X1322

2nd YIU SQUARES PERSPECTOR

The construction of X1322 is like that of X1321, but using internally positioned squares. See the reference
< 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) { 4, 372 }: Central Line L(4, 372) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_372 = {X(3),X(6)}-HARMONIC CONJUGATE OF X(371) (0.7148, 0.4568) X_1322 = 2nd YIU SQUARES PERSPECTOR (0.0183, 0.0422) A B C X4 X372 X1322 (a, b, c) = (5, 6, 7) | AB = 1

X1322 (2nd YIU SQUARES PERSPECTOR) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(A,B,C) : f(B,C,A) : f(C,A,B)\), where \(f(A,B,C) = (2 \cos A - \sin A)/(\cos^{2} A - \cos A \sin A)\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(3.532290173848\)
▸ Incident Central Lines2 lines

{4, 372}, {1321, 2165}

Notes

at X1321.