X775

ISOGONAL CONJUGATE OF X774

X775 is the isogonal conjugate of X774.
< 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) { 158, 255 }: Central Line L(158, 255) { 225, 412 }: Central Line L(225, 412) { 10, 801 }: Central Line L(10, 801) { 31, 1097 }: Central Line L(31, 1097) { 662, 820 }: Central Line L(662, 820) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_255 = ISOGONAL CONJUGATE OF X(158) (0.4217, 0.0365) X_158 = -CROSS CONJUGATE OF X(92) (0.6215, 0.5117) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_412 = EULER X(29)-2nd-SUBSTITUTION POINT (0.6482, 0.4899) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_801 = ISOGONAL CONJUGATE OF X(800) (0.4263, 0.1232) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_1097 = TRILINEAR SQUARE OF X(20) (0.3653, 0.0487) X_662 = TRILINEAR POLE OF LINE X(1)X(21) (0.1811, 0.4951) X_820 = CROSSPOINT OF X(1) AND X(255) (0.5413, 0.0659) X_775 = ISOGONAL CONJUGATE OF X(774) (0.4699, 0.1510) A B C X1 X255 X158 X225 X412 X10 X801 X31 X1097 X662 X820 X775 (a, b, c) = (5, 6, 7) | AB = 1

X775 (ISOGONAL CONJUGATE OF X774) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(A,B,C) : f(B,C,A) : f(C,A,B)\), where \(f(A,B,C) = 1/[\cos^{2} B + \cos^{2} C]\)
Barycentrics: \(g(A,B,C) : g(B,C,A) : g(C,A,B)\), where \(g(A,B,C) = (\sin A)f(A,B,C)\)
Search Value (6, 9, 13): \(2.261958826953\)
▸ Incident Central Lines5 lines

{10, 801}, {31, 1097}, {158, 255}, {225, 412}, {662, 820}

▸ Functional Relations2 relations