Need help on NTFS

Hi.
I have some external hard drives which were readable when plug into my MBP. I was trying to make my NTFS external drive writable in my MBP. So I installed NT Filesystem for Mac OS X (NTFS_1.0d2). After the installation, my MBP can no longer detect the NTFS external hard drive. After I uninstall the NT Filesystem, my MBP still cannot detect the external hard drive. It show a message "The drive you inserted cannot be rcognised," giving me three choices: initialisation, ignore and eject.
I just want my MBP to be able to read the NTFS external hard drive again. Anyone can help?
My MBP is running Mac OS X 10.6.7.

Try Paragon NTFS for Mac  OS X.
Paragon-Software
The demo works fully and is reported to work where the other couple NTFS drivers don't, and allow faster I/O.

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    Device ID: PCI\VEN_1106&DEV_3227&SUBSYS_00000000&REV_00\3&61AAA01&0&88
       Driver: F:\WINDOWS\system32\DRIVERS\isapnp.sys, 5.01.2600.0000 (Dutch), 9/6/2001 18:20:18, 36352 bytes
         Name: VIA USB 2.0 Enhanced Host Controller
    Device ID: PCI\VEN_1106&DEV_3104&SUBSYS_70201462&REV_86\3&61AAA01&0&84
       Driver: F:\WINDOWS\system32\drivers\usbehci.sys, 5.01.2600.2180 (English), 8/3/2004 23:08:38, 26624 bytes
       Driver: F:\WINDOWS\system32\drivers\usbport.sys, 5.01.2600.2180 (English), 8/3/2004 23:08:44, 142976 bytes
       Driver: F:\WINDOWS\system32\usbui.dll, 5.01.2600.2180 (Dutch), 8/4/2004 01:03:24, 76288 bytes
       Driver: F:\WINDOWS\system32\drivers\usbhub.sys, 5.01.2600.2180 (English), 8/3/2004 23:08:44, 57600 bytes
       Driver: F:\WINDOWS\system32\hccoin.dll, 5.01.2600.2180 (English), 8/4/2004 01:03:12, 7168 bytes
         Name: VIA OHCI Compliant IEEE 1394 Host Controller
    Device ID: PCI\VEN_1106&DEV_3044&SUBSYS_702D1462&REV_46\3&61AAA01&0&70
       Driver: F:\WINDOWS\system32\DRIVERS\ohci1394.sys, 5.01.2600.2180 (English), 8/3/2004 23:10:10, 61056 bytes
       Driver: F:\WINDOWS\system32\DRIVERS\1394bus.sys, 5.01.2600.2180 (English), 8/3/2004 23:10:08, 53248 bytes
       Driver: F:\WINDOWS\system32\DRIVERS\nic1394.sys, 5.01.2600.2180 (English), 8/3/2004 22:58:30, 61824 bytes
       Driver: F:\WINDOWS\system32\DRIVERS\arp1394.sys, 5.01.2600.2180 (English), 8/3/2004 22:58:30, 60800 bytes
       Driver: F:\WINDOWS\system32\DRIVERS\enum1394.sys, 5.01.2600.0000 (English), 8/17/2001 23:46:40, 6400 bytes
         Name: VIA Rev 5 of later USB universele host-controller
    Device ID: PCI\VEN_1106&DEV_3038&SUBSYS_70201462&REV_81\3&61AAA01&0&83
       Driver: F:\WINDOWS\system32\drivers\usbuhci.sys, 5.01.2600.2180 (English), 8/3/2004 23:08:38, 20480 bytes
       Driver: F:\WINDOWS\system32\drivers\usbport.sys, 5.01.2600.2180 (English), 8/3/2004 23:08:44, 142976 bytes
       Driver: F:\WINDOWS\system32\usbui.dll, 5.01.2600.2180 (Dutch), 8/4/2004 01:03:24, 76288 bytes
