X2631

SUM OF PU(75)

X2631 = crosssum of X1 and X2631
< 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) { 162, 163 }: Central Line L(162, 163) { 44, 513 }: Central Line L(44, 513) { 2632, 2634 }: Central Line L(2632, 2634) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_162 = CEVAPOINT OF X(108) AND X(109) (0.4897, 0.6018) X_163 = TRILINEAR PRODUCT X(6)*X(110) (0.3174, 0.5883) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_2632 = DIFFERENCE OF PU(75) (0.6212, 0.0090) X_2634 = MIDPOINT OF PU(75) (0.5599, -0.0058) X_2631 = SUM OF PU(75) (4.3396, 0.9038) A B C X162 X163 X44 X513 X2632 X2634 X2631 (a, b, c) = (5, 6, 7) | AB = 1

X2631 (SUM OF PU(75)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/(\tan C - \tan A) + 1/(\tan B - \tan A) : :\)
Search Value (6, 9, 13): \(-26.900428484056\)
▸ Alternate Coordinates1 form

  • Trilinears: \((\tan B - \tan C) (\tan B + \tan C - 2 \tan A) : :\)

▸ Incident Central Lines3 lines

{44, 513}, {162, 163}, {2632, 2634}

▸ Functional Relations4 relations