X1610

TCC-PERSPECTOR OF X21

X1610 is the tcc-perspector of X21.
< 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, 19 }: Central Line L(1, 19) { 8, 197 }: Central Line L(8, 197) { 6, 959 }: Central Line L(6, 959) { 24, 944 }: Central Line L(24, 944) { 172, 910 }: Central Line L(172, 910) { 198, 958 }: Central Line L(198, 958) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_19 = CLAWSON POINT (0.6246, 0.4244) X_8 = NAGEL POINT (0.4694, 0.1333) X_197 = -CEVA CONJUGATE OF X(6) (0.4333, -0.1633) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_959 = ISOGONAL CONJUGATE OF X(958) (0.6111, 0.3031) X_24 = PERSPECTOR OF ABC AND ORTHIC-OF-ORTHIC TRIANGLE (0.6627, 0.5278) X_944 = HOFSTADTER TRAPEZOID POINT (0.5306, 0.0708) X_172 = TRILINEAR PRODUCT X(6)*X(171) (0.6080, 0.2866) X_910 = CROSSPOINT OF X(57) AND X(105) (1.3163, 2.5495) X_198 = -CEVA CONJUGATE OF X(6) (0.4741, -0.0381) X_958 = INTERSECTION OF LINES X(1)X(6) AND X(2)X(12) (0.5166, 0.1682) X_1610 = TCC-PERSPECTOR OF X(21) (0.4119, -0.3400) A B C X1 X19 X8 X197 X6 X959 X24 X944 X172 X910 X198 X958 X1610 (a, b, c) = (5, 6, 7) | AB = 1

X1610 (TCC-PERSPECTOR OF X21) 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): \(-6.230463774866\)
▸ Incident Central Lines8 lines

{1, 19}, {6, 959}, {8, 197}, {20, 1633}, {24, 944}, {172, 910}, {198, 958}, {315, 1310}