/ Chip Hitware 7 B / CHIP_HITWARE_7B.iso / Edukacja / Isopticon / Samples / Simple_and_difficult.iso

< prev

next >

view JSON data

view as text

open on a Mac

open on a PC

+--------+-------------------------+-------------------------+--------+--------+
|00000000| 24 00 ff ff 01 00 05 00 | 43 41 78 65 73 cd cc cc |$.......|CAxes...|
|00000010| cc cc cc 1e c0 00 00 00 | 00 00 00 26 40 cd cc cc |........|...&@...|
|00000020| cc cc cc 1e 40 00 00 00 | 00 00 00 26 c0 00 00 00 |....@...|...&....|
|00000030| 00 00 00 00 00 f0 3f 81 | 01 00 00 26 02 00 00 32 |......?.|...&...2|
|00000040| 00 00 00 32 00 00 00 02 | 03 00 00 4c 04 00 00 00 |...2....|...L....|
|00000050| 00 00 00 00 00 00 40 00 | 00 00 00 00 00 00 40 00 |......@.|......@.|
|00000060| 00 00 00 c0 c0 c0 00 ff | ff 01 00 08 00 43 54 65 |........|.....CTe|
|00000070| 78 74 4f 62 6a 66 66 66 | 66 66 66 10 40 e1 7a 14 |xtObjfff|fff.@.z.|
|00000080| ae 47 e1 24 c0 33 33 33 | 33 33 33 1d 40 85 eb 51 |.G.$.333|333.@..Q|
|00000090| b8 1e 85 25 c0 00 00 00 | 00 0a 00 00 00 00 00 00 |...%....|........|
|000000a0| 00 00 00 00 00 00 00 00 | 00 0f 54 69 6d 65 73 20 |........|..Times |
|000000b0| 4e 65 77 20 52 6f 6d 61 | 6e 10 49 73 6f 70 74 69 |New Roma|n.Isopti|
|000000c0| 6b 6f 6e 20 a9 20 31 39 | 39 38 03 80 33 33 33 33 |kon . 19|98..3333|
|000000d0| 33 33 1b c0 e1 7a 14 ae | 47 e1 24 c0 66 66 66 66 |33...z..|G.$.ffff|
|000000e0| 66 66 06 c0 85 eb 51 b8 | 1e 85 25 c0 00 00 00 00 |ff....Q.|..%.....|
|000000f0| 0a 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000100| 0f 54 69 6d 65 73 20 4e | 65 77 20 52 6f 6d 61 6e |.Times N|ew Roman|
|00000110| 14 53 69 6d 70 6c 65 5f | 61 6e 64 5f 64 69 66 66 |.Simple_|and_diff|
|00000120| 69 63 75 6c 74 ff ff 01 | 00 0b 00 43 53 65 67 6d |icult...|...CSegm|
|00000130| 65 6e 74 4f 62 6a 33 33 | 33 33 33 33 1b c0 cd cc |entObj33|3333....|
|00000140| cc cc cc cc 24 c0 66 66 | 66 66 66 66 1c 40 cd cc |....$.ff|ffff.@..|
|00000150| cc cc cc cc 24 c0 00 00 | 01 00 00 00 00 00 02 00 |....$...|........|
|00000160| 00 00 02 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000170| ff 00 00 00 00 00 00 00 | 02 00 00 00 66 66 66 66 |........|....ffff|
|00000180| 66 66 1c 40 cd cc cc cc | cc cc 24 c0 33 33 33 33 |ff.@....|..$.3333|
|00000190| 33 33 1b c0 cd cc cc cc | cc cc 24 c0 03 80 48 e1 |33......|..$...H.|
|000001a0| 7a 14 ae 47 1b c0 33 33 | 33 33 33 33 24 40 7b 14 |z..G..33|3333$@{.|
|000001b0| ae 47 e1 7a 1c 40 9a 99 | 99 99 99 99 1d 40 00 00 |.G.z.@..|.....@..|
|000001c0| 00 00 0e 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000001d0| 00 00 0f 54 69 6d 65 73 | 20 4e 65 77 20 52 6f 6d |...Times| New Rom|
|000001e0| 61 6e f1 53 6f 6d 65 20 | 74 69 6d 65 73 20 74 68 |an.Some |times th|
