← etc / Encyclopedia of Triangle Centers X1601–X1661 · TCC-Perspectors & Tripolar Centroids / X_1607 ← Prev Overview · Code Next → X1607¶ TCC-PERSPECTOR OF X17 X1607 is the tcc-perspector of X17. 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, 1605 }: Central Line L(26, 1605) 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_1605 = TCC-PERSPECTOR OF X(13) (0.5477, 0.3253) X_1607 = TCC-PERSPECTOR OF X(17) (0.4809, 0.1344) A B C X3 X619 X26 X1605 X1607 (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, 1605 }: Central Line L(26, 1605) 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_1605 = TCC-PERSPECTOR OF X(13) (0.5382, 0.3675) X_1607 = TCC-PERSPECTOR OF X(17) (0.4618, 0.1054) A B C X3 X619 X26 X1605 X1607 (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, 1605 }: Central Line L(26, 1605) 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_1605 = TCC-PERSPECTOR OF X(13) (0.5320, 0.3671) X_1607 = TCC-PERSPECTOR OF X(17) (0.4680, 0.1032) A B C X3 X619 X26 X1605 X1607 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, 1605 }: Central Line L(26, 1605) 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_1605 = TCC-PERSPECTOR OF X(13) (0.5008, 0.3117) X_1607 = TCC-PERSPECTOR OF X(17) (0.4481, 0.1986) A B C X3 X619 X26 X1605 X1607 Kimberling (6, 9, 13) | AB = 1 X1607 (TCC-PERSPECTOR OF X17) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶ Constructed Elements Central Lines: {3, 619}, {26, 1605} Related Centers: X3 (CIRCUMCENTER), X619 (COMPLEMENT OF X14), X26 (CIRCUMCENTER OF THE TANGENTIAL TRIANGLE), X1605 (TCC-PERSPECTOR OF X13) Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) (see note above X1601) Search Value (6, 9, 13): \(2.301138194467\) ▸ Incident Central Lines2 lines {3, 619}, {26, 1605}
