X2150

X2-ISOCONJUGATE OF X12

X2150 = X593-Ceva conjugate of X849
< 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, 163 }: Central Line L(6, 163) { 60, 283 }: Central Line L(60, 283) { 9, 1098 }: Central Line L(9, 1098) { 58, 1474 }: Central Line L(58, 1474) { 593, 1412 }: Central Line L(593, 1412) { 849, 1333 }: Central Line L(849, 1333) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_163 = TRILINEAR PRODUCT X(6)*X(110) (0.3174, 0.5883) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) X_283 = -CROSS CONJUGATE OF X(21) (0.4475, 0.0704) X_9 = MITTENPUNKT (0.5110, 0.1615) X_1098 = TRILINEAR SQUARE OF X(21) (0.4785, 0.1286) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_1474 = -BETH CONJUGATE OF X(1172) (0.6165, 0.3951) X_593 = 1st HATZIPOLAKIS-YIU POINT (0.6202, 0.3026) X_1412 = -BETH CONJUGATE OF X(81) (0.6374, 0.3603) X_849 = 4th HATZIPOLAKIS-YIU POINT (0.6376, 0.3351) X_1333 = POINT ALULA (0.6308, 0.3181) X_2150 = -ISOCONJUGATE OF X(12) (0.6072, 0.2591) A B C X6 X163 X60 X283 X9 X1098 X58 X1474 X593 X1412 X849 X1333 X2150 (a, b, c) = (5, 6, 7) | AB = 1

X2150 (X2-ISOCONJUGATE OF X12) 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 X12
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.201900043790\)
▸ Incident Central Lines8 lines

{6, 163}, {9, 1098}, {58, 1474}, {60, 283}, {593, 1412}, {759, 1953}, {849, 1333}, {2193, 2194}

▸ Functional Relations8 relations