|000001f0| 65 20 65 78 61 63 74 20 | 63 6f 6e 73 74 72 75 63 |e exact |construc|
|00000200| 74 69 6f 6e 20 6f 66 20 | 61 20 66 69 67 75 72 65 |tion of |a figure|
|00000210| 2c 20 65 73 70 65 63 69 | 61 6c 6c 79 20 66 6f 72 |, especi|ally for|
|00000220| 20 63 6f 6e 73 74 72 75 | 63 74 69 6f 6e 20 70 72 | constru|ction pr|
|00000230| 6f 62 6c 65 6d 73 2c 20 | 72 65 71 75 69 72 65 73 |oblems, |requires|
|00000240| 20 74 68 65 20 67 65 6f | 6d 65 74 72 69 63 20 73 | the geo|metric s|
|00000250| 6f 6c 75 74 69 6f 6e 2e | 0d 0a 46 2e 65 2e 0d 0a |olution.|..F.e...|
|00000260| 47 69 76 65 6e 20 61 6e | 20 61 72 62 69 74 72 61 |Given an| arbitra|
|00000270| 72 79 20 74 72 69 61 6e | 67 6c 65 20 41 42 43 2c |ry trian|gle ABC,|
|00000280| 20 66 69 6e 64 20 70 6f | 69 6e 74 73 20 45 20 61 | find po|ints E a|
|00000290| 6e 64 20 47 2c 20 72 65 | 73 70 65 63 74 69 76 65 |nd G, re|spective|
|000002a0| 6c 79 20 6f 6e 20 69 74 | 73 20 73 69 64 65 73 20 |ly on it|s sides |
|000002b0| 41 42 20 61 6e 64 20 41 | 43 2c 20 73 75 63 68 20 |AB and A|C, such |
|000002c0| 74 68 61 74 20 7c 42 45 | 7c 3d 7c 45 47 7c 3d 7c |that |BE||=|EG|=||
|000002d0| 47 43 7c 2e ff ff 01 00 | 09 00 43 54 72 69 61 6e |GC|.....|..CTrian|
|000002e0| 67 6c 65 1a 85 eb 51 b8 | 1e 19 c0 66 66 66 66 66 |gle...Q.|...fffff|
|000002f0| 66 1c 40 9a 99 99 99 99 | 99 f1 3f a8 70 3d 0a d7 |f.@.....|..?.p=..|
|00000300| a3 f0 3f 00 00 01 00 00 | 00 00 00 02 00 00 00 02 |..?.....|........|
|00000310| 00 00 00 00 00 00 00 01 | 00 00 00 00 00 ff ff 00 |........|........|
|00000320| 00 00 00 00 00 03 00 00 | 00 1a 85 eb 51 b8 1e 19 |........|....Q...|
|00000330| c0 a8 70 3d 0a d7 a3 f0 | 3f 9a 99 99 99 99 99 f1 |..p=....|?.......|
|00000340| 3f a8 70 3d 0a d7 a3 f0 | 3f 26 5c 8f c2 f5 28 12 |?.p=....|?&\...(.|
|00000350| c0 66 66 66 66 66 66 1c | 40 06 80 9a 99 99 99 99 |.ffffff.|@.......|
|00000360| 99 f1 3f a8 70 3d 0a d7 | a3 f0 3f 36 09 d3 00 eb |..?.p=..|..?6....|
|00000370| 91 17 40 a2 70 3d 0a d7 | a3 f0 3f 00 00 01 00 00 |..@.p=..|..?.....|
|00000380| 00 00 00 02 00 00 00 02 | 00 00 00 00 00 00 00 00 |........|........|
|00000390| 00 00 00 00 00 ff 00 00 | 00 00 00 00 00 02 00 00 |........|........|
|000003a0| 00 9a 99 99 99 99 99 f1 | 3f a8 70 3d 0a d7 a3 f0 |........|?.p=....|
|000003b0| 3f 36 09 d3 00 eb 91 17 | 40 a2 70 3d 0a d7 a3 f0 |?6......|@.p=....|
|000003c0| 3f 06 80 90 8c 3b 96 04 | 4f cf bf 03 9f 37 69 b9 |?....;..|O....7i.|
|000003d0| e0 03 40 36 09 d3 00 eb | 91 17 40 a2 70 3d 0a d7 |..@6....|..@.p=..|
|000003e0| a3 f0 3f 00 00 01 00 00 | 00 00 00 02 00 00 00 02 |..?.....|........|
|000003f0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 ff 00 00 |........|........|
