII+IX. Let area IX be c^2 for whatever c may be.
    V+VII == VI+VIII == a*b, so a^2+b^2+2*ab= c^2+2*a*b; IOW a^2+b^2 == c^2
    Given this fundamental result, the others can easily be derived from this one,
    or did I answer a question you didn't ask?
    kind regards,
    Jos

  • PYTHAGORAS THEOREM __ URGENT HELP  NEEDED

    Hi everyone - I am developing various proofs of the pythagora's theorem
    and the following code draws a triangle on screen and the proof follows -
    but i need to know how to drag the triangle such tht 1 angle is always set to 90 degrees.
    i.e. i need to resize the triangle by dragging its vertex points by which the1 angle remains at 90 no matter what the size.
    The proof has got some graphics code hardcoded in it - i.e. LINES AND POLYGONS have been hardcoded
    i need to reconfigure that such that everytime the user increases the size of the triagnle and clicks on next it draws the lines and polygons in the correct area and place
    PLEASE HELP
    the code is as follows
    MAIN CLASS
    import java.awt.BorderLayout;
    import java.awt.Container;
    import java.awt.*;
    import java.awt.event.*;
    import java.text.*;
    import javax.swing.*;
    public class TestProof {
        TestControl control;          // the controls for the visual proof
        TestView view;          // the drawing area to display proof
        // called upon class creation
        public TestProof() {
            view = new TestView();
    view.setBackground(Color.WHITE);
            control = new TestControl(view);
            Frame f = new Frame("Pythagoras");
            f.add(view,"Center");
            f.add(control,"South");
            f.setSize(600,600);
            f.setBackground(Color.lightGray);
            f.addMouseMotionListener(
            new MouseMotionListener() { //anonymous inner class
                //handle mouse drag event
                public void mouseMoved(MouseEvent e) {
                    System.out.println("Mouse  " + e.getX() +","  + e.getY());
                public void mouseDragged(MouseEvent e) {
                    System.out.println("Draggg: x=" + e.getX() + "; y=" + e.getY());
            JMenu File = new JMenu("File");
            JMenuItem Exit = new JMenuItem("Exit");
            Exit.addActionListener(new java.awt.event.ActionListener() {
                public void actionPerformed(java.awt.event.ActionEvent evt) {
                    ExitActionPerformed(evt);
            JMenuBar menuBar = new JMenuBar();
            menuBar.add(File);
       File.add(Exit);
            f.add(menuBar,"North");
            f.show();
        private JMenuBar getMenuBar() {
            JMenu File = new JMenu("File");
            JMenuItem Exit = new JMenuItem("Exit");
            Exit.addActionListener(new java.awt.event.ActionListener() {
                public void actionPerformed(java.awt.event.ActionEvent evt) {
                    ExitActionPerformed(evt);
            JMenuBar menuBar = new JMenuBar();
            menuBar.add(File);
                 File.add(Exit);   
            return menuBar;
        private void ExitActionPerformed(java.awt.event.ActionEvent evt) {
            // TODO add your handling code here:
            System.exit(0);
        // for standalone use
        public static void main(String args[]) {
      TestProof TP = new TestProof();
    }Test VIEW
    import javax.swing.*;
    import java.awt.*;
    import java.awt.event.*;
    import java.awt.geom.*;
    import java.text.*;
    import javax.swing.JFrame;
    import javax.swing.JPanel;
    public class TestView extends Canvas {
        int TRANSLUCENT = 1;
        int sequence;          // sequencer that determines what should be drawn
        // notes matter
        int noteX = 100;     // note coordinates
        int noteY = 60;
        int fontSize = 11;     // font size
        int lineSpacing     // space between two consecutive lines
        = fontSize + 2;
        Font noteFaceFont;     // font used to display notes
        // objects matter
        Polygon tri;          // right-angled triangle with sides A, B, and C
        Polygon tri1;
        Polygon sqrA;          // square with side of length A
        Polygon sqrB;          // square with side of length B
        Polygon sqrC;          // square with side of length C
