X1538

ORTHOJOIN OF X45

< 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) { 119, 517 }: Central Line L(119, 517) { 11, 971 }: Central Line L(11, 971) { 4, 1385 }: Central Line L(4, 1385) { 495, 946 }: Central Line L(495, 946) { 515, 1387 }: Central Line L(515, 1387) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_119 = FEUERBACH ANTIPODE (0.3776, 0.4312) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_971 = INTERSECTION OF LINES X(3)X(9) AND X(4)X(7) (0.6441, 0.7770) X_4 = ORTHOCENTER (0.6122, 0.3958) X_1385 = MIDPOINT OF INCENTER AND CIRCUMCENTER (0.5357, 0.1677) X_495 = JOHNSON MIDPOINT (0.5666, 0.2382) X_946 = MIDPOINT OF X(1) AND X(4) (0.5918, 0.3145) X_515 = ISOGONAL CONJUGATE OF X(102) (0.6804, 0.7691) X_1387 = MIDPOINT OF INCENTER AND FEUERBACH POINT (0.6531, 0.1500) X_1538 = ORTHOJOIN OF X(45) (1.0204, 1.6122) A B C X119 X517 X11 X971 X4 X1385 X495 X946 X515 X1387 X1538 (a, b, c) = (5, 6, 7) | AB = 1

X1538 (ORTHOJOIN OF X45) 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): \(-9.828642494802\)
▸ Incident Central Lines5 lines

{4, 1385}, {11, 971}, {119, 517}, {495, 946}, {515, 1387}