X2295

X2-ISOCONJUGATE OF X1178

X2295 = complement of X17152
< 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, 8 }: Central Line L(6, 8) { 1, 39 }: Central Line L(1, 39) { 37, 65 }: Central Line L(37, 65) { 10, 213 }: Central Line L(10, 213) { 171, 172 }: Central Line L(171, 172) { 2, 1258 }: Central Line L(2, 1258) 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_8 = NAGEL POINT (0.4694, 0.1333) X_1 = INCENTER (0.5714, 0.2333) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_171 = {X(2), X(31)}-HARMONIC CONJUGATE OF X(238) (0.5819, 0.2525) X_172 = TRILINEAR PRODUCT X(6)*X(171) (0.6080, 0.2866) X_2 = CENTROID (0.5374, 0.2000) X_1258 = ISOGONAL CONJUGATE OF X(1107) (0.5907, 0.2599) X_2295 = -ISOCONJUGATE OF X(1178) (0.5682, 0.2347) A B C X6 X8 X1 X39 X37 X65 X10 X213 X171 X172 X2 X1258 X2295 (a, b, c) = (5, 6, 7) | AB = 1

X2295 (X2-ISOCONJUGATE OF X1178) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((a^{2} + b c) (b + c) : :\)
Search Value (6, 9, 13): \(1.753144012318\)
▸ Incident Central Lines13 lines

{1, 39}, {2, 1258}, {6, 8}, {10, 213}, {37, 65}, {42, 2229}, {171, 172}, {190, 1655}, {345, 940}, {672, 1107}, {732, 894}, {1016, 1509}, {1193, 1575}

▸ Functional Relations4 relations