       Driver: F:\WINDOWS\system32\drivers\usbhub.sys, 5.01.2600.2180 (English), 8/3/2004 23:08:44, 57600 bytes
         Name: VIA Rev 5 of later USB universele host-controller
    Device ID: PCI\VEN_1106&DEV_3038&SUBSYS_70201462&REV_81\3&61AAA01&0&82
       Driver: F:\WINDOWS\system32\drivers\usbuhci.sys, 5.01.2600.2180 (English), 8/3/2004 23:08:38, 20480 bytes
       Driver: F:\WINDOWS\system32\drivers\usbport.sys, 5.01.2600.2180 (English), 8/3/2004 23:08:44, 142976 bytes
       Driver: F:\WINDOWS\system32\usbui.dll, 5.01.2600.2180 (Dutch), 8/4/2004 01:03:24, 76288 bytes
       Driver: F:\WINDOWS\system32\drivers\usbhub.sys, 5.01.2600.2180 (English), 8/3/2004 23:08:44, 57600 bytes
         Name: VIA Rev 5 of later USB universele host-controller
    Device ID: PCI\VEN_1106&DEV_3038&SUBSYS_70201462&REV_81\3&61AAA01&0&81
       Driver: F:\WINDOWS\system32\drivers\usbuhci.sys, 5.01.2600.2180 (English), 8/3/2004 23:08:38, 20480 bytes
       Driver: F:\WINDOWS\system32\drivers\usbport.sys, 5.01.2600.2180 (English), 8/3/2004 23:08:44, 142976 bytes
       Driver: F:\WINDOWS\system32\usbui.dll, 5.01.2600.2180 (Dutch), 8/4/2004 01:03:24, 76288 bytes
       Driver: F:\WINDOWS\system32\drivers\usbhub.sys, 5.01.2600.2180 (English), 8/3/2004 23:08:44, 57600 bytes
         Name: VIA Rev 5 of later USB universele host-controller
    Device ID: PCI\VEN_1106&DEV_3038&SUBSYS_70201462&REV_81\3&61AAA01&0&80
       Driver: F:\WINDOWS\system32\drivers\usbuhci.sys, 5.01.2600.2180 (English), 8/3/2004 23:08:38, 20480 bytes
       Driver: F:\WINDOWS\system32\drivers\usbport.sys, 5.01.2600.2180 (English), 8/3/2004 23:08:44, 142976 bytes
       Driver: F:\WINDOWS\system32\usbui.dll, 5.01.2600.2180 (Dutch), 8/4/2004 01:03:24, 76288 bytes
       Driver: F:\WINDOWS\system32\drivers\usbhub.sys, 5.01.2600.2180 (English), 8/3/2004 23:08:44, 57600 bytes
         Name: VIA Standard Host Bridge
    Device ID: PCI\VEN_1106&DEV_2282&SUBSYS_00000000&REV_00\3&61AAA01&0&02
       Driver: n/a
         Name: VIA Standard Host Bridge
    Device ID: PCI\VEN_1106&DEV_1282&SUBSYS_00000000&REV_00\3&61AAA01&0&01
       Driver: n/a
         Name: VIA Bus Master IDE Controller
    Device ID: PCI\VEN_1106&DEV_0571&SUBSYS_70201462&REV_06\3&61AAA01&0&78
       Driver: F:\WINDOWS\system32\DRIVERS\viaide.sys, 1.00.0001.0001 (English), 8/3/2004 22:59:44, 5376 bytes
       Driver: F:\WINDOWS\system32\DRIVERS\pciidex.sys, 5.01.2600.2180 (Dutch), 8/3/2004 22:59:42, 25088 bytes
       Driver: F:\WINDOWS\system32\DRIVERS\atapi.sys, 5.01.2600.2180 (English), 8/3/2004 22:59:44, 95360 bytes
         Name: VIA Standard Host Bridge
    Device ID: PCI\VEN_1106&DEV_0282&SUBSYS_00000000&REV_00\3&61AAA01&0&00
       Driver: n/a
         Name: Sound Blaster Live! 24-bit
    Device ID: PCI\VEN_1102&DEV_0007&SUBSYS_10061102&REV_00\3&61AAA01&0&30
