X2164

X2-ISOCONJUGATE OF X46

X2164 = X48-cross conjugate of X6
< 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) { 9, 35 }: Central Line L(9, 35) { 571, 607 }: Central Line L(571, 607) { 6, 1195 }: Central Line L(6, 1195) { 284, 1069 }: Central Line L(284, 1069) { 19, 1609 }: Central Line L(19, 1609) { 56, 2160 }: Central Line L(56, 2160) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_9 = MITTENPUNKT (0.5110, 0.1615) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_571 = ORTHOHARMONIC OF X(52) (0.7141, 0.4556) X_607 = ISOGONAL CONJUGATE OF X(348) (0.6187, 0.3865) X_1195 = 3rd SARAGOSSA POINT OF X(19) (0.6245, 0.2796) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_1069 = -CROSS CONJUGATE OF X(3) (0.0709, 0.0059) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1609 = TCC-PERSPECTOR OF X(19) (0.7601, 0.5316) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_2160 = -ISOCONJUGATE OF X(35) (0.6185, 0.3356) X_2164 = -ISOCONJUGATE OF X(46) (0.1231, 0.0273) A B C X48 X6 X9 X35 X571 X607 X1195 X284 X1069 X19 X1609 X56 X2160 X2164 (a, b, c) = (5, 6, 7) | AB = 1

X2164 (X2-ISOCONJUGATE OF X46) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X46
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(2.286330478008\)
▸ Incident Central Lines10 lines

{6, 1195}, {9, 35}, {19, 1609}, {55, 2174}, {56, 2160}, {198, 2161}, {284, 1069}, {571, 607}, {573, 2316}, {1630, 2291}

▸ Functional Relations4 relations