X2900

ORTHIC-ISOGONAL CONJUGATE OF X9

X2900 is the orthic-isogonal conjugate of X9.
< 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) { 9, 55 }: Central Line L(9, 55) { 1, 442 }: Central Line L(1, 442) { 78, 950 }: Central Line L(78, 950) { 57, 1004 }: Central Line L(57, 1004) { 100, 1708 }: Central Line L(100, 1708) { 517, 1490 }: Central Line L(517, 1490) 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_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_1 = INCENTER (0.5714, 0.2333) X_442 = COMPLEMENT OF SCHIFFLER POINT (0.5418, 0.2114) X_78 = ISOGONAL CONJUGATE OF X(34) (0.3835, 0.0491) X_950 = CROSSPOINT OF X(8) AND X(29) (0.5621, 0.1961) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_1004 = INTERCEPT OF EULER LINE AND LINE X(7)X(100) (0.5701, 0.2854) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_1708 = MIMOSA TRANSFORM OF X(7) (0.7332, 0.4848) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_1490 = ∩X(3)X(9) (0.3929, -0.4775) X_2900 = ORTHIC-ISOGONAL CONJUGATE OF X(9) (0.9198, 0.4906) A B C X4 X9 X55 X1 X442 X78 X950 X57 X1004 X100 X1708 X517 X1490 X2900 (a, b, c) = (5, 6, 7) | AB = 1

X2900 (ORTHIC-ISOGONAL CONJUGATE OF X9) 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) is as described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-14.736666485234\)
▸ Incident Central Lines7 lines

{1, 442}, {9, 55}, {57, 1004}, {78, 950}, {100, 1708}, {517, 1490}, {528, 1750}

▸ Functional Relations1 relation