        Polygon parA;          // parallelogram of base A and height A
        Polygon parB;          // parallelogram of base B and height B
        Polygon poly1;
        Polygon poly2;
        Polygon poly3;
        Polygon poly4;
        Polygon poly5;
        Polygon poly6;
        int X0 = 350;          // coordinates of triangle
        int Y0 = 350;
        int A = 90;//60;          // triangle size
        int B = 120;//80;
        int C = 150;//100;
        //CORDS of 2nd triangle
        int X1 = 350;
        int Y1 = 500;
        // notes: three lines per note
        String notes[] = {
            // note 0
            // note 1
            // note 2
            // note 3
            // note 4
            // note 5
            // note 6
            // note 7
            // note 8
            // note 9
            // note 10
            // note 11
            // note 12
            // note 13
            // note 14
        // constructor
        public TestView() {
            addMouseMotionListener(
            new MouseMotionListener() { //anonymous inner class
                //handle mouse drag event
                public void mouseMoved(MouseEvent e) {
                    System.out.println("Mouse  " + e.getX() +","  + e.getY());
                public void mouseDragged(MouseEvent e) {
                    System.out.println("Draggg: x=" + e.getX() + "; y=" + e.getY());
            // set font
            noteFaceFont = new Font("TimesRoman", Font.PLAIN, fontSize);
            // (coordinates specified w.r.t. to P0, unless otherwise specified)
            // create the triangle
            tri = new Polygon();
            tri.addPoint(0, 0);                    // add P0 coordinate
            tri.addPoint(A*A/C, -A*B/C);          // add A3 coordinate
            tri.addPoint(C, 0);                    // add C1 coordinate
            tri.translate(X0, Y0);               // place triangle
            tri1 = new Polygon();
            tri1.addPoint(0,0);                    // add P0 coordinate
            tri1.addPoint(A*A/C +38, +A*B/C);          // add A3 coordinate
            tri1.addPoint(C, 0);                    // add C1 coordinate
            tri1.translate(X1, Y1);
            // create square of side A
            sqrA = new Polygon();
            sqrA.addPoint(0, 0);               // add P0 coordinate
            sqrA.addPoint(-A*B/C, -A*A/C);          // add A1 coordinate
            sqrA.addPoint(-A*(B-A)/C, -A*(A+B)/C);     // add A2 coordinate
            sqrA.addPoint(A*A/C, -A*B/C);          // add A3 coordinate
            sqrA.translate(X0, Y0);               // place square
            // create square of side B
            // warning: the coordinate of this object are specified relative to C1
            sqrB = new Polygon();
            sqrB.addPoint(0, 0);               // add C1 coordinate
            sqrB.addPoint(B*A/C, -B*B/C);          // add B1 coordinate
            sqrB.addPoint(B*(A-B)/C, -B*(A+B)/C);     // add B2 coordinate
            sqrB.addPoint(-B*B/C, -B*A/C);          // add A3 coordinate
            sqrB.translate(X0 + C, Y0);               // place square
            // create square of side C
            sqrC = new Polygon();
            sqrC.addPoint(0, 0);               // add P0 coordinate
            sqrC.addPoint(C, 0);               // add C1 coordinate
            sqrC.addPoint(C, C);               // add C2 coordinate
            sqrC.addPoint(0, C);               // add C3 coordinate
            sqrC.translate(X0, Y0);               // place square
            poly1 = new Polygon();
            poly1.addPoint(405,279);
            poly1.addPoint(413,350);
            poly1.addPoint(432,500);
            poly1.addPoint(442,571);
            poly1.addPoint(500,500);
            poly1.addPoint(500,350);
            poly2 = new Polygon();
            poly2.addPoint(279,297);
            poly2.addPoint(404,280);
            poly2.addPoint(571,254);
            poly2.addPoint(500,350);
            poly2.addPoint(350,350);
            //Polygon 3
            poly3 = new Polygon();
            poly3.addPoint(404,280);
            poly3.addPoint(350,350);
            poly3.addPoint(414,350);
            poly4 = new Polygon();
            poly4.addPoint(350,350);
            poly4.addPoint(350,500);
            poly4.addPoint(442,572);
            poly4.addPoint(433,500);
