X1537

ORTHOJOIN OF X44

X1537 = orthopole of PU(55)
< 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) { 11, 65 }: Central Line L(11, 65) { 7, 104 }: Central Line L(7, 104) { 4, 145 }: Central Line L(4, 145) { 119, 517 }: Central Line L(119, 517) { 214, 516 }: Central Line L(214, 516) { 100, 962 }: Central Line L(100, 962) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_7 = GERGONNE POINT (0.5903, 0.2769) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_4 = ORTHOCENTER (0.6122, 0.3958) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_119 = FEUERBACH ANTIPODE (0.3776, 0.4312) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_214 = -CEVA CONJUGATE OF X(44) (0.3571, 0.3499) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_962 = LONGUET-HIGGINS POINT (0.7551, 0.6582) X_1537 = ORTHOJOIN OF X(44) (0.4490, 0.5624) A B C X11 X65 X7 X104 X4 X145 X119 X517 X214 X516 X100 X962 X1537 (a, b, c) = (5, 6, 7) | AB = 1

X1537 (ORTHOJOIN OF X44) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) (see note above X1512)
Search Value (6, 9, 13): \(-6.629446022715\)
▸ Incident Central Lines7 lines

{4, 145}, {7, 104}, {11, 65}, {100, 962}, {119, 517}, {214, 516}, {515, 1317}

▸ Functional Relations2 relations