|00000400| 00 00 00 00 00 02 00 00 | 00 90 8c 3b 96 04 4f cf |........|...;..O.|
|00000410| bf 03 9f 37 69 b9 e0 03 | 40 36 09 d3 00 eb 91 17 |...7i...|@6......|
|00000420| 40 a2 70 3d 0a d7 a3 f0 | 3f 06 80 1a 85 eb 51 b8 |@.p=....|?.....Q.|
|00000430| 1e 19 c0 03 9f 37 69 b9 | e0 03 40 90 8c 3b 96 04 |.....7i.|..@..;..|
|00000440| 4f cf bf a8 70 3d 0a d7 | a3 f0 3f 00 00 01 00 00 |O...p=..|..?.....|
|00000450| 00 00 00 02 00 00 00 02 | 00 00 00 00 00 00 00 00 |........|........|
|00000460| 00 00 00 00 00 ff 00 00 | 00 00 00 00 00 02 00 00 |........|........|
|00000470| 00 1a 85 eb 51 b8 1e 19 | c0 a8 70 3d 0a d7 a3 f0 |....Q...|..p=....|
|00000480| 3f 90 8c 3b 96 04 4f cf | bf 03 9f 37 69 b9 e0 03 |?..;..O.|...7i...|
|00000490| 40 ff ff 01 00 08 00 43 | 52 65 63 74 4f 62 6a 65 |@......C|RectObje|
|000004a0| 09 8b 50 77 e6 14 c0 02 | 0b f1 42 39 db 12 40 94 |..Pw....|..B9..@.|
|000004b0| 99 99 99 99 99 f1 3f a8 | 70 3d 0a d7 a3 f0 3f 00 |......?.|p=....?.|
|000004c0| 00 01 00 00 00 00 00 02 | 00 00 00 02 00 00 00 00 |........|........|
|000004d0| 00 00 00 01 00 00 00 00 | 00 00 ff 00 00 00 00 00 |........|........|
|000004e0| 00 04 00 00 00 9d 50 d9 | d8 74 f7 04 c0 43 23 0b |......P.|.t...C#.|
|000004f0| 89 98 a7 fe 3f 94 99 99 | 99 99 99 f1 3f a8 70 3d |....?...|....?.p=|
|00000500| 0a d7 a3 f0 3f c6 ea df | f6 59 11 f8 bf b6 3c 7b |....?...|.Y....<{|
|00000510| c6 91 b4 0e 40 65 09 8b | 50 77 e6 14 c0 02 0b f1 |....@e..|Pw......|
|00000520| 42 39 db 12 40 42 27 00 | 00 ff ff 01 00 09 00 43 |B9..@B'.|.......C|
|00000530| 50 6f 69 6e 74 4f 62 6a | b7 c1 a9 d5 62 38 15 c0 |PointObj|....b8..|
|00000540| 54 c3 0f c8 24 2d 13 40 | 13 51 6c cb 8b 94 14 c0 |T...$-.@|.Ql.....|
|00000550| b0 52 d2 bd 4d 89 12 40 | 00 00 01 00 00 00 00 00 |.R..M..@|........|
|00000560| 01 00 00 00 02 00 00 00 | 00 00 00 00 01 00 00 00 |........|........|
|00000570| 00 00 ff 00 00 00 00 00 | 00 00 02 00 00 00 65 09 |........|......e.|
|00000580| 8b 50 77 e6 14 c0 02 0b | f1 42 39 db 12 40 13 51 |.Pw.....|.B9..@.Q|
|00000590| 6c cb 8b 94 14 c0 02 0b | f1 42 39 db 12 40 80 14 |l.......|.B9..@..|
|000005a0| ae 47 e1 7a b4 3f 02 00 | 00 00 10 80 0c cc 5a 0b |.G.z.?..|......Z.|
|000005b0| 08 59 f9 bf 5a ad b8 d0 | 68 58 0f 40 7e 09 65 e2 |.Y..Z...|hX.@~.e.|
|000005c0| ab c9 f6 bf 12 cc 3d bc | ba 10 0e 40 00 00 01 00 |......=.|...@....|
|000005d0| 00 00 00 00 01 00 00 00 | 02 00 00 00 00 00 00 00 |........|........|
|000005e0| 01 00 00 00 00 00 ff 00 | 00 00 00 00 00 00 02 00 |........|........|
|000005f0| 00 00 c6 ea df f6 59 11 | f8 bf b6 3c 7b c6 91 b4 |......Y.|...<{...|
|00000600| 0e 40 7e 09 65 e2 ab c9 | f6 bf b6 3c 7b c6 91 b4 |.@~.e...|...<{...|
|00000610| 0e 40 80 14 ae 47 e1 7a | b4 3f 02 00 00 00 06 80 |.@...G.z|.?......|
