← etc / Encyclopedia of Triangle Centers X1601–X1661 · TCC-Perspectors & Tripolar Centroids / X_1603 ← Prev Overview · Code Next → X1603¶ TCC-PERSPECTOR OF X8 X1603 is the tcc-perspector of X8. 5, 6, 7 3, 4, 5 Kepler Kimberling < 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) { 8, 197 }: Central Line L(8, 197) { 24, 1324 }: Central Line L(24, 1324) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_8 = NAGEL POINT (0.4694, 0.1333) X_197 = -CEVA CONJUGATE OF X(6) (0.4333, -0.1633) X_24 = PERSPECTOR OF ABC AND ORTHIC-OF-ORTHIC TRIANGLE (0.6627, 0.5278) X_1324 = CIRCUMCIRCLE-INVERSE OF X(10) (1.2576, 3.1175) X_1603 = TCC-PERSPECTOR OF X(8) (0.3539, -0.8165) A B C X8 X197 X24 X1324 X1603 (a, b, c) = (5, 6, 7) | AB = 1 < 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) { 8, 197 }: Central Line L(8, 197) { 24, 1324 }: Central Line L(24, 1324) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6400, 0.4800) X_8 = NAGEL POINT (0.4400, 0.0800) X_197 = -CEVA CONJUGATE OF X(6) (0.4000, -0.7000) X_24 = PERSPECTOR OF ABC AND ORTHIC-OF-ORTHIC TRIANGLE (0.6400, 0.4800) X_1324 = CIRCUMCIRCLE-INVERSE OF X(10) (0.7500, 1.7500) X_1603 = TCC-PERSPECTOR OF X(8) (0.2000, -4.6000) A B C X8 X197 X24 X1324 X1603 (a, b, c) = (3, 4, 5) | AB = 1 < 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) { 8, 197 }: Central Line L(8, 197) { 24, 1324 }: Central Line L(24, 1324) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6180, 0.4859) X_8 = NAGEL POINT (0.4499, 0.0817) X_197 = -CEVA CONJUGATE OF X(6) (0.4159, -0.7021) X_24 = PERSPECTOR OF ABC AND ORTHIC-OF-ORTHIC TRIANGLE (0.6180, 0.4859) X_1324 = CIRCUMCIRCLE-INVERSE OF X(10) (0.7080, 1.7371) X_1603 = TCC-PERSPECTOR OF X(8) (0.2386, -4.7922) A B C X8 X197 X24 X1324 X1603 Kepler (1, √φ, φ) | AB = 1 < 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) { 8, 197 }: Central Line L(8, 197) { 24, 1324 }: Central Line L(24, 1324) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6331, 0.2801) X_8 = NAGEL POINT (0.4024, 0.0200) X_197 = -CEVA CONJUGATE OF X(6) (0.5376, 1.2068) X_24 = PERSPECTOR OF ABC AND ORTHIC-OF-ORTHIC TRIANGLE (0.5555, 0.1854) X_1324 = CIRCUMCIRCLE-INVERSE OF X(10) (0.5236, 0.6554) X_1603 = TCC-PERSPECTOR OF X(8) (0.5054, 0.9241) A B C X8 X197 X24 X1324 X1603 Kimberling (6, 9, 13) | AB = 1 X1603 (TCC-PERSPECTOR OF X8) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶ Constructed Elements Central Lines: {8, 197}, {24, 1324} Related Centers: X8 (NAGEL POINT), X197 (-CEVA CONJUGATE OF X6), X24 (PERSPECTOR OF ABC AND ORTHIC-OF-ORTHIC TRIANGLE), X1324 (CIRCUMCIRCLE-INVERSE OF X10) Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) (see note above X1601) Search Value (6, 9, 13): \(-5.647529856566\) ▸ Incident Central Lines2 lines {8, 197}, {24, 1324}
