← etc / Encyclopedia of Triangle Centers X1601–X1661 · TCC-Perspectors & Tripolar Centroids / X_1608 ← Prev Overview · Code Next → X1608¶ TCC-PERSPECTOR OF X18 X1608 is the tcc-perspector of X18. 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, 1606 }: Central Line L(26, 1606) 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_1606 = TCC-PERSPECTOR OF X(14) (0.8673, -0.5199) X_1608 = TCC-PERSPECTOR OF X(18) (0.3143, -0.7663) A B C X3 X618 X26 X1606 X1608 (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, 1606 }: Central Line L(26, 1606) 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_1606 = TCC-PERSPECTOR OF X(14) (0.9151, -1.1447) X_1608 = TCC-PERSPECTOR OF X(18) (0.0849, -3.9914) A B C X3 X618 X26 X1606 X1608 (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, 1606 }: Central Line L(26, 1606) 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_1606 = TCC-PERSPECTOR OF X(14) (0.8725, -1.1996) X_1608 = TCC-PERSPECTOR OF X(18) (0.1275, -4.2660) A B C X3 X618 X26 X1606 X1608 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, 1606 }: Central Line L(26, 1606) 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_1606 = TCC-PERSPECTOR OF X(14) (0.2424, 2.0756) X_1608 = TCC-PERSPECTOR OF X(18) (0.5017, 0.9275) A B C X3 X618 X26 X1606 X1608 Kimberling (6, 9, 13) | AB = 1 X1608 (TCC-PERSPECTOR OF X18) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶ Constructed Elements Central Lines: {3, 618}, {26, 1606} Related Centers: X3 (CIRCUMCENTER), X618 (COMPLEMENT OF X13), X26 (CIRCUMCENTER OF THE TANGENTIAL TRIANGLE), X1606 (TCC-PERSPECTOR OF X14) Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) (see note above X1601) Search Value (6, 9, 13): \(-5.653317747871\) ▸ Incident Central Lines2 lines {3, 618}, {26, 1606}
