X1174

1st SARAGOSSA POINT OF X57

X1174 = cevapoint of X6 and X41
< 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) { 41, 57 }: Central Line L(41, 57) { 55, 218 }: Central Line L(55, 218) { 101, 354 }: Central Line L(101, 354) { 226, 673 }: Central Line L(226, 673) { 284, 672 }: Central Line L(284, 672) { 661, 1024 }: Central Line L(661, 1024) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_142 = COMPLEMENT OF X(9) (0.5506, 0.2192) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_218 = -CEVA CONJUGATE OF X(55) (0.6557, 0.3333) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_354 = WEILL POINT (0.5823, 0.2533) X_226 = -CEVA CONJUGATE OF X(65) (0.5778, 0.2588) X_673 = TRILINEAR POLE OF LINE X(1)X(514) (0.9471, -0.0769) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_672 = CROSSDIFFERENCE OF X(1) AND X(514) (1.9245, 2.2184) X_661 = CROSSDIFFERENCE OF X(1) AND X(21) (48.4286, -23.0952) X_1024 = INTERSECTION OF LINES X(6)X(513) ANDX(9)X(522) (1.0370, 0.0294) X_1174 = 1st SARAGOSSA POINT OF X(57) (0.5906, 0.2472) A B C X142 X41 X57 X55 X218 X101 X354 X226 X673 X284 X672 X661 X1024 X1174 (a, b, c) = (5, 6, 7) | AB = 1

X1174 (1st SARAGOSSA POINT OF X57) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) (see note above X1166)
Search Value (6, 9, 13): \(1.300152525824\)
▸ Incident Central Lines6 lines

{41, 57}, {55, 218}, {101, 354}, {226, 673}, {284, 672}, {661, 1024}

▸ Functional Relations6 relations