TIInterActive FilexjCirkeltangenter - generel formel Lad der vre givet en cirkel med centrum (a,b) og radius r  og lad P(c,d) vre et punkt p cirklen. Nu har cirkeltangenten i P ligningen  som kan huskes p, at punktets koordinater indsttes i hver anden faktor. Hvorfor ? - vi skal frst se, at punktet P(c,d) ligger p den pstede tangent  men P antages at ligge p cirklen  og derfor ligger P ogs p den pstede tangent. Vi skal dernst se, at den pstede tangent er vinkelret p radius fra centrum til rringspunkt Hldningen for radius fra centrum til rringspunkt er  Hldningen for den pstede tangent findes ved at isolere y    og den pstede tangent er derfor vinkelret p radius fra centrum til rringspunktet. Den pstede tangent er derfor tangent. Eksempel: Cirklen med ligning  gr igennem punktet P(6,2), fordi  Tangenten i P har nu ligningen t    P!PP)P* P3PPPPPPiPTimes New RomanTimes New RomanTimes New RomanTimes New Roman!""#]^_`HIJKlmno6789tuvwxyz{FGIJhikd p@ P !$`'d p@ P !$`' @dd! w4J0J CTxobjItemIࡱ> !  #Root EntryZn@3P+ 3"@Contents?OlePres000e149b 64 64 1 1 1 0 ffff0007 b0002 796c4743 74536870 b1656c79 ffffff 0 0 90000000 1 7010000 54000000 73656d69 77654e20 6d6f5220 6e61 0 0 0 0 ff00ff00 7800ffff 64000000 8000000 6e617453 64726164 0 1 80010006 ffffff88 0 0 0 190 1000000 7 626d7953 6c6f 0 0 0 0 0 0 ff0000 ffffff 78 64 64745309 626d7953 16c6f 10000 0 8001 0 0 0 2bc0000 0 70100 79530000 6c6f626d 0 0 0 0 0 0 0 ffff00ff 7800ff 640000 530d0000 79536474 6c6f626d 646c6f42 1 1 80010000 ffffff88 0 0 0 190 1000001 7 656d6954 654e2073 6f522077 6e616d 0 0 0 0 ff0000 ffffff 78 64 64745309 6c617449 16369 10000 0 8001 0 0 0 2bc0000 10000 70100 69540000 2073656d 2077654e 616d6f52 6e 0 0 0 0 ffff00ff 7800ff 640000 530d0000 74496474 63696c61 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2e 69 53 0 ffff 10000 0 10000 2e800b 690000 530000 0 ffff0000 0 1 0 80270002 2d 69 53 0 ffff 10000 0 10000 2d800b 690000 530000 0 ffff0000 0 1 0 80190001 2d 69 53 0 1ffff 10000 0 320000 0 0 1c00 1d000000 180 6900 ffffff00 ff 1ffff00 1000000 0 0 0 0 1f001c00 80 0 0 0 1000100 0 0 29000000 801d 0 0 0 ffff0000 1 0 0 0 0 1c0000 0 c700c0 c1 0 1801d b10000 ffff0000 ffff ffff0000 1 1 0 0 0 1c0000 47 47 47 47 0 781 ed ffffffff ffffffff 1ffff 10000 0 0 0 10000 0 30000 43050000 5453454d 80000002 203d02 0(33 10001 0 0 0 0 13601 0 10000 0 0 0 0 0d@@cirkel | x=c and y=dTimes New Roman =(a)^(2) - 2*a*c + (b)^(2) - 2*b*d + (c)^(2) + (d)^(2)=(r)^(2)Times New Roman = = | x=c and y=dTimes New Roman =(a)^(2) - 2*a*c + (b)^(2) - 2*b*d + (c)^(2) + (d)^(2)=(r)^(2)Times New Roman = PNANIP@dde;*7* CTxobjItem *ࡱ>  Root EntryZn@3". 3@ContentsOlePres000rbeb 64 64 1 1 1 0 ffff0007 b0002 796c4743 74536870 88656c79 ffffff 0 0 90000000 1 7010000 54000000 73656d69 77654e20 6d6f5220 6e61 0 0 0 0 ff00ff00 7800ffff 64000000 8000000 6e617453 64726164 0 1 80010006 ffffff88 0 0 0 190 1000000 7 626d7953 6c6f 0 0 0 0 0 0 ff0000 ffffff 78 64 64745309 626d7953 16c6f 10000 0 8001 0 0 0 2bc0000 0 70100 79530000 6c6f626d 0 0 0 0 0 0 0 ffff00ff 7800ff 640000 530d0000 79536474 6c6f626d 646c6f42 1 1 80010000 ffffff88 0 0 0 190 1000001 7 656d6954 654e2073 6f522077 6e616d 0 0 0 0 ff0000 ffffff 78 64 64745309 6c617449 16369 10000 0 8001 0 0 0 2bc0000 10000 70100 69540000 2073656d 2077654e 616d6f52 6e 0 0 0 0 ffff00ff 7800ff 640000 530d0000 74496474 63696c61 646c6f42 1 1 80010000 0 0 0 0 190 1000000 7 4d204954 687461 0 0 0 0 0 0 ff0000 ffffff 78 64 64745305 14954 10000 0 8001 0 0 0 2bc0000 0 70100 49540000 74614d20 68 0 0 0 0 0 0 ffff00ff 7800ff 640000 53090000 49546474 646c6f42 1 1 30000 50004 70006 2290008 13c0000 bc0000 0 0 0 1 0 1ffff 4743000a 6870796c 4854414d 229 13c bc 0 ffff 10000 0 10000 1ffff 4743000a 6870796c 574f524d 229 13c bc 0 ffff 10000 0 40000 1ffff 47430008 6870796c 78494d 8f0000 710000 0 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