|00000620| 9d 50 d9 d8 74 f7 04 c0 | 03 9f 37 69 b9 e0 03 40 |.P..t...|..7i...@|
|00000630| 90 8c 3b 96 04 4f cf bf | 43 23 0b 89 98 a7 fe 3f |..;..O..|C#.....?|
|00000640| 00 00 01 00 01 00 00 00 | 01 00 00 00 02 00 00 00 |........|........|
|00000650| 00 00 00 00 01 00 00 00 | 00 00 ff ff 00 00 00 00 |........|........|
|00000660| 00 00 02 00 00 00 9d 50 | d9 d8 74 f7 04 c0 43 23 |.......P|..t...C#|
|00000670| 0b 89 98 a7 fe 3f 90 8c | 3b 96 04 4f cf bf 03 9f |.....?..|;..O....|
|00000680| 37 69 b9 e0 03 40 03 80 | e1 7a 14 ae 47 e1 12 c0 |7i...@..|.z..G...|
|00000690| ec 51 b8 1e 85 eb 1d 40 | c3 f5 28 5c 8f c2 11 c0 |.Q.....@|..(\....|
|000006a0| 29 5c 8f c2 f5 28 1c 40 | 00 00 00 00 0e 00 00 00 |)\...(.@|........|
|000006b0| 00 00 00 00 00 00 00 00 | 00 00 00 00 0f 54 69 6d |........|.....Tim|
|000006c0| 65 73 20 4e 65 77 20 52 | 6f 6d 61 6e 01 41 03 80 |es New R|oman.A..|
|000006d0| 00 00 00 00 00 00 1a c0 | 8f c2 f5 28 5c 8f f2 3f |........|...(\..?|
|000006e0| e1 7a 14 ae 47 e1 18 c0 | 0a d7 a3 70 3d 0a e7 3f |.z..G...|...p=..?|
|000006f0| 00 00 00 00 0e 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000700| 00 00 00 00 0f 54 69 6d | 65 73 20 4e 65 77 20 52 |.....Tim|es New R|
|00000710| 6f 6d 61 6e 01 42 03 80 | f6 28 5c 8f c2 f5 f0 3f |oman.B..|.(\....?|
|00000720| 14 ae 47 e1 7a 14 ee 3f | 71 3d 0a d7 a3 70 f5 3f |..G.z..?|q=...p.?|
|00000730| 00 00 00 00 00 00 e0 3f | 00 00 00 00 0e 00 00 00 |.......?|........|
|00000740| 00 00 00 00 00 00 00 00 | 00 00 00 00 0f 54 69 6d |........|.....Tim|
|00000750| 65 73 20 4e 65 77 20 52 | 6f 6d 61 6e 01 43 03 80 |es New R|oman.C..|
|00000760| 14 ae 47 e1 7a 14 18 40 | a4 70 3d 0a d7 a3 f0 3f |..G.z..@|.p=....?|
|00000770| 33 33 33 33 33 33 19 40 | 33 33 33 33 33 33 e3 3f |333333.@|333333.?|
|00000780| 00 00 00 00 0e 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000790| 00 00 00 00 0f 54 69 6d | 65 73 20 4e 65 77 20 52 |.....Tim|es New R|
|000007a0| 6f 6d 61 6e 01 44 03 80 | e1 7a 14 ae 47 e1 da bf |oman.D..|.z..G...|
|000007b0| 7b 14 ae 47 e1 7a 08 40 | ec 51 b8 1e 85 eb c1 bf |{..G.z.@|.Q......|
|000007c0| f6 28 5c 8f c2 f5 04 40 | 00 00 00 00 0e 00 00 00 |.(\....@|........|
|000007d0| 00 00 00 00 00 00 00 00 | 00 00 00 00 0f 54 69 6d |........|.....Tim|
|000007e0| 65 73 20 4e 65 77 20 52 | 6f 6d 61 6e 01 48 03 80 |es New R|oman.H..|
|000007f0| ec 51 b8 1e 85 eb 05 c0 | 5c 8f c2 f5 28 5c 03 40 |.Q......|\...(\.@|
|00000800| ae 47 e1 7a 14 ae 03 c0 | ae 47 e1 7a 14 ae ff 3f |.G.z....|.G.z...?|
|00000810| 00 00 00 00 0e 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000820| 00 00 00 00 0f 54 69 6d | 65 73 20 4e 65 77 20 52 |.....Tim|es New R|
