X3836

X3685com(4th EULER TRIANGLE)

X3836 = complement of X238
< A B C >: Reference Triangle △ABC < M_a M_b M_c >: Medial Triangle △M_a M_b M_c [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 2, 238 }: Central Line L(2, 238) { 2, 31 }: Central Line L(2, 31) { 10, 141 }: Central Line L(10, 141) { 44, 1213 }: Central Line L(44, 1213) { 12, 1463 }: Central Line L(12, 1463) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) M_a = Midpoint M_a of BC (0.8061, 0.2999) M_b = Midpoint M_b of CA (0.3061, 0.2999) M_c = Midpoint M_c of AB (0.5000, 0.0000) X_2 = CENTROID (0.5374, 0.2000) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_1213 = ISOGONAL CONJUGATE OF X(1171) (0.5294, 0.1914) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_1463 = -BETH CONJUGATE OF X(726) (1.0830, 0.8620) X_3836 = com(4th EULER TRIANGLE) (-0.0034, -0.4388) A B C Ma Mb Mc X2 X238 X31 X10 X141 X44 X1213 X12 X1463 X3836 (a, b, c) = (5, 6, 7) | AB = 1

X3836 (X3685com(4th EULER TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(b^{3} + c^{3} - 2abc\)
Search Value (6, 9, 13): \(5.794255746382\)
▸ Incident Central Lines143 lines

{2, 31}, {5, 15310}, {8, 17232}, {9, 4655}, {10, 141}, {11, 4871}, {12, 1463}, {37, 3821}, {42, 18139}, {43, 18134}, {44, 1213}, {57, 4438}, {75, 3773}, {120, 17793}, {190, 17767}, {239, 17772}, {244, 3006}, {305, 18067}, {312, 17889}, {320, 1698}, {334, 1921}, {344, 24248}, {346, 7613}, {442, 3831}, {513, 3814}, {516, 4432}, {519, 4864}, {536, 6541}, {537, 3717}, {614, 4865}, {726, 1086}, {740, 1738}, {742, 25357}, {756, 17184}, {899, 3936}, {902, 24542}, {908, 4892}, {940, 25453}, {946, 21626}, {960, 25108}, {984, 3662}, {1001, 4660}, {1089, 1269}, {1125, 1279}, {1193, 17674}, {1215, 5249}, {1326, 25536}, {1329, 20258}, {1376, 3771}, {1386, 17356}, {1836, 4011}, {1961, 19786}, {2140, 12263}, {2886, 3840}, {3008, 4974}, {3011, 4434}, {3120, 4358}, {3123, 22220}, {3246, 19862}, {3290, 4071}, {3305, 4703}, {3416, 16825}, {3452, 4138}, {3663, 4078}, {3666, 24169}, {3670, 21035}, {3685, 17266}, {3696, 17231}, {3703, 24165}, {3705, 17063}, {3720, 4972}, {3726, 4119}, {3741, 3925}, {3751, 17298}, {3782, 3971}, {3814, 4129}, {3842, 4357}, {3909, 20962}, {3923, 5880}, {3944, 18743}, {3993, 17243}, {4009, 21093}, {4136, 20271}, {4167, 21951}, {4359, 15523}, {4362, 24789}, {4407, 17227}, {4417, 16569}, {4422, 17768}, {4431, 4535}, {4446, 24046}, {4527, 17233}, {4649, 17300}, {4663, 17376}, {4672, 17353}, {4676, 17341}, {4697, 5294}, {4698, 25354}, {4710, 18040}, {4716, 6542}, {4743, 17241}, {4980, 6535}, {5087, 11814}, {5205, 17719}, {5220, 7232}, {5248, 16299}, {5263, 17283}, {5268, 25527}, {5695, 17267}, {5852, 7238}, {5853, 17059}, {5988, 9478}, {6685, 17056}, {7295, 16048}, {7800, 25500}, {8287, 20546}, {9470, 20341}, {9780, 17238}, {12047, 25079}, {12782, 24190}, {15481, 17345}, {16415, 25440}, {16468, 17352}, {16830, 17291}, {17047, 24206}, {17237, 25352}, {17260, 24697}, {17263, 24723}, {17284, 24693}, {17289, 24342}, {17307, 19856}, {17357, 24295}, {17748, 20227}, {19557, 19559}, {19877, 20072}, {20337, 20339}, {20340, 20343}, {20432, 20703}, {20491, 20532}, {20530, 20531}, {20947, 24731}, {24176, 24180}, {24358, 24699}

▸ Functional Relations2 relations