            poly4.addPoint(414,350);
            poly5 = new Polygon();
            poly5.addPoint(476,183);
            poly5.addPoint(332,225);
            poly5.addPoint(278,295);
            poly5.addPoint(404,279);
            poly5.addPoint(571,254);
            poly6= new Polygon();
            poly6.addPoint(405,278);
            poly6.addPoint(332,224);
            poly6.addPoint(476,182);
            // create parallelogram of height A
            parA = new Polygon();
            parA.addPoint(0, 0);               // add P0 coordinate
            parA.addPoint(0, C);               // add C3 coordinate
            parA.addPoint(A*A/C, C - A*B/C);          // add Q0 coordinate
            parA.addPoint(A*A/C, -A*B/C);          // add A3 coordinate
            parA.translate(X0,Y0);               // place parallelogram
            // create parallelogram of height B
            // warning: the coordinate of this object are specified from C1
            parB = new Polygon();
            parB.addPoint(0, 0);               // add C1 coordinate
            parB.addPoint(-B*B/C, -B*A/C);          // add A3 coordinate
            parB.addPoint(A*A/C - C, C - A*B/C);     // add Q0 coordinate
            parB.addPoint(0, C);               // add C2 coordinate
            parB.translate(X0 + C, Y0);
            // place parallelogram
        // depending on the sequence number we draw certain objects
        public void paint(Graphics gfx) {
            super.paint(gfx);
            Graphics2D g = (Graphics2D) gfx;
            g.setRenderingHint(RenderingHints.KEY_ANTIALIASING,
            RenderingHints.VALUE_ANTIALIAS_ON);
            // text first, then objects (and animation)
            // we always output some notes
            g.drawString(notes[3*sequence], noteX, noteY);
            g.drawString(notes[3*sequence + 1], noteX, noteY + lineSpacing);
            g.drawString(notes[3*sequence + 2], noteX, noteY + 2*lineSpacing);
            // the object are drawn in an order so that they are properly overlapped
            if(sequence == 13) {
                g.setColor(Color.green);
                g.fillPolygon(poly1);
                g.fillPolygon(poly2);
                g.fillPolygon(poly3);
                g.fillPolygon(poly4);
                g.fillPolygon(poly5);
                g.setColor(Color.RED);
                g.setColor(Color.GREEN);
                g.drawLine(413,351,433,499);
                g.setColor(Color.white);
                g.fillPolygon(tri);
                g.fillPolygon(tri1);
                g.fillPolygon(poly6);
            if(sequence == 12 ) {
                g.setColor(Color.green);
                g.fillPolygon(poly1);
                g.fillPolygon(poly2);
                g.fillPolygon(poly3);
                g.fillPolygon(poly4);
                g.fillPolygon(poly5);
                g.setColor(Color.BLACK);
            if(sequence == 11){
                g.setColor(Color.green);
                g.fillPolygon(poly1);
                g.fillPolygon(poly3);
                g.fillPolygon(poly4);
                g.setColor(Color.BLACK);
            if(sequence == 8 ){
                g.setColor(Color.green);
                g.fillPolygon(poly5);
                g.setColor(Color.MAGENTA);
                g.drawString("E",578,254);
                g.drawString("D",268,302);
                g.setColor(Color.black);
                g.drawArc(250,150,350,250,320,65);
            else if (sequence == 9 ){
                g.setColor(Color.green);
                g.fillPolygon(poly2);
                g.setColor(Color.MAGENTA);
                g.drawString("E",578,254);
                g.drawString("D",268,302);
                g.setColor(Color.black);
                g.drawArc(250,150,350,250,320,65);
            if( sequence == 10){
                g.setColor(Color.green);
                g.fillPolygon(poly2);
                g.fillPolygon(poly5);
                g.setColor(Color.black);
                g.setColor(Color.MAGENTA);
                g.drawString("E",578,254);
                g.drawString("D",268,302);
                g.setColor(Color.black);
                g.drawArc(250,150,350,250,320,65);
            if(sequence == 7){
                g.setColor(Color.green);
                g.fillPolygon(poly2);
                g.setColor(Color.MAGENTA);
