X3025

9th STEVANOVIC POINT

X3025 = X476-of-intouch-triangle
< 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) { 11, 513 }: Central Line L(11, 513) { 56, 953 }: Central Line L(56, 953) { 36, 1464 }: Central Line L(36, 1464) { 840, 901 }: Central Line L(840, 901) { 517, 1317 }: Central Line L(517, 1317) { 1319, 1361 }: Central Line L(1319, 1361) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_953 = ISOGONAL CONJUGATE OF X(952) (0.0000, 0.2041) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_1464 = -BETH CONJUGATE OF X(758) (0.8584, 0.9843) X_840 = ISOGONAL CONJUGATE OF X(528) (0.0800, 0.3919) X_901 = ISOGONAL CONJUGATE OF X(900) (1.0000, -0.0000) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_1317 = REFLECTION OF X(11) IN X(1) (0.4082, 0.3999) X_1319 = BEVAN-SCHRÖDER POINT (0.9524, 0.9331) X_1361 = BRISSE TRANSFORM OF X(104) (0.5091, 0.4581) X_3025 = 9th STEVANOVIC POINT (0.3429, 0.2799) A B C X11 X513 X56 X953 X36 X1464 X840 X901 X517 X1317 X1319 X1361 X3025 (a, b, c) = (5, 6, 7) | AB = 1

X3025 (9th STEVANOVIC POINT) 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 \(f(a,b,c) = a(b + c - a)(b - c)^{2}(b^{2} + c^{2} - a^{2} - bc)^{2}\)
Search Value (6, 9, 13): \(3.338603618713\)

X3025 lies on the incircle.

▸ Incident Central Lines6 lines

{11, 513}, {36, 1464}, {56, 953}, {517, 1317}, {840, 901}, {1319, 1361}

▸ Functional Relations2 relations