       Driver: F:\WINDOWS\system32\ksuser.dll, 5.03.2600.2180 (Dutch), 8/4/2004 01:03:14, 4096 bytes
       Driver: F:\WINDOWS\system32\ksproxy.ax, 5.03.2600.2180 (Dutch), 8/4/2004 01:03:38, 130048 bytes
       Driver: F:\WINDOWS\system32\drivers\ks.sys, 5.03.2600.2180 (Dutch), 8/3/2004 23:15:22, 140928 bytes
       Driver: F:\WINDOWS\system32\drivers\drmk.sys, 5.01.2600.2180 (English), 8/3/2004 23:08:00, 60288 bytes
       Driver: F:\WINDOWS\system32\drivers\portcls.sys, 5.01.2600.2180 (English), 8/3/2004 23:15:50, 145792 bytes
       Driver: F:\WINDOWS\system32\drivers\stream.sys, 5.03.2600.2180 (Dutch), 8/3/2004 23:08:04, 48640 bytes
       Driver: F:\WINDOWS\system32\wdmaud.drv, 5.01.2600.2180 (English), 8/4/2004 01:03:40, 23552 bytes
       Driver: F:\WINDOWS\system32\CtDvInst.dll, 0.00.0000.0008 (English), 7/25/2003 11:35:48, 131072 bytes
       Driver: F:\WINDOWS\system32\drivers\ctoss2k.sys, 5.12.0001.0172 (English), 9/22/2003 02:47:38, 178672 bytes
       Driver: F:\WINDOWS\system32\drivers\ctsfm2k.sys, 5.12.0001.0172 (English), 9/22/2003 02:48:06, 130192 bytes
       Driver: F:\WINDOWS\system32\sfman32.dll, 5.12.0001.0130 (English), 8/17/2001 08:35:46, 36864 bytes
       Driver: F:\WINDOWS\system32\sfms32.dll, 5.12.0001.0172 (English), 9/22/2003 02:51:52, 172032 bytes
       Driver: F:\WINDOWS\system32\ct2mgm.sf2, 9/22/1999 09:18:00, 2167684 bytes
       Driver: F:\WINDOWS\system32\P17res.dll, 5.12.0001.0308 (English), 3/29/2004 04:02:48, 136704 bytes
       Driver: F:\WINDOWS\system32\P17.dll, 1.00.0001.0029 (English), 4/8/2004 04:37:40, 60928 bytes
       Driver: F:\WINDOWS\system32\drivers\P17.sys, 5.12.0001.0314 (English), 6/4/2004 10:27:46, 840960 bytes
       Driver: F:\WINDOWS\system32\drivers\Pfmodnt.sys, 3.00.0000.0003 (English), 3/5/2003 12:19:28, 15840 bytes
       Driver: F:\WINDOWS\system32\A3d.dll, 80.00.0000.0003 (English), 4/11/2002 03:41:06, 65536 bytes
       Driver: F:\WINDOWS\system32\P17CPI.dll, 1.00.0000.0002 (English), 10/2/2003 12:48:18, 53248 bytes
         Name: Ethernet-controller
    Device ID: PCI\VEN_10EC&DEV_8169&SUBSYS_702C1462&REV_10\3&61AAA01&0&58
       Driver: n/a
         Name: PCI standard host CPU bridge
    Device ID: PCI\VEN_1022&DEV_1103&SUBSYS_00000000&REV_00\3&61AAA01&0&C3
       Driver: n/a
         Name: PCI standard host CPU bridge
    Device ID: PCI\VEN_1022&DEV_1102&SUBSYS_00000000&REV_00\3&61AAA01&0&C2
       Driver: n/a
         Name: PCI standard host CPU bridge
    Device ID: PCI\VEN_1022&DEV_1101&SUBSYS_00000000&REV_00\3&61AAA01&0&C1
       Driver: n/a
         Name: PCI standard host CPU bridge
    Device ID: PCI\VEN_1022&DEV_1100&SUBSYS_00000000&REV_00\3&61AAA01&0&C0
       Driver: n/a
    ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
    Help would be very much appriciated, thnx!

