X3914

X31com(ORTHIC TRIANGLE)

X3914 = complement of X32929
< 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) { 1, 224 }: Central Line L(1, 224) { 42, 226 }: Central Line L(42, 226) { 65, 225 }: Central Line L(65, 225) { 10, 321 }: Central Line L(10, 321) { 75, 305 }: Central Line L(75, 305) { 31, 516 }: Central Line L(31, 516) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_224 = -CEVA CONJUGATE OF X(63) (1.2479, 0.4419) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_226 = -CEVA CONJUGATE OF X(65) (0.5778, 0.2588) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_305 = ISOTOMIC CONJUGATE OF X(25) (0.3258, 0.0397) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_3914 = com[ORTHIC TRIANGLE))] (0.5970, 0.2412) A B C X1 X224 X42 X226 X65 X225 X10 X321 X75 X305 X31 X516 X3914 (a, b, c) = (5, 6, 7) | AB = 1

X3914 (X31com(ORTHIC TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \((b + c)(a^{2} + b^{2} + c^{2} - 2bc) : :\)
Search Value (6, 9, 13): \(1.436027004427\)
▸ Incident Central Lines48 lines

{1, 224}, {2, 968}, {4, 1039}, {6, 1836}, {10, 321}, {11, 3752}, {31, 516}, {38, 3663}, {42, 226}, {43, 908}, {46, 1076}, {55, 3011}, {58, 1770}, {63, 1711}, {65, 225}, {75, 305}, {141, 3706}, {142, 3720}, {228, 1284}, {278, 2263}, {306, 740}, {307, 3778}, {354, 1086}, {387, 1838}, {497, 614}, {517, 1072}, {518, 3782}, {528, 3744}, {536, 3703}, {612, 2550}, {748, 3008}, {774, 1210}, {851, 1402}, {899, 3452}, {942, 1070}, {946, 1193}, {1211, 3696}, {1279, 3058}, {1699, 2999}, {1722, 2478}, {1837, 1853}, {1842, 3556}, {1851, 2082}, {2006, 3256}, {2092, 3136}, {2650, 3671}, {2886, 3666}, {3210, 3705}

▸ Functional Relations1 relation

  • X3914 = complement of X32929