                g.drawString("E",578,254);
                g.drawString("D",268,302);
                g.setColor(Color.black);
            if(sequence == 6){
                g.setColor(Color.yellow);
                g.fillPolygon(poly2);
                g.setColor(Color.green);
                g.fillPolygon(poly3);
                g.setColor(Color.blue);
                g.fillPolygon(poly4);
                g.setColor(Color.black);
                g.drawArc(250,175,350,275,300,65);
                //g.drawArc(250,150,350,250,320,65);
                g.drawLine( 606,309,599,299);
                g.drawLine(592,313, 599,299);
                g.drawString("+90 degrees",605,378);
            if (sequence == 5 ) {
                g.setColor(Color.yellow);
                g.fillPolygon(poly2);
                g.setColor(Color.black);
            if (sequence == 4) {
                g.setColor(Color.YELLOW);
                g.fillPolygon(poly1);
                g.setColor(Color.black);
                g.drawArc(319,310,250,195,89,-35);
                g.drawLine(499,319, 492,312);
                g.drawLine(499,319, 492,325);
                g.drawArc(200,180, 233,238,-120,-60);
                g.drawLine(200,298, 208,309);
                g.drawLine(200,298, 194,313);
                g.drawString("-90 degrees",227,347);
            if (sequence >= 3) {
                g.drawLine(404,279,442,572);
            // draw the squares
            if (sequence >= 2) {
                g.drawLine(278,296,572,254);
            // draw the squares
            if (sequence >= 1) {
                g.drawLine(333,224,476,182);
                g.drawPolygon(tri1);
            // always draw the triangle
            g.drawPolygon(tri);
            g.drawPolygon(sqrA);
            g.drawPolygon(sqrB);
            g.drawPolygon(sqrC);
            g.setColor(Color.MAGENTA);
            g.drawString("C", X0 + C/2 - fontSize/2, Y0 + lineSpacing);
            g.drawString("A",
            X0 + A*A/(2*C) - fontSize*A/B/2,
            Y0 - A*B/(2*C) - lineSpacing*A/B);
            g.drawString("B",
            X0 + C - B*B/(2*C) - fontSize*A/B/2,// the last "-" isn't log.
            Y0 - B*A/(2*C) - lineSpacing*A/B);
        public void redraw(int sequence) {
            this.sequence = sequence;
            repaint();
    }TEST CONTROL
    * TestControl.java
    * Created on 28 February 2005, 11:16
    import java.awt.*;
    import java.awt.event.*;
    import java.text.*;
    import javax.swing.JFrame;
    * @author  Kripa Bhojwani
    public class TestControl extends Panel implements ActionListener {
      TestView view;
      int sequence;                    // event sequence
      // constructor
      public TestControl(TestView view) {
        Button b = null;
        Label label = new Label("A^2 ");
        this.view = view;          // initialize drawble area
        sequence = 0;               // initialize sequence
        b = new Button("Prev");
        b.addActionListener(this);
        add(b);
        b = new Button("Next");
        b.addActionListener(this);
        add(b);
        add(label);
      // exported method
      public void actionPerformed(ActionEvent ev) {
        String label = ev.getActionCommand();
        if (label.equals("Prev")) {
          if (sequence >0) {
         --sequence;
        else {
          if (sequence < 15) {
         ++sequence;
        this.setEnabled(false);          // disable the controls
        view.redraw(sequence);
        this.setEnabled(true);          // enable the controls
    }Please help --- really need to sort this out...
    THANKS

    Can any one help me with this --
    basically need to draw a triangle with BC as the Base and the HYPOTENUSE of a right angle triangle right angled at A...
    [    code]
    A
    B/-----------------------------/C
    So angle A should be 90 degrees
    and the user should be able to Drag sides B and C anywhere on screen
    PLEASE HELP

  • PYTHAGORAS THEOREM ) HELP NEEDED

    Hi everyone - I am developing various proofs of the pythagora's theorem
    and the following code draws a triangle on screen and the proof follows -
    but i need to know how to drag the triangle such tht 1 angle is always set to 90 degrees.
    i.e. i need to resize the triangle by dragging its vertex points by which the1 angle remains at 90 no matter what the size.
