X1626

TCC-PERSPECTOR OF X174

X1626 is the tcc-perspector of X174.
< 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) { 3, 10 }: Central Line L(3, 10) { 38, 55 }: Central Line L(38, 55) { 22, 1602 }: Central Line L(22, 1602) { 982, 1283 }: Central Line L(982, 1283) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_85 = ISOTOMIC CONJUGATE OF X(9) (0.5610, 0.2421) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_22 = EXETER POINT (0.4143, -0.1221) X_1602 = TCC-PERSPECTOR OF X(7) (0.5590, 0.3060) X_982 = INTERSECTION OF LINES X(1)X(3) AND X(2)X(38) (0.5508, 0.1955) X_1283 = 7th SHARYGIN POINT (0.7481, 0.0125) X_1626 = TCC-PERSPECTOR OF X(174) (0.5286, 0.2160) A B C X85 X6 X3 X10 X38 X55 X22 X1602 X982 X1283 X1626 (a, b, c) = (5, 6, 7) | AB = 1

X1626 (TCC-PERSPECTOR OF X174) 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 X1601)
Search Value (6, 9, 13): \(1.651185687249\)
▸ Incident Central Lines4 lines

{3, 10}, {22, 1602}, {38, 55}, {982, 1283}

▸ Functional Relations3 relations