    The two vis.cards issue is normal, it sees the primary output (VGA) as a device and the TV-out a separate device.
    Go to device manager to see if there's any device on ur rig that doesn't have drivers.
    Did u install the 4-in1 drivers, get the latest version from the MSI support site.
    good luck.

  • Need help adding Arch to Grub

    I am trying to dual boot Arch Linux and Ubuntu. When I try to boot there is no option for Arch. I have added it to the menu.lst file in ubuntu. Arch is installed on sdb1 according to sudo fdisk -l  I need help!

    Fdisk -l
    Disk /dev/sda: 80.0 GB, 80026361856 bytes
    255 heads, 63 sectors/track, 9729 cylinders
    Units = cylinders of 16065 * 512 = 8225280 bytes
    Disk identifier: 0xb38ab38a
       Device Boot      Start         End      Blocks   Id  System
    /dev/sda1   *           1        9544    76662148+  83  Linux
    /dev/sda2            9545        9729     1486012+   5  Extended
    /dev/sda5            9545        9729     1485981   82  Linux swap / Solaris
    Disk /dev/sdb: 40.9 GB, 40992473088 bytes
    255 heads, 63 sectors/track, 4983 cylinders
    Units = cylinders of 16065 * 512 = 8225280 bytes
    Disk identifier: 0x0002eb1f
       Device Boot      Start         End      Blocks   Id  System
    /dev/sdb1   *           1        4891    39286926   83  Linux
    Disk /dev/sdc: 250.0 GB, 250059350016 bytes
    255 heads, 63 sectors/track, 30401 cylinders
    Units = cylinders of 16065 * 512 = 8225280 bytes
    Disk identifier: 0x000ea9be
       Device Boot      Start         End      Blocks   Id  System
    /dev/sdc1               1       30401   244196001    7  HPFS/NTFS
    I think Arch is on the 40GB partition
    Menu.lst
    # menu.lst - See: grub(8), info grub, update-grub(8)
    #            grub-install(8), grub-floppy(8),
    #            grub-md5-crypt, /usr/share/doc/grub
    #            and /usr/share/doc/grub-doc/.
    ## default num
    # Set the default entry to the entry number NUM. Numbering starts from 0, and
    # the entry number 0 is the default if the command is not used.
    # You can specify 'saved' instead of a number. In this case, the default entry
    # is the entry saved with the command 'savedefault'.
    # WARNING: If you are using dmraid do not use 'savedefault' or your
    # array will desync and will not let you boot your system.
    default        0
    ## timeout sec
    # Set a timeout, in SEC seconds, before automatically booting the default entry
    # (normally the first entry defined).
    timeout        0
    ## hiddenmenu
    # Hides the menu by default (press ESC to see the menu)
    hiddenmenu
    # Pretty colours
    #color cyan/blue white/blue
    ## password ['--md5'] passwd
    # If used in the first section of a menu file, disable all interactive editing
    # control (menu entry editor and command-line)  and entries protected by the
    # command 'lock'
    # e.g. password topsecret
    ## password --md5 $1$gLhU0/$aW78kHK1QfV3P2b2znUoe/
    # password topsecret
    # examples
    # title        Windows 95/98/NT/2000
    # root        (hd0,0)
    # makeactive
    # chainloader    +1
    # title        Linux
    # root        (hd0,1)
    # kernel    /vmlinuz root=/dev/hda2 ro
    # Put static boot stanzas before and/or after AUTOMAGIC KERNEL LIST
    ### BEGIN AUTOMAGIC KERNELS LIST
    ## lines between the AUTOMAGIC KERNELS LIST markers will be modified
    ## by the debian update-grub script except for the default options below
