X2932

TANGENTIAL-ISOGONAL CONJUGATE OF X36

X2932 is the tangential-isogonal conjugate of X36.
< 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) { 149, 496 }: Central Line L(149, 496) { 3, 8 }: Central Line L(3, 8) { 55, 215 }: Central Line L(55, 215) { 35, 392 }: Central Line L(35, 392) { 11, 474 }: Central Line L(11, 474) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_149 = REFLECTION OF X(20) IN X(104) (1.3265, -0.3333) X_496 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(495) (0.5843, 0.2201) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_8 = NAGEL POINT (0.4694, 0.1333) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_215 = -CEVA CONJUGATE OF X(50) (0.4113, 0.3887) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_392 = X(1,6)∩X(10,11) (0.5265, 0.1800) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_474 = EULER LINE INTERCEPT OF LINE X(10)X(56) (0.5441, 0.2176) X_2932 = TANGENTIAL-ISOGONAL CONJUGATE OF X(36) (-0.1579, 0.7735) A B C X149 X496 X3 X8 X55 X215 X35 X392 X11 X474 X2932 (a, b, c) = (5, 6, 7) | AB = 1

X2932 (TANGENTIAL-ISOGONAL CONJUGATE OF X36) 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): \(1.367732294615\)
▸ Incident Central Lines15 lines

{3, 8}, {9, 1030}, {11, 474}, {35, 392}, {55, 215}, {56, 2802}, {72, 1768}, {78, 2771}, {80, 1376}, {119, 1012}, {149, 404}, {480, 2801}, {999, 1320}, {1317, 1470}, {2077, 2950}

▸ Functional Relations3 relations