← etc / Encyclopedia of Triangle Centers X1601–X1661 · TCC-Perspectors & Tripolar Centroids / X_1606 ← Prev Overview · Code Next → X1606¶ TCC-PERSPECTOR OF X14 X1606 is the tcc-perspector of X14. 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) { 3, 619 }: Central Line L(3, 619) { 26, 1608 }: Central Line L(26, 1608) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_619 = COMPLEMENT OF X(14) (0.3494, 0.3571) X_26 = CIRCUMCENTER OF THE TANGENTIAL TRIANGLE (0.1382, -0.8447) X_1608 = TCC-PERSPECTOR OF X(18) (0.3143, -0.7663) X_1606 = TCC-PERSPECTOR OF X(14) (0.8673, -0.5199) A B C X3 X619 X26 X1608 X1606 (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) { 3, 619 }: Central Line L(3, 619) { 26, 1608 }: Central Line L(26, 1608) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6400, 0.4800) X_3 = CIRCUMCENTER (0.5000, 0.0000) X_619 = COMPLEMENT OF X(14) (0.3850, 0.3172) X_26 = CIRCUMCENTER OF THE TANGENTIAL TRIANGLE (0.7077, 0.7120) X_1608 = TCC-PERSPECTOR OF X(18) (0.0849, -3.9914) X_1606 = TCC-PERSPECTOR OF X(14) (0.9151, -1.1447) A B C X3 X619 X26 X1608 X1606 (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) { 3, 619 }: Central Line L(3, 619) { 26, 1608 }: Central Line L(26, 1608) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6180, 0.4859) X_3 = CIRCUMCENTER (0.5000, 0.0000) X_619 = COMPLEMENT OF X(14) (0.3955, 0.3365) X_26 = CIRCUMCENTER OF THE TANGENTIAL TRIANGLE (0.6751, 0.7207) X_1608 = TCC-PERSPECTOR OF X(18) (0.1275, -4.2660) X_1606 = TCC-PERSPECTOR OF X(14) (0.8725, -1.1996) A B C X3 X619 X26 X1608 X1606 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) { 3, 619 }: Central Line L(3, 619) { 26, 1608 }: Central Line L(26, 1608) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6331, 0.2801) X_3 = CIRCUMCENTER (0.5000, -0.2747) X_619 = COMPLEMENT OF X(14) (0.4418, 0.2560) X_26 = CIRCUMCENTER OF THE TANGENTIAL TRIANGLE (0.5951, 0.5139) X_1608 = TCC-PERSPECTOR OF X(18) (0.5017, 0.9275) X_1606 = TCC-PERSPECTOR OF X(14) (0.2424, 2.0756) A B C X3 X619 X26 X1608 X1606 Kimberling (6, 9, 13) | AB = 1 X1606 (TCC-PERSPECTOR OF X14) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶ Constructed Elements Central Lines: {3, 619}, {26, 1608} Related Centers: X3 (CIRCUMCENTER), X619 (COMPLEMENT OF X14), X26 (CIRCUMCENTER OF THE TANGENTIAL TRIANGLE), X1608 (TCC-PERSPECTOR OF X18) Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) (see note above X1601) Search Value (6, 9, 13): \(-15.471876863691\) ▸ Incident Central Lines2 lines {3, 619}, {26, 1608} ▸ Functional Relations1 relation X1606 = circumcircle-inverse of X33501
