X364

WABASH CENTER (EQUAL AREAS ISOSCELIZER POINT)

If X = X364, the isoscelizer triangles T(X,a), T(X,b), T(X,c) have equal areas.
< 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, 365 }: Central Line L(1, 365) { 9, 366 }: Central Line L(9, 366) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_366 = ISOGONAL CONJUGATE OF X(365) (0.5551, 0.2165) X_1 = INCENTER (0.5714, 0.2333) X_365 = SQUARE ROOT POINT (0.5864, 0.2502) X_9 = MITTENPUNKT (0.5110, 0.1615) X_364 = WABASH CENTER (EQUAL AREAS ISOSCELIZER POINT) (0.5406, 0.1984) A B C X366 X1 X365 X9 X364 (a, b, c) = (5, 6, 7) | AB = 1

X364 (WABASH CENTER (EQUAL AREAS ISOSCELIZER POINT)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(b^{1/2} + c^{1/2} - a^{1/2} : :\)
Search Value (6, 9, 13): \(2.574517903557\)
▸ Incident Central Lines7 lines

{1, 365}, {9, 366}, {57, 40378}, {165, 4166}, {239, 40383}, {1743, 2068}, {20673, 20695}

▸ Functional Relations1 relation