|00000830| 6f 6d 61 6e 01 46 03 80 | 66 66 66 66 66 66 16 c0 |oman.F..|ffffff..|
|00000840| 67 66 66 66 66 66 14 40 | e1 7a 14 ae 47 e1 14 c0 |gfffff.@|.z..G...|
|00000850| 66 66 66 66 66 66 12 40 | 00 00 00 00 0e 00 00 00 |ffffff.@|........|
|00000860| 00 00 00 00 01 00 00 00 | ff 00 00 00 0f 54 69 6d |........|.....Tim|
|00000870| 65 73 20 4e 65 77 20 52 | 6f 6d 61 6e 01 45 03 80 |es New R|oman.E..|
|00000880| 5d 8f c2 f5 28 5c f7 bf | 0b d7 a3 70 3d 0a 11 40 |]...(\..|...p=..@|
|00000890| 72 3d 0a d7 a3 70 ed bf | a5 70 3d 0a d7 a3 0c 40 |r=...p..|.p=....@|
|000008a0| 00 00 00 00 0e 00 00 00 | 00 00 00 00 01 00 00 00 |........|........|
|000008b0| ff 00 00 00 0f 54 69 6d | 65 73 20 4e 65 77 20 52 |.....Tim|es New R|
|000008c0| 6f 6d 61 6e 01 47 03 80 | 32 33 33 33 33 33 1b c0 |oman.G..|233333..|
|000008d0| e0 7a 14 ae 47 e1 ea bf | 7c 14 ae 47 e1 7a 1c 40 |.z..G...||..G.z.@|
|000008e0| 2f 33 33 33 33 33 20 c0 | 00 00 00 00 0e 00 00 00 |/33333 .|........|
|000008f0| 00 00 00 00 00 00 00 00 | 00 00 00 00 0f 54 69 6d |........|.....Tim|
|00000900| 65 73 20 4e 65 77 20 52 | 6f 6d 61 6e ff a4 02 54 |es New R|oman...T|
|00000910| 6f 20 66 69 6e 64 20 74 | 68 65 20 70 6f 69 6e 74 |o find t|he point|
|00000920| 73 20 28 61 73 73 75 6d | 69 6e 67 20 7c 41 42 7c |s (assum|ing |AB||
|00000930| 3c 7c 41 43 7c 29 3a 0d | 0a 44 65 66 69 6e 65 20 |<|AC|):.|.Define |
|00000940| 48 20 6f 6e 20 41 43 2c | 20 73 75 63 68 20 74 68 |H on AC,| such th|
|00000950| 61 74 3a 20 7c 41 48 7c | 3d 7c 41 42 7c 2e 0d 0a |at: |AH||=|AB|...|
|00000960| 54 61 6b 65 20 44 20 6f | 6e 20 74 68 65 20 65 78 |Take D o|n the ex|
|00000970| 74 65 6e 73 69 6f 6e 20 | 6f 66 20 42 43 2c 20 73 |tension |of BC, s|
|00000980| 75 63 68 20 74 68 61 74 | 20 7c 48 44 7c 3d 7c 41 |uch that| |HD|=|A|
|00000990| 48 7c 3d 7c 41 42 7c 2e | 0d 0a 44 65 66 69 6e 65 |H|=|AB|.|..Define|
|000009a0| 20 46 20 6f 6e 20 42 48 | 2c 20 73 75 63 68 20 74 | F on BH|, such t|
|000009b0| 68 61 74 20 46 43 20 69 | 73 20 70 61 72 61 6c 6c |hat FC i|s parall|
|000009c0| 65 6c 20 74 6f 20 48 44 | 2e 0d 0a 54 61 6b 65 20 |el to HD|...Take |
|000009d0| 45 20 6f 6e 20 41 42 2c | 20 73 75 63 68 20 74 68 |E on AB,| such th|
|000009e0| 61 74 20 45 46 20 69 73 | 20 70 61 72 61 6c 6c 65 |at EF is| paralle|
|000009f0| 6c 20 74 6f 20 41 43 2e | 20 0d 0a 54 61 6b 65 20 |l to AC.| ..Take |
|00000a00| 47 20 6f 6e 20 41 43 2c | 20 73 75 63 68 20 74 68 |G on AC,| such th|
|00000a10| 61 74 20 45 47 20 69 73 | 20 70 61 72 61 6c 6c 65 |at EG is| paralle|
|00000a20| 6c 20 74 6f 20 46 43 2e | 0d 0a 0d 0a 46 72 6f 6d |l to FC.|....From|
|00000a30| 20 74 68 65 20 63 6f 6e | 73 74 72 75 63 74 69 6f | the con|structio|
|00000a40| 6e 20 28 45 42 46 20 73 | 69 6d 69 6c 61 72 20 74 |n (EBF s|imilar t|
