X1612

TCC-PERSPECTOR OF X28

X1612 is the tcc-perspector of X28.
< 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, 21 }: Central Line L(1, 21) { 55, 387 }: Central Line L(55, 387) { 6, 943 }: Central Line L(6, 943) { 1006, 1104 }: Central Line L(1006, 1104) { 681, 1924 }: Central Line L(681, 1924) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_765 = CEVAPOINT OF X(1) AND X(100) (0.4286, 0.3110) X_1 = INCENTER (0.5714, 0.2333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_387 = INTERSECTION OF LINES X(1,2) AND X(4,6) (0.5994, 0.2607) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_943 = ISOGONAL CONJUGATE OF X(942) (0.5528, 0.2043) X_1006 = INTERCEPT OF EULER LINE AND LINEX(9)X(48) (0.5190, 0.1517) X_1104 = CROSSPOINT OF X(1) AND X(28) (0.6311, 0.3042) X_681 = TRILINEAR POLE OF LINE X(6)X(158) (0.5783, 0.6063) X_1924 = BICENTRIC DIFFERENCE OF PU(13) (-1.8888, 2.8526) X_1612 = TCC-PERSPECTOR OF X(28) (0.7985, 0.5318) A B C X107 X765 X1 X21 X55 X387 X6 X943 X1006 X1104 X681 X1924 X1612 (a, b, c) = (5, 6, 7) | AB = 1

X1612 (TCC-PERSPECTOR OF X28) 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): \(-0.315241912077\)
▸ Incident Central Lines5 lines

{1, 21}, {6, 943}, {55, 387}, {681, 1924}, {1006, 1104}

▸ Functional Relations2 relations