    The proof has got some graphics code hardcoded in it - i.e. LINES AND POLYGONS have been hardcoded
    i need to reconfigure that such that everytime the user increases the size of the triagnle and clicks on next it draws the lines and polygons in the correct area and place
    PLEASE HELP
    the code is as follows
    MAIN CLASS
    import java.awt.BorderLayout;
    import java.awt.Container;
    import java.awt.*;
    import java.awt.event.*;
    import java.text.*;
    import javax.swing.*;
    public class TestProof {
        TestControl control;          // the controls for the visual proof
        TestView view;          // the drawing area to display proof
        // called upon class creation
        public TestProof() {
            view = new TestView();
    view.setBackground(Color.WHITE);
            control = new TestControl(view);
            Frame f = new Frame("Pythagoras");
            f.add(view,"Center");
            f.add(control,"South");
            f.setSize(600,600);
            f.setBackground(Color.lightGray);
            f.addMouseMotionListener(
            new MouseMotionListener() { //anonymous inner class
                //handle mouse drag event
                public void mouseMoved(MouseEvent e) {
                    System.out.println("Mouse  " + e.getX() +","  + e.getY());
                public void mouseDragged(MouseEvent e) {
                    System.out.println("Draggg: x=" + e.getX() + "; y=" + e.getY());
            JMenu File = new JMenu("File");
            JMenuItem Exit = new JMenuItem("Exit");
            Exit.addActionListener(new java.awt.event.ActionListener() {
                public void actionPerformed(java.awt.event.ActionEvent evt) {
                    ExitActionPerformed(evt);
            JMenuBar menuBar = new JMenuBar();
            menuBar.add(File);
       File.add(Exit);
            f.add(menuBar,"North");
            f.show();
        private JMenuBar getMenuBar() {
            JMenu File = new JMenu("File");
            JMenuItem Exit = new JMenuItem("Exit");
            Exit.addActionListener(new java.awt.event.ActionListener() {
                public void actionPerformed(java.awt.event.ActionEvent evt) {
                    ExitActionPerformed(evt);
            JMenuBar menuBar = new JMenuBar();
            menuBar.add(File);
                 File.add(Exit);   
            return menuBar;
        private void ExitActionPerformed(java.awt.event.ActionEvent evt) {
            // TODO add your handling code here:
            System.exit(0);
        // for standalone use
        public static void main(String args[]) {
      TestProof TP = new TestProof();
    }Test VIEW
    import javax.swing.*;
    import java.awt.*;
    import java.awt.event.*;
    import java.awt.geom.*;
    import java.text.*;
    import javax.swing.JFrame;
    import javax.swing.JPanel;
    public class TestView extends Canvas {
        int TRANSLUCENT = 1;
        int sequence;          // sequencer that determines what should be drawn
        // notes matter
        int noteX = 100;     // note coordinates
        int noteY = 60;
        int fontSize = 11;     // font size
        int lineSpacing     // space between two consecutive lines
        = fontSize + 2;
        Font noteFaceFont;     // font used to display notes
        // objects matter
        Polygon tri;          // right-angled triangle with sides A, B, and C
        Polygon tri1;
        Polygon sqrA;          // square with side of length A
        Polygon sqrB;          // square with side of length B
        Polygon sqrC;          // square with side of length C
        Polygon parA;          // parallelogram of base A and height A
        Polygon parB;          // parallelogram of base B and height B
        Polygon poly1;
        Polygon poly2;
        Polygon poly3;
        Polygon poly4;
        Polygon poly5;
        Polygon poly6;
        int X0 = 350;          // coordinates of triangle
        int Y0 = 350;
        int A = 90;//60;          // triangle size
        int B = 120;//80;
        int C = 150;//100;
        //CORDS of 2nd triangle
        int X1 = 350;
        int Y1 = 500;
        // notes: three lines per note
        String notes[] = {
            // note 0
            // note 1
            // note 2
            // note 3
            // note 4
            // note 5
            // note 6
            // note 7
            // note 8
            // note 9
            // note 10
            // note 11
            // note 12
            // note 13
            // note 14
        // constructor
        public TestView() {