    ## DO NOT UNCOMMENT THEM, Just edit them to your needs
    ## ## Start Default Options ##
    ## default kernel options
    ## default kernel options for automagic boot options
    ## If you want special options for specific kernels use kopt_x_y_z
    ## where x.y.z is kernel version. Minor versions can be omitted.
    ## e.g. kopt=root=/dev/hda1 ro
    ##      kopt_2_6_8=root=/dev/hdc1 ro
    ##      kopt_2_6_8_2_686=root=/dev/hdc2 ro
    # kopt=root=UUID=ce3a864f-3f72-480b-96b3-54516b307170 ro
    ## default grub root device
    ## e.g. groot=(hd0,0)
    # groot=ce3a864f-3f72-480b-96b3-54516b307170
    ## should update-grub create alternative automagic boot options
    ## e.g. alternative=true
    ##      alternative=false
    # alternative=true
    ## should update-grub lock alternative automagic boot options
    ## e.g. lockalternative=true
    ##      lockalternative=false
    # lockalternative=false
    ## additional options to use with the default boot option, but not with the
    ## alternatives
    ## e.g. defoptions=vga=791 resume=/dev/hda5
    # defoptions=quiet splash
    ## should update-grub lock old automagic boot options
    ## e.g. lockold=false
    ##      lockold=true
    # lockold=false
    ## Xen hypervisor options to use with the default Xen boot option
    # xenhopt=
    ## Xen Linux kernel options to use with the default Xen boot option
    # xenkopt=console=tty0
    ## altoption boot targets option
    ## multiple altoptions lines are allowed
    ## e.g. altoptions=(extra menu suffix) extra boot options
    ##      altoptions=(recovery) single
    # altoptions=(recovery mode) single
    ## controls how many kernels should be put into the menu.lst
    ## only counts the first occurence of a kernel, not the
    ## alternative kernel options
    ## e.g. howmany=all
    ##      howmany=7
    # howmany=all
    ## specify if running in Xen domU or have grub detect automatically
    ## update-grub will ignore non-xen kernels when running in domU and vice versa
    ## e.g. indomU=detect
    ##      indomU=true
    ##      indomU=false
    # indomU=detect
    ## should update-grub create memtest86 boot option
    ## e.g. memtest86=true
    ##      memtest86=false
    # memtest86=true
    ## should update-grub adjust the value of the default booted system
    ## can be true or false
    # updatedefaultentry=false
    ## should update-grub add savedefault to the default options
    ## can be true or false
    # savedefault=false
    ## ## End Default Options ##
    title        Ubuntu 9.04
    uuid        ce3a864f-3f72-480b-96b3-54516b307170
    kernel        /boot/vmlinuz-2.6.28-11-generic root=UUID=ce3a864f-3f72-480b-96b3-54516b307170 ro quiet splash
    initrd        /boot/initrd.img-2.6.28-11-generic
    quiet
    #title        Ubuntu 9.04, kernel 2.6.28-11-generic (recovery mode)
    #uuid        ce3a864f-3f72-480b-96b3-54516b307170
    #kernel        /boot/vmlinuz-2.6.28-11-generic root=UUID=ce3a864f-3f72-480b-96b3-54516b307170 ro  single
    #initrd        /boot/initrd.img-2.6.28-11-generic
    #title        Ubuntu 9.04, memtest86+
    #uuid        ce3a864f-3f72-480b-96b3-54516b307170
    #kernel        /boot/memtest86+.bin
    #quiet
    # (0) Arch Linux
    title  Arch Linux 
    root   (hd1,0)
    kernel /vmlinuz26 root=/dev/sda3 ro
    initrd /kernel26.img
    ### END DEBIAN AUTOMAGIC KERNELS LIST
    title Arch
    rootnoverify (hd0,1)
    chainloader +1

