X2214

X2-ISOCONJUGATE OF X386

X2214 = trilinear pole of line X661X667
< 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) { 6, 10 }: Central Line L(6, 10) { 31, 37 }: Central Line L(31, 37) { 75, 81 }: Central Line L(75, 81) { 65, 604 }: Central Line L(65, 604) { 225, 608 }: Central Line L(225, 608) { 534, 553 }: Central Line L(534, 553) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_2304 = -ISOCONJUGATE OF X(1246) (0.5541, 0.1711) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_604 = -CEVA CONJUGATE OF X(31) (0.6442, 0.3744) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_608 = ISOGONAL CONJUGATE OF X(345) (0.6361, 0.4975) X_534 = DIRECTION OF VECTOR AX + BX + CX, where X = X(19) (0.7500, 0.7470) X_553 = POINT MAIA II (0.5963, 0.2857) X_2214 = -ISOCONJUGATE OF X(386) (0.5816, 0.2478) A B C X31 X2304 X6 X10 X37 X75 X81 X65 X604 X225 X608 X534 X553 X2214 (a, b, c) = (5, 6, 7) | AB = 1

X2214 (X2-ISOCONJUGATE OF X386) 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 X386
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.407915203483\)
▸ Incident Central Lines14 lines

{1, 1333}, {6, 10}, {19, 2203}, {31, 37}, {65, 604}, {75, 81}, {225, 608}, {284, 994}, {534, 553}, {584, 2304}, {739, 835}, {940, 2221}, {1953, 2217}, {2218, 2294}

▸ Functional Relations2 relations