X2607

CROSSDIFFERENCE OF PU(70)

X2607 = perspector of conic {{A, B, C,PU(71)}}
< 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) { 9, 46 }: Central Line L(9, 46) { 1, 523 }: Central Line L(1, 523) { 229, 409 }: Central Line L(229, 409) { 110, 1109 }: Central Line L(110, 1109) { 12, 2595 }: Central Line L(12, 2595) { 215, 2596 }: Central Line L(215, 2596) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_9 = MITTENPUNKT (0.5110, 0.1615) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_1 = INCENTER (0.5714, 0.2333) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_229 = -CEVA CONJUGATE OF X(81) (0.5961, 0.2991) X_409 = EULER X(21)-1st-SUBSTITUTION POINT (0.5419, 0.2117) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_1109 = TRILINEAR SQUARE OF X(523) (0.7246, 0.0705) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_2595 = CROSSSUM OF PU(68) (0.5650, 0.2411) X_215 = -CEVA CONJUGATE OF X(50) (0.4113, 0.3887) X_2596 = CROSSDIFFERENCE OF PU(68) (-2.5195, 3.3880) X_2607 = CROSSDIFFERENCE OF PU(70) (0.5584, 0.2383) A B C X2 X9 X46 X1 X523 X229 X409 X110 X1109 X12 X2595 X215 X2596 X2607 (a, b, c) = (5, 6, 7) | AB = 1

X2607 (CROSSDIFFERENCE OF PU(70)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(\sin(A - B) \sin(A - C) + \sin^{2}(B - C) : :\)
Barycentrics: \(a^{6} - a^{4} (b^{2} + c^{2}) + a^{2} b^{2} c^{2} + b c (b^{2} - c^{2})^{2} : :\)
Search Value (6, 9, 13): \(2.072857500693\)
▸ Incident Central Lines6 lines

{1, 523}, {9, 46}, {12, 2595}, {110, 1109}, {215, 2596}, {229, 409}

▸ Functional Relations4 relations