X3706

X42com(EXTOUCH TRIANGLE)

X3706 = excentral-to-ABC barycentric image of X42
< 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) { 8, 210 }: Central Line L(8, 210) { 75, 354 }: Central Line L(75, 354) { 38, 536 }: Central Line L(38, 536) { 321, 518 }: Central Line L(321, 518) { 519, 1215 }: Central Line L(519, 1215) { 69, 1836 }: Central Line L(69, 1836) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_8 = NAGEL POINT (0.4694, 0.1333) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_354 = WEILL POINT (0.5823, 0.2533) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_536 = DIRECTION OF VECTOR AX + BX + CX, where X = X(37) (0.0840, -0.1727) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_1215 = ISOGONAL CONJUGATE OF X(1178) (0.5340, 0.2011) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_1836 = ZOSMA TRANSFORM OF X(33) (0.6066, 0.3254) X_3706 = com(EXTOUCH TRIANGLE) (0.4581, 0.1268) A B C X8 X210 X75 X354 X38 X536 X321 X518 X519 X1215 X69 X1836 X3706 (a, b, c) = (5, 6, 7) | AB = 1

X3706 (X42com(EXTOUCH TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(((b+c) a+2 b c) \cdot (-a+b+c) : :\)
Search Value (6, 9, 13): \(4.746480779536\)
▸ Incident Central Lines13 lines

{1, 2049}, {8, 210}, {38, 536}, {69, 1836}, {75, 354}, {306, 2886}, {321, 518}, {519, 1215}, {984, 3175}, {1043, 2646}, {1386, 3187}, {1456, 1943}, {3416, 3434}

▸ Functional Relations1 relation

  • X3706 = excentral-to-ABC barycentric image of X42