            addMouseMotionListener(
            new MouseMotionListener() { //anonymous inner class
                //handle mouse drag event
                public void mouseMoved(MouseEvent e) {
                    System.out.println("Mouse  " + e.getX() +","  + e.getY());
                public void mouseDragged(MouseEvent e) {
                    System.out.println("Draggg: x=" + e.getX() + "; y=" + e.getY());
            // set font
            noteFaceFont = new Font("TimesRoman", Font.PLAIN, fontSize);
            // (coordinates specified w.r.t. to P0, unless otherwise specified)
            // create the triangle
            tri = new Polygon();
            tri.addPoint(0, 0);                    // add P0 coordinate
            tri.addPoint(A*A/C, -A*B/C);          // add A3 coordinate
            tri.addPoint(C, 0);                    // add C1 coordinate
            tri.translate(X0, Y0);               // place triangle
            tri1 = new Polygon();
            tri1.addPoint(0,0);                    // add P0 coordinate
            tri1.addPoint(A*A/C +38, +A*B/C);          // add A3 coordinate
            tri1.addPoint(C, 0);                    // add C1 coordinate
            tri1.translate(X1, Y1);
            // create square of side A
            sqrA = new Polygon();
            sqrA.addPoint(0, 0);               // add P0 coordinate
            sqrA.addPoint(-A*B/C, -A*A/C);          // add A1 coordinate
            sqrA.addPoint(-A*(B-A)/C, -A*(A+B)/C);     // add A2 coordinate
            sqrA.addPoint(A*A/C, -A*B/C);          // add A3 coordinate
            sqrA.translate(X0, Y0);               // place square
            // create square of side B
            // warning: the coordinate of this object are specified relative to C1
            sqrB = new Polygon();
            sqrB.addPoint(0, 0);               // add C1 coordinate
            sqrB.addPoint(B*A/C, -B*B/C);          // add B1 coordinate
            sqrB.addPoint(B*(A-B)/C, -B*(A+B)/C);     // add B2 coordinate
            sqrB.addPoint(-B*B/C, -B*A/C);          // add A3 coordinate
            sqrB.translate(X0 + C, Y0);               // place square
            // create square of side C
            sqrC = new Polygon();
            sqrC.addPoint(0, 0);               // add P0 coordinate
            sqrC.addPoint(C, 0);               // add C1 coordinate
            sqrC.addPoint(C, C);               // add C2 coordinate
            sqrC.addPoint(0, C);               // add C3 coordinate
            sqrC.translate(X0, Y0);               // place square
            poly1 = new Polygon();
            poly1.addPoint(405,279);
            poly1.addPoint(413,350);
            poly1.addPoint(432,500);
            poly1.addPoint(442,571);
            poly1.addPoint(500,500);
            poly1.addPoint(500,350);
            poly2 = new Polygon();
            poly2.addPoint(279,297);
            poly2.addPoint(404,280);
            poly2.addPoint(571,254);
            poly2.addPoint(500,350);
            poly2.addPoint(350,350);
            //Polygon 3
            poly3 = new Polygon();
            poly3.addPoint(404,280);
            poly3.addPoint(350,350);
            poly3.addPoint(414,350);
            poly4 = new Polygon();
            poly4.addPoint(350,350);
            poly4.addPoint(350,500);
            poly4.addPoint(442,572);
            poly4.addPoint(433,500);
            poly4.addPoint(414,350);
            poly5 = new Polygon();
            poly5.addPoint(476,183);
            poly5.addPoint(332,225);
            poly5.addPoint(278,295);
            poly5.addPoint(404,279);
            poly5.addPoint(571,254);
            poly6= new Polygon();
            poly6.addPoint(405,278);
            poly6.addPoint(332,224);
            poly6.addPoint(476,182);
            // create parallelogram of height A
            parA = new Polygon();
            parA.addPoint(0, 0);               // add P0 coordinate
            parA.addPoint(0, C);               // add C3 coordinate
            parA.addPoint(A*A/C, C - A*B/C);          // add Q0 coordinate
            parA.addPoint(A*A/C, -A*B/C);          // add A3 coordinate
            parA.translate(X0,Y0);               // place parallelogram
            // create parallelogram of height B
            // warning: the coordinate of this object are specified from C1
            parB = new Polygon();
            parB.addPoint(0, 0);               // add C1 coordinate
            parB.addPoint(-B*B/C, -B*A/C);          // add A3 coordinate
            parB.addPoint(A*A/C - C, C - A*B/C);     // add Q0 coordinate
