X3988

X546com(EXTOUCH TRIANGLE)

< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 10, 12 }: Central Line L(10, 12) { 518, 3636 }: Central Line L(518, 3636) { 960, 3635 }: Central Line L(960, 3635) { 3632, 3681 }: Central Line L(3632, 3681) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_3636 = H-1(X(10); M, -2) (0.5587, 0.2208) X_960 = INTERSECTION OF LINES X(1)X(6) AND X(5)X(10) (0.5041, 0.1533) X_3635 = H-1(X(10); M, -1/2) (0.5969, 0.2583) X_3632 = H-1(X(8); M, 1/2) (0.3673, 0.0333) X_3681 = com(EXTOUCH TRIANGLE) (0.4476, 0.0933) X_3988 = com(EXTOUCH TRIANGLE) (0.4577, 0.1008) A B C X10 X12 X518 X3636 X960 X3635 X3632 X3681 X3988 (a, b, c) = (5, 6, 7) | AB = 1

X3988 (X546com(EXTOUCH TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a(b + c)(3b^{2} + 3c^{2} - 3a^{2} + bc)\)
Search Value (6, 9, 13): \(5.025778399379\)
▸ Incident Central Lines4 lines

{10, 12}, {518, 3636}, {960, 3635}, {3632, 3681}