← etc / Encyclopedia of Triangle Centers X1601–X1661 · TCC-Perspectors & Tripolar Centroids / X_1605 ← Prev Overview · Code Next → X1605¶ TCC-PERSPECTOR OF X13 X1605 is the tcc-perspector of X13. 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, 618 }: Central Line L(3, 618) { 26, 1607 }: Central Line L(26, 1607) 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_618 = COMPLEMENT OF X(13) (0.5122, 0.1590) X_26 = CIRCUMCENTER OF THE TANGENTIAL TRIANGLE (0.1382, -0.8447) X_1607 = TCC-PERSPECTOR OF X(17) (0.4809, 0.1344) X_1605 = TCC-PERSPECTOR OF X(13) (0.5477, 0.3253) A B C X3 X618 X26 X1607 X1605 (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, 618 }: Central Line L(3, 618) { 26, 1607 }: Central Line L(26, 1607) 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_618 = COMPLEMENT OF X(13) (0.5106, 0.1018) X_26 = CIRCUMCENTER OF THE TANGENTIAL TRIANGLE (0.7077, 0.7120) X_1607 = TCC-PERSPECTOR OF X(17) (0.4618, 0.1054) X_1605 = TCC-PERSPECTOR OF X(13) (0.5382, 0.3675) A B C X3 X618 X26 X1607 X1605 (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, 618 }: Central Line L(3, 618) { 26, 1607 }: Central Line L(26, 1607) 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_618 = COMPLEMENT OF X(13) (0.5090, 0.1030) X_26 = CIRCUMCENTER OF THE TANGENTIAL TRIANGLE (0.6751, 0.7207) X_1607 = TCC-PERSPECTOR OF X(17) (0.4680, 0.1032) X_1605 = TCC-PERSPECTOR OF X(13) (0.5320, 0.3671) A B C X3 X618 X26 X1607 X1605 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, 618 }: Central Line L(3, 618) { 26, 1607 }: Central Line L(26, 1607) 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_618 = COMPLEMENT OF X(13) (0.5004, 0.0034) X_26 = CIRCUMCENTER OF THE TANGENTIAL TRIANGLE (0.5951, 0.5139) X_1607 = TCC-PERSPECTOR OF X(17) (0.4481, 0.1986) X_1605 = TCC-PERSPECTOR OF X(13) (0.5008, 0.3117) A B C X3 X618 X26 X1607 X1605 Kimberling (6, 9, 13) | AB = 1 X1605 (TCC-PERSPECTOR OF X13) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶ Constructed Elements Central Lines: {3, 618}, {26, 1607} Related Centers: X3 (CIRCUMCENTER), X618 (COMPLEMENT OF X13), X26 (CIRCUMCENTER OF THE TANGENTIAL TRIANGLE), X1607 (TCC-PERSPECTOR OF X17) Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) (see note above X1601) Search Value (6, 9, 13): \(0.716940593366\) ▸ Incident Central Lines2 lines {3, 618}, {26, 1607} ▸ Functional Relations1 relation X1605 = circumcircle-inverse of X33499