            parB.addPoint(0, C);               // add C2 coordinate
            parB.translate(X0 + C, Y0);
            // place parallelogram
        // depending on the sequence number we draw certain objects
        public void paint(Graphics gfx) {
            super.paint(gfx);
            Graphics2D g = (Graphics2D) gfx;
            g.setRenderingHint(RenderingHints.KEY_ANTIALIASING,
            RenderingHints.VALUE_ANTIALIAS_ON);
            // text first, then objects (and animation)
            // we always output some notes
            g.drawString(notes[3*sequence], noteX, noteY);
            g.drawString(notes[3*sequence + 1], noteX, noteY + lineSpacing);
            g.drawString(notes[3*sequence + 2], noteX, noteY + 2*lineSpacing);
            // the object are drawn in an order so that they are properly overlapped
            if(sequence == 13) {
                g.setColor(Color.green);
                g.fillPolygon(poly1);
                g.fillPolygon(poly2);
                g.fillPolygon(poly3);
                g.fillPolygon(poly4);
                g.fillPolygon(poly5);
                g.setColor(Color.RED);
                g.setColor(Color.GREEN);
                g.drawLine(413,351,433,499);
                g.setColor(Color.white);
                g.fillPolygon(tri);
                g.fillPolygon(tri1);
                g.fillPolygon(poly6);
            if(sequence == 12 ) {
                g.setColor(Color.green);
                g.fillPolygon(poly1);
                g.fillPolygon(poly2);
                g.fillPolygon(poly3);
                g.fillPolygon(poly4);
                g.fillPolygon(poly5);
                g.setColor(Color.BLACK);
            if(sequence == 11){
                g.setColor(Color.green);
                g.fillPolygon(poly1);
                g.fillPolygon(poly3);
                g.fillPolygon(poly4);
                g.setColor(Color.BLACK);
            if(sequence == 8 ){
                g.setColor(Color.green);
                g.fillPolygon(poly5);
                g.setColor(Color.MAGENTA);
                g.drawString("E",578,254);
                g.drawString("D",268,302);
                g.setColor(Color.black);
                g.drawArc(250,150,350,250,320,65);
            else if (sequence == 9 ){
                g.setColor(Color.green);
                g.fillPolygon(poly2);
                g.setColor(Color.MAGENTA);
                g.drawString("E",578,254);
                g.drawString("D",268,302);
                g.setColor(Color.black);
                g.drawArc(250,150,350,250,320,65);
            if( sequence == 10){
                g.setColor(Color.green);
                g.fillPolygon(poly2);
                g.fillPolygon(poly5);
                g.setColor(Color.black);
                g.setColor(Color.MAGENTA);
                g.drawString("E",578,254);
                g.drawString("D",268,302);
                g.setColor(Color.black);
                g.drawArc(250,150,350,250,320,65);
            if(sequence == 7){
                g.setColor(Color.green);
                g.fillPolygon(poly2);
                g.setColor(Color.MAGENTA);
                g.drawString("E",578,254);
                g.drawString("D",268,302);
                g.setColor(Color.black);
            if(sequence == 6){
                g.setColor(Color.yellow);
                g.fillPolygon(poly2);
                g.setColor(Color.green);
                g.fillPolygon(poly3);
                g.setColor(Color.blue);
                g.fillPolygon(poly4);
                g.setColor(Color.black);
                g.drawArc(250,175,350,275,300,65);
                //g.drawArc(250,150,350,250,320,65);
                g.drawLine( 606,309,599,299);
                g.drawLine(592,313, 599,299);
                g.drawString("+90 degrees",605,378);
            if (sequence == 5 ) {
                g.setColor(Color.yellow);
                g.fillPolygon(poly2);
                g.setColor(Color.black);
            if (sequence == 4) {
                g.setColor(Color.YELLOW);
                g.fillPolygon(poly1);
                g.setColor(Color.black);
                g.drawArc(319,310,250,195,89,-35);
                g.drawLine(499,319, 492,312);
                g.drawLine(499,319, 492,325);
                g.drawArc(200,180, 233,238,-120,-60);
                g.drawLine(200,298, 208,309);
                g.drawLine(200,298, 194,313);
                g.drawString("-90 degrees",227,347);
            if (sequence >= 3) {
                g.drawLine(404,279,442,572);
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