  • Need help reading burn CDR mp3 and dvdrw from my superdrive

    my Super Drive was fine untill i upgrade to Maverick now it wouldnt  read the music on all of my burn cdr disk and dvdrw . ALso .need help  reading my external 2TB External Ntfs Hard drive.....

    To many conflicting information...
    my Super Drive was fine untill i upgrade to Maverick
    Per your system profile: "Mac mini, Mac OS 9.1.x"
    Mac Minis do not have a superdrive.  You also posted in the Intel iMac forums.
    Please correct and/or update so that you will be provided w/the correct troubleshooting suggestions.

  • The item referred to by this shortcut cannot be accessed. you may not have the appropriate permissions, this erroe message i get every time i try to access iTunes, I need help.

    I have been having this problem for few weeks I tried to unistall it and reinstall it still didn't work I also tried to delet the shortcut by draging it to Recyle bin and find the iTunes through the c drive and send the icon or even open it from there still didn't work so I really need help here.
    Thank you

    Ok. seems like I am in bigger problem than what i thought..So i did what you asked me and here is the log from the scan
    Malwarebytes Anti-Malware (Trial) 1.62.0.1300
    www.malwarebytes.org
    Database version: v2012.07.25.04
    Windows 7 Service Pack 1 x64 NTFS
    Internet Explorer 9.0.8112.16421
    [administrator
    Protection: Enabled
    7/25/2012 8:34:03 PM
    mbam-log-2012-07-25 (20-42-53).txt
    Scan type: Quick scan
    Scan options enabled: Memory | Startup | Registry | File System | Heuristics/Extra | Heuristics/Shuriken | PUP | PUM
    Scan options disabled: P2P
    Objects scanned: 239337
    Time elapsed: 7 minute(s), 52 second(s)
    Memory Processes Detected: 0
    (No malicious items detected)
    Memory Modules Detected: 0
    (No malicious items detected)
    Registry Keys Detected: 1
    HKLM\SOFTWARE\Google\chrome\Extensions\fdloijijlkoblmigdofommgnheckmaki (PUP.Funmoods) -> No action taken.
    Registry Values Detected: 0
    (No malicious items detected)
    Registry Data Items Detected: 0
    (No malicious items detected)
    Folders Detected: 0
    (No malicious items detected)
    Files Detected: 3
    C:\Users\mer\Downloads\7zip_Setup.exe (PUP.Bundle.Installer.OI) -> No action taken.
    C:\Users\mer\Downloads\Setup.exe (PUP.Bundle.Installer.OI) -> No action taken.
    C:\Users\mer\Downloads\SoftonicDownloader_for_mkv-player.exe (PUP.ToolbarDownloader) -> No action taken.
    So I removed everything and did the restart but still didn't work, the I used Microsoft Security Essentials and find this one: TrojanDownloader:ASX/Wimad.DS and the alert level was severe so I removed too and the problem was still there even after restarting the computer, Now I am kinda lost and I dont Know what to do.

  • I need help with a laptop

    where should i start....Windows update had to iinstall 165 updates, so i let it, then the next day, i reinstalled windows thimking it would fix the problem, it made another one, i looked at os:C and it said 25gb in use, i was like ok, let me delete windows.old,
    i did that, it freed up like 2gb of it....so i took the hdd out, and reformatted it in a ntfs file system, it took like 7 hours (its a 500gb hdd) after that i get this error 0xc000000f.....im thinking when i reformatted it, it killed the master boot sector/record....when
    it comes to this screen it says windows fail to start a recent hardware or software change might be the cause to fix the problem 1. insert your windows installation disc (which didnt work) since i cant even do that listing the other options are useless...
    it also says the boot selection faild because a required device is inaccessible,  its not booting right,
    so i need help, i need to give this comp back in 2hr any help

    I suggest you to try scanning the HDD for any errors using Seagate SeaTools from here (works with non-Seagate HDDs also):
    http://www.seagate.com/support/downloads/item/seatools-dos-master/
    If there is no issue with the HDD, you can proceed with installation of Windows. If not, contact the PC manufacturer support or the HDD manufacturer support (if bought separetly) and ask for a replacement. If warranty is present, the replacement will be
    made free of cost.
    Balaji Kundalam

  • Need help to fix my pc

    my computer is completely turned to window,
    all the apple system is deleted,while i download
    window xp now the computer is working as a window xp not as an apple.
    i try to download re-installation cd but i can;t.i need help if somebody
    guide me i will welcome. thanks.

    Your question is not completely clear, but I'm going to guess that while installing Windows on your Mac, you formatted the entire hard drive as NTFS. If this is what happened, there are 2 things you can try. If you have any information you do not want deleted from Windows, such as documents you created, back them up ASAP before you do any of these steps, as it's going to erase your hard drive (that is the only way to fix it), and you will have to reinstall Mac OS and Windows, and then restore your data, hopefully you had a back up.
    Option 1 is follow the steps in this article: http://support.apple.com/kb/TS2176.
    Option 2 may or may not work, but you can try booting from the windows install disk, run the windows installer and reformat the entire hard drive as FAT instead of NTFS.

  • 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                   .              |
    ---------------------------------------+
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