X1512

ORTHOJOIN OF X1

X1512 = orthpole of antiorthic axis
< 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) { 4, 9 }: Orthocenter–Spieker Line { 6, 80 }: Central Line L(6, 80) { 5, 392 }: Central Line L(5, 392) { 119, 517 }: Central Line L(119, 517) { 355, 956 }: Central Line L(355, 956) { 944, 1210 }: Central Line L(944, 1210) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_9 = MITTENPUNKT (0.5110, 0.1615) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_80 = REFLECTION OF INCENTER IN FEUERBACH POINT (0.8980, -0.1000) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_392 = X(1,6)∩X(10,11) (0.5265, 0.1800) X_119 = FEUERBACH ANTIPODE (0.3776, 0.4312) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_355 = FUHRMANN CENTER (0.5408, 0.2645) X_956 = INTERSECTION OF LINES X(1)X(6) AND X(3)X(8) (0.4790, 0.1235) X_944 = HOFSTADTER TRAPEZOID POINT (0.5306, 0.0708) X_1210 = ISOGONAL CONJUGATE OF X(1167) (0.6144, 0.2754) X_1512 = ORTHOJOIN OF X(1) (1.5918, 2.6619) A B C X4 X9 X6 X80 X5 X392 X119 X517 X355 X956 X944 X1210 X1512 (a, b, c) = (5, 6, 7) | AB = 1

X1512 (ORTHOJOIN OF X1) 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): \(-13.027838966890\)
▸ Incident Central Lines6 lines

{4, 9}, {5, 392}, {6, 80}, {119, 517}, {355, 956}, {944, 1210}

▸ Functional Relations2 relations