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ÎÒÖ¤Ã÷²»ÁËEF ƽ·Ö DQ£¬ µ«ÊÇ¿ÉÒÔÖ¤Ã÷£¬ Èç¹ûQÊÇD¹ØÓÚEFµÄ¶Ô³Æµã£¬ ÄÇôAQ£¬ OI£¬ BCÈýÏß¹²µã¡£

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http://www.math.uoc.gr/~pamfilos ... ems/Trilinears.html

http://mathworld.wolfram.com/TrilinearCoordinates.html

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×¢Ò⣺µã £¨alpha,beta, gamma) ÔÚÖ±Ïß(a,b,c)ÉÏÖ¸ ÄÚ»ýa*alpha+b*beta+c*gamma=0.

ÉèrÊÇÄÚ½ÓÔ²°ë¾¶£¬ÄÇôD µãµÄ Absolute trilinear coordinate ÊÇ
(0, 2r*cos^2(C/2), 2r*Cos^2(B/2)),
ÉèDµã´¹Ö±EF ÓÚµãM£¬ ÄÇôMµãµÄ Absolute trilinear coordinate ÊÇ
£¨2r*cos(B/2)cos(C/2)cos((C-B)/2), 2r*cos(C/2)cos(A/2)sin(B/2), 2r*cos(B/2)cos(A/2)sin(C/2)  ),
ÓÉÓÚMÊÇDQÖе㣬Óɴ˵õ½QµãµÄAbsolute trilinear coordinate ÊÇ
£¨4r*cos(B/2)cos(C/2)cos((C-B)/2),2r*cos(C/2)sin((B-A)/2), 2r*cos(B/2)sin((C-A)/2)  )
Òò´Ë Ö±ÏßAQ=(0, cos(B/2)sin((C-A)/2), -cos(C/2)sin((B-A)/2) ).

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yangling2007

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