X3709

X798com(EXTOUCH TRIANGLE)

X3709 = excentral-to-ABC barycentric image of X798
< 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) { 37, 523 }: Central Line L(37, 523) { 522, 650 }: Central Line L(522, 650) { 513, 665 }: Central Line L(513, 665) { 647, 661 }: Central Line L(647, 661) { 512, 798 }: Central Line L(512, 798) { 657, 663 }: Central Line L(657, 663) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_650 = CROSSDIFFERENCE OF X(1) AND X(3) (13.7143, -4.1991) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_665 = CROSSDIFFERENCE OF X(2) AND X(11) (1.4579, 1.0988) X_647 = CROSSDIFFERENCE OF X(2) AND X(3) (4.2063, -0.5653) X_661 = CROSSDIFFERENCE OF X(1) AND X(21) (48.4286, -23.0952) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_798 = CROSSDIFFERENCE OF X(1) AND X(75) (-13.4299, 10.5763) X_657 = CROSSDIFFERENCE OF X(1) AND X(7) (10.1538, -2.2611) X_663 = CROSSDIFFERENCE OF X(2) AND X(7) (8.6667, -3.2660) X_3709 = com(EXTOUCH TRIANGLE) (9.0280, -3.0218) A B C X37 X523 X522 X650 X513 X665 X647 X661 X512 X798 X657 X663 X3709 (a, b, c) = (5, 6, 7) | AB = 1

X3709 (X798com(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 \(f(a,b,c) = a^{2}(b + c - a)(b^{2} - c^{2})\)
Search Value (6, 9, 13): \(-9.558049724159\)
▸ Incident Central Lines13 lines

{6, 2605}, {9, 3287}, {37, 523}, {44, 2609}, {101, 2701}, {213, 3049}, {512, 798}, {513, 665}, {522, 650}, {647, 661}, {657, 663}, {667, 2484}, {1919, 1960}

▸ Functional Relations4 relations