X3820

X200com(4th EULER 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) { 5, 10 }: Central Line L(5, 10) { 12, 57 }: Central Line L(12, 57) { 9, 119 }: Central Line L(9, 119) { 116, 121 }: Central Line L(116, 121) { 2, 495 }: Central Line L(2, 495) { 8, 496 }: Central Line L(8, 496) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_9 = MITTENPUNKT (0.5110, 0.1615) X_119 = FEUERBACH ANTIPODE (0.3776, 0.4312) X_116 = MIDPOINT OF X(4) AND X(103) (0.6990, 0.0375) X_121 = -OF-MEDIAL-TRIANGLE (0.3061, 0.2999) X_2 = CENTROID (0.5374, 0.2000) X_495 = JOHNSON MIDPOINT (0.5666, 0.2382) X_8 = NAGEL POINT (0.4694, 0.1333) X_496 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(495) (0.5843, 0.2201) X_3820 = com(4th EULER TRIANGLE) (0.5098, 0.1639) A B C X5 X10 X12 X57 X9 X119 X116 X121 X2 X495 X8 X496 X3820 (a, b, c) = (5, 6, 7) | AB = 1

X3820 (X200com(4th EULER TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(Barycentrics (b^{2}+c^{2}) a^{2}-4 (b+c) b c a-(b^{2}-c^{2})^{2} : :\)
Search Value (6, 9, 13): \(3.426362238489\)
▸ Incident Central Lines21 lines

{2, 495}, {3, 1603}, {5, 10}, {8, 496}, {9, 119}, {11, 3679}, {12, 57}, {30, 1376}, {116, 121}, {140, 958}, {210, 1737}, {329, 442}, {355, 936}, {381, 2550}, {474, 3436}, {549, 993}, {908, 3753}, {952, 997}, {1484, 3036}, {1596, 1861}, {2885, 3454}