X1634

TCC-PERSPECTOR OF X662

X1634 is the tcc-perspector of X662.
< 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) { 3, 67 }: Central Line L(3, 67) { 69, 160 }: Central Line L(69, 160) { 110, 351 }: Central Line L(110, 351) { 6, 694 }: Central Line L(6, 694) { 237, 524 }: Central Line L(237, 524) { 99, 670 }: Central Line L(99, 670) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_67 = ISOGONAL CONJUGATE OF X(23) (0.7606, -0.2152) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_160 = -OF-TANGENTIAL-TRIANGLE (0.4841, -0.0647) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_351 = CENTER OF THE PARRY CIRCLE (1.3537, 1.1619) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_694 = ISOGONAL CONJUGATE OF X(385) (1.0179, 0.0378) X_237 = -LINE CONJUGATE OF X(2) (0.9894, 1.3825) X_524 = ISOGONAL CONJUGATE OF X(111) (0.1376, -0.2297) X_99 = STEINER POINT (0.1109, 0.4322) X_670 = TRILINEAR POLE OF LINE X(2)X(39) (-0.0057, 0.2948) X_1634 = TCC-PERSPECTOR OF X(662) (0.1708, 0.5028) A B C X3 X67 X69 X160 X110 X351 X6 X694 X237 X524 X99 X670 X1634 (a, b, c) = (5, 6, 7) | AB = 1

X1634 (TCC-PERSPECTOR OF X662) 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 \(f(a,b,c) = a(b^{2} + c^{2})/(b^{2} - c^{2})\) (M. Iliev, 5/13/07)
Search Value (6, 9, 13): \(1.935444907020\)
▸ Incident Central Lines9 lines

{3, 67}, {6, 694}, {69, 160}, {99, 670}, {110, 351}, {112, 907}, {237, 524}, {660, 765}, {1306, 1307}

▸ Functional Relations8 relations