X3698

X3522com(EXTOUCH TRIANGLE)

X3698 = excentral-to-ABC barycentric image of X3522
< 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) { 10, 12 }: Central Line L(10, 12) { 8, 354 }: Central Line L(8, 354) { 55, 1706 }: Central Line L(55, 1706) { 474, 1319 }: Central Line L(474, 1319) { 958, 1155 }: Central Line L(958, 1155) { 281, 1888 }: Central Line L(281, 1888) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_8 = NAGEL POINT (0.4694, 0.1333) X_354 = WEILL POINT (0.5823, 0.2533) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_1706 = EXSIMILICENTER(BEVAN CIRCLE, SPIEKER CIRCLE) (0.5323, 0.2107) X_474 = EULER LINE INTERCEPT OF LINE X(10)X(56) (0.5441, 0.2176) X_1319 = BEVAN-SCHRÖDER POINT (0.9524, 0.9331) X_958 = INTERSECTION OF LINES X(1)X(6) AND X(2)X(12) (0.5166, 0.1682) X_1155 = SCHRÖDER POINT (1.7143, 2.3328) X_281 = -CROSS CONJUGATE OF X(9) (0.5796, 0.3202) X_1888 = ZOSMA TRANSFORM OF X(950) (0.6136, 0.4122) X_3698 = com(EXTOUCH TRIANGLE) (0.5371, 0.2053) A B C X10 X12 X8 X354 X55 X1706 X474 X1319 X958 X1155 X281 X1888 X3698 (a, b, c) = (5, 6, 7) | AB = 1

X3698 (X3522com(EXTOUCH TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a(b + c)(a^{2} - b^{2} - c^{2} + 6bc)\)
Search Value (6, 9, 13): \(2.585064409905\)
▸ Linear Combinations1 combination
▸ Incident Central Lines15 lines

{2, 3057}, {8, 354}, {10, 12}, {55, 1706}, {281, 1888}, {374, 1828}, {474, 1319}, {517, 1656}, {518, 3617}, {936, 2099}, {958, 1155}, {1376, 2646}, {1836, 2551}, {1837, 2550}, {3555, 3626}

▸ Functional Relations1 relation

  • X3698 = excentral-to-ABC barycentric image of X3522