|00000a50| 6f 20 41 42 48 29 2c 20 | 77 65 20 68 61 76 65 20 |o ABH), |we have |
|00000a60| 7c 45 42 7c 3d 7c 45 46 | 7c 3d 7c 47 43 7c 2e 0d ||EB|=|EF||=|GC|..|
|00000a70| 0a 57 65 20 73 68 6f 77 | 20 74 68 61 74 20 7c 45 |.We show| that |E|
|00000a80| 47 7c 3d 7c 46 43 7c 3d | 7c 47 43 7c 20 74 6f 6f |G|=|FC|=||GC| too|
|00000a90| 2e 20 53 6f 20 74 68 61 | 74 20 45 47 43 46 20 69 |. So tha|t EGCF i|
|00000aa0| 73 20 61 20 72 68 6f 6d | 62 75 73 2e 0d 0a 49 6e |s a rhom|bus...In|
|00000ab0| 20 66 61 63 74 2c 20 73 | 69 6e 63 65 20 42 46 43 | fact, s|ince BFC|
|00000ac0| 20 61 6e 64 20 42 48 44 | 20 61 72 65 20 73 69 6d | and BHD| are sim|
|00000ad0| 69 6c 61 72 2c 20 77 65 | 20 68 61 76 65 20 7c 46 |ilar, we| have |F|
|00000ae0| 43 7c 2f 7c 42 46 7c 3d | 7c 48 44 7c 2f 7c 42 48 |C|/|BF|=||HD|/|BH|
|00000af0| 7c 20 3d 20 7c 41 48 7c | 2f 7c 42 48 7c 20 3d 20 || = |AH||/|BH| = |
|00000b00| 7c 45 46 7c 2f 7c 42 46 | 7c 2e 20 48 65 6e 63 65 ||EF|/|BF||. Hence|
|00000b10| 20 7c 46 43 7c 3d 7c 45 | 46 7c 2c 20 61 73 20 72 | |FC|=|E|F|, as r|
|00000b20| 65 71 75 69 72 65 64 2e | 0d 0a 0d 0a 50 72 6f 62 |equired.|....Prob|
|00000b30| 6c 65 6d 3a 20 0d 0a 54 | 6f 20 63 6f 6e 73 74 72 |lem: ..T|o constr|
|00000b40| 75 63 74 20 61 20 74 72 | 69 61 6e 67 6c 65 20 41 |uct a tr|iangle A|
|00000b50| 42 43 20 66 72 6f 6d 20 | 74 68 65 20 61 6e 67 6c |BC from |the angl|
|00000b60| 65 20 41 20 61 6e 64 20 | 74 68 65 20 73 75 6d 73 |e A and |the sums|
|00000b70| 20 6f 66 20 6c 65 6e 67 | 74 68 73 20 61 2b 63 20 | of leng|ths a+c |
|00000b80| 61 6e 64 20 61 2b 62 2e | 0d 0a 48 69 6e 74 3a 20 |and a+b.|..Hint: |
|00000b90| 52 65 64 75 63 65 20 69 | 74 20 74 6f 20 74 68 65 |Reduce i|t to the|
|00000ba0| 20 70 72 65 76 69 6f 75 | 73 20 65 78 65 72 63 69 | previou|s exerci|
|00000bb0| 73 65 2e 09 80 85 eb 51 | b8 1e 85 f3 bf 71 3d 0a |se.....Q|.....q=.|
|00000bc0| d7 a3 70 1f c0 14 ae 47 | e1 7a 14 ee 3f ae 47 e1 |..p....G|.z..?.G.|
|00000bd0| 7a 14 ae 22 c0 00 00 01 | 00 00 00 00 00 01 00 00 |z.."....|........|
|00000be0| 00 02 00 00 00 00 00 00 | 00 01 00 00 00 00 00 00 |........|........|
|00000bf0| ff 00 00 00 00 00 00 03 | 00 00 00 14 ae 47 e1 7a |........|.....G.z|
|00000c00| 14 ee 3f 71 3d 0a d7 a3 | 70 1f c0 cd cc cc cc cc |..?q=...|p.......|
|00000c10| cc ec 3f ae 47 e1 7a 14 | ae 22 c0 85 eb 51 b8 1e |..?.G.z.|."...Q..|
|00000c20| 85 f3 bf 9a 99 99 99 99 | 99 22 c0 06 80 14 ae 47 |........|.".....G|
|00000c30| e1 7a 14 ee 3f dc d7 e2 | 7c ac 27 1c c0 44 1c c8 |.z..?...||.'..D..|
|00000c40| c6 04 60 01 40 71 3d 0a | d7 a3 70 1f c0 00 00 01 |..`.@q=.|..p.....|
|00000c50| 00 00 00 00 00 01 00 00 | 00 02 00 00 00 00 00 00 |........|........|
|00000c60| 00 00 00 00 00 00 00 00 | ff 00 00 00 00 00 00 02 |........|........|
|00000c70| 00 00 00 14 ae 47 e1 7a | 14 ee 3f 71 3d 0a d7 a3 |.....G.z|..?q=...|
|00000c80| 70 1f c0 44 1c c8 c6 04 | 60 01 40 dc d7 e2 7c ac |p..D....|`.@...|.|
|00000c90| 27 1c c0 06 80 cd cc cc | cc cc cc ec 3f ae 47 e1 |'.......|....?.G.|
|00000ca0| 7a 14 ae 22 c0 ad 4a df | a7 ce 0a 03 40 8b c0 eb |z.."..J.|....@...|
|00000cb0| 49 61 bc 22 c0 00 00 01 | 00 00 00 00 00 01 00 00 |Ia."....|........|
|00000cc0| 00 02 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000cd0| ff 00 00 00 00 00 00 02 | 00 00 00 cd cc cc cc cc |........|........|
|00000ce0| cc ec 3f ae 47 e1 7a 14 | ae 22 c0 ad 4a df a7 ce |..?.G.z.|."..J...|
|00000cf0| 0a 03 40 8b c0 eb 49 61 | bc 22 c0 06 80 44 1c c8 |..@...Ia|."...D..|
|00000d00| c6 04 60 01 40 dc d7 e2 | 7c ac 27 1c c0 ad 4a df |..`.@...||.'...J.|
|00000d10| a7 ce 0a 03 40 8b c0 eb | 49 61 bc 22 c0 00 00 01 |....@...|Ia."....|
|00000d20| 00 00 00 00 00 01 00 00 | 00 02 00 00 00 00 00 00 |........|........|
|00000d30| 00 00 00 00 00 00 00 00 | ff 00 00 00 00 00 00 02 |........|........|
|00000d40| 00 00 00 ad 4a df a7 ce | 0a 03 40 8b c0 eb 49 61 |....J...|..@...Ia|
|00000d50| bc 22 c0 44 1c c8 c6 04 | 60 01 40 dc d7 e2 7c ac |.".D....|`.@...|.|
|00000d60| 27 1c c0 03 80 f6 28 5c | 8f c2 f5 f8 bf 48 e1 7a |'.....(\|.....H.z|
|00000d70| 14 ae 47 22 c0 7b 14 ae | 47 e1 7a f4 bf 29 5c 8f |..G".{..|G.z..)\.|
|00000d80| c2 f5 28 23 c0 00 00 00 | 00 0e 00 00 00 00 00 00 |..(#....|........|
|00000d90| 00 00 00 00 00 00 00 00 | 00 0f 54 69 6d 65 73 20 |........|..Times |
|00000da0| 4e 65 77 20 52 6f 6d 61 | 6e 01 41 03 80 f6 28 5c |New Roma|n.A...(\|
|00000db0| 8f c2 f5 e8 3f b9 1e 85 | eb 51 b8 22 c0 f6 28 5c |....?...|.Q."..(\|
|00000dc0| 8f c2 f5 f0 3f 9a 99 99 | 99 99 99 23 c0 00 00 00 |....?...|...#....|
|00000dd0| 00 0e 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000de0| 00 0f 54 69 6d 65 73 20 | 4e 65 77 20 52 6f 6d 61 |..Times |New Roma|
|00000df0| 6e 01 42 03 80 52 b8 1e | 85 eb 51 e8 3f c2 f5 28 |n.B..R..|..Q.?..(|
|00000e00| 5c 8f c2 1d c0 a4 70 3d | 0a d7 a3 f0 3f 85 eb 51 |\.....p=|....?..Q|
|00000e10| b8 1e 85 1f c0 00 00 00 | 00 0e 00 00 00 00 00 00 |........|........|
|00000e20| 00 00 00 00 00 00 00 00 | 00 0f 54 69 6d 65 73 20 |........|..Times |
|00000e30| 4e 65 77 20 52 6f 6d 61 | 6e 01 43 03 80 34 33 33 |New Roma|n.C..433|
|00000e40| 33 33 33 d3 bf 7b 14 ae | 47 e1 7a 22 c0 68 14 ae |333..{..|G.z".h..|
|00000e50| 47 e1 7a 94 bf 5c 8f c2 | f5 28 5c 23 c0 00 00 00 |G.z..\..|.(\#....|
|00000e60| 00 0e 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000e70| 00 0f 54 69 6d 65 73 20 | 4e 65 77 20 52 6f 6d 61 |..Times |New Roma|
|00000e80| 6e 01 63 03 80 34 33 33 | 33 33 33 d3 bf 7a 14 ae |n.c..433|333..z..|
|00000e90| 47 e1 7a 20 c0 7d 14 ae | 47 e1 7a 94 bf 5b 8f c2 |G.z .}..|G.z..[..|
|00000ea0| f5 28 5c 21 c0 00 00 00 | 00 0e 00 00 00 00 00 00 |.(\!....|........|
|00000eb0| 00 00 00 00 00 00 00 00 | 00 0f 54 69 6d 65 73 20 |........|..Times |
|00000ec0| 4e 65 77 20 52 6f 6d 61 | 6e 01 62 03 80 14 ae 47 |New Roma|n.b....G|
|00000ed0| e1 7a 14 ee 3f ae 47 e1 | 7a 14 ae 20 c0 85 eb 51 |.z..?.G.|z.. ...Q|
|00000ee0| b8 1e 85 f3 3f 8f c2 f5 | 28 5c 8f 21 c0 00 00 00 |....?...|(\.!....|
|00000ef0| 00 0e 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000f00| 00 0f 54 69 6d 65 73 20 | 4e 65 77 20 52 6f 6d 61 |..Times |New Roma|
|00000f10| 6e 01 61 03 80 ae 47 e1 | 7a 14 ae f7 3f 8f c2 f5 |n.a...G.|z...?...|
|00000f20| 28 5c 8f 1c c0 29 5c 8f | c2 f5 28 fc 3f 52 b8 1e |(\...)\.|..(.?R..|
|00000f30| 85 eb 51 1e c0 00 00 00 | 00 0e 00 00 00 00 00 00 |..Q.....|........|
|00000f40| 00 00 00 00 00 00 00 00 | 00 0f 54 69 6d 65 73 20 |........|..Times |
|00000f50| 4e 65 77 20 52 6f 6d 61 | 6e 01 61 03 80 48 e1 7a |New Roma|n.a..H.z|
|00000f60| 14 ae 47 f9 3f 70 3d 0a | d7 a3 70 22 c0 c4 f5 28 |..G.?p=.|..p"...(|
|00000f70| 5c 8f c2 fd 3f 51 b8 1e | 85 eb 51 23 c0 00 00 00 |\...?Q..|..Q#....|
|00000f80| 00 0e 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000f90| 00 0f 54 69 6d 65 73 20 | 4e 65 77 20 52 6f 6d 61 |..Times |New Roma|
|00000fa0| 6e 01 61 10 80 09 da a1 | 9d f7 66 02 40 62 64 5c |n.a.....|..f.@bd\|
|00000fb0| 87 6b 93 22 c0 51 bb 1c | b2 a5 ae 03 40 b4 1c 7b |.k.".Q..|....@..{|
|00000fc0| 0c 57 e5 22 c0 00 00 01 | 00 00 00 00 00 01 00 00 |.W."....|........|
|00000fd0| 00 02 00 00 00 00 00 00 | 00 01 00 00 00 00 00 ff |........|........|
|00000fe0| 00 00 00 00 00 00 00 02 | 00 00 00 ad 4a df a7 ce |........|....J...|
|00000ff0| 0a 03 40 8b c0 eb 49 61 | bc 22 c0 51 bb 1c b2 a5 |..@...Ia|.".Q....|
|00001000| ae 03 40 8b c0 eb 49 61 | bc 22 c0 80 14 ae 47 e1 |..@...Ia|."....G.|
|00001010| 7a b4 3f 02 00 00 00 10 | 80 a0 ab 8a bc 2d bc 00 |z.?.....|.....-..|
|00001020| 40 8a 1f c4 f7 c0 d5 1b | c0 e8 8c 05 d1 db 03 02 |@.......|........|
|00001030| 40 2e 90 01 02 98 79 1c | c0 00 00 01 00 00 00 00 |@.....y.|........|
|00001040| 00 01 00 00 00 02 00 00 | 00 00 00 00 00 01 00 00 |........|........|
|00001050| 00 00 00 ff 00 00 00 00 | 00 00 00 02 00 00 00 44 |........|.......D|
|00001060| 1c c8 c6 04 60 01 40 dc | d7 e2 7c ac 27 1c c0 e8 |....`.@.|..|.'...|
|00001070| 8c 05 d1 db 03 02 40 dc | d7 e2 7c ac 27 1c c0 80 |......@.|..|.'...|
|00001080| 14 ae 47 e1 7a b4 3f 02 | 00 00 00                |..G.z.?.|...     |
+--------+-------------------------+-------------------------+--------+--------+