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CTC Cubics & Related curves through various special points.

Last update: 2016/02/28.

753 cubics sampled.

Knnn & Qnnn through ALL 6 equilateral cevian points (Table 10)
K001, K143A, K143B, K143C, K144, K265, K266, Q033, Q034, Q035A, Q035B, Q035C, Q036A, Q036B, Q036C, Q074, Q099, Q100, Q105, Q111
Knnn & Qnnn through the 3 real equilateral cevian points only (Table 10's blue points)
K264a, K341a, K419a
Knnn & Qnnn through the 3 remaining equilateral cevian points only (Table 10's red points)
K264b, K341b, K419b
Knnn & Qnnn through ALL 6 equilateral anticevian points (Table 14)
K277, K278, Q040, Q042
Knnn & Qnnn through the 3 real equilateral anticevian points only (Table 14's blue group)
K129b, K261b
Knnn & Qnnn through the 3 remaining equilateral anticevian points only (Table 14's red group)
K129a, K261a
Knnn & Qnnn through ALL 6 equilateral circumanticevian points (Table 40)
K390, K752, Q043
Knnn & Qnnn through the 3 real equilateral circumanticevian points only (Table 40)
K129b, K261a
Knnn & Qnnn through the 3 remaining equilateral circumanticevian points only (Table 40)
K129a, K261b
Knnn & Qnnn through the Ix-anticevian points (Table 23)
K005, K049, K060, K116, K121, K122, K123, K124, K125, K126, K127, Q003, Q025, Q056, Q057, Q060, Q075
Knnn & Qnnn through the isogonal conjugate of the Ix-anticevian points (Table 23)
K005, K073, K373, K633, Q002, Q020, Q028, Q056, Q064, Q075
Knnn & Qnnn through the O-cevian points (Table 24)
K007, Q055, Q061
Knnn & Qnnn through the H-cevian points (Table 11)
K004, K007, K032, K122, K168, K199, K268, K313, K329, K332, K333, K518, K519, K520, K521, K522, K645, Q003, Q027, Q034, Q056, Q058
Knnn & Qnnn through the isogonal conjugate of the H-cevian points (Table 11)
K004, K172, K233, K523, K632, K633, Q002
Knnn & Qnnn through the Ω points (Table 41)
K095, K277, K307, K485, K486, K487, Q053, Q081
Knnn & Qnnn through points Ua,Ub,Uc (Table 18)
K001, K009, K080, K092, K142, K330, K331, K488, K732, K753, Q050, Q051, Q052
Knnn & Qnnn through the isogonal conjugates of points Ua,Ub,Uc (Table 18)
K001, K028, K405, K732
Knnn & Qnnn through points Va,Vb,Vc (K001)
K001, K258
Knnn & Qnnn through the isogonal conjugate of points Va,Vb,Vc (K001)
K001
Knnn & Qnnn through the foci of the Steiner circumellipse
K007, K025, K309, K310, K347, K348, K715
Knnn & Qnnn through the foci of the Steiner inellipse
K002, K018, K038, K086, K187, K248, K287, K352, K353, K358, K463, K705, K706, K727, K729, Q016, Q017, Q019, Q030, Q037, Q039, Q054, Q059, Q091, Q094
(K057a & K057b each pass through one real focus only)
Knnn & Qnnn through the ALL foci of the Brocard inellipse
K019, K166, K248, K326, K359, K444, K512, K516, K688
Knnn & Qnnn through the real foci (Brocard points) of the Brocard inellipse only
K012, K021, K023, K545, K546, K547, K548, K550, K551, K552, K553, K629, K630
Knnn & Qnnn through the imaginary foci of the Brocard inellipse only
K003, K049, K102, K115, K268, K369, K373, K587, K588, K643, K708, K731, Q019, Q039, Q065, Q073, Q088, Q094
Knnn & Qnnn through the foci of the orthic inconic
K018, K019, K040, K048, K102, K164, K168, K188, K189, K190, K233, K314, K417, K418, K708, Q002, Q003, Q021, Q056, Q112
Knnn & Qnnn through the foci of the Mandart inellipse
K040, K351, K352, K710, K716
Knnn & Qnnn through the foci of inconic with center X(3)
K003, K019, K187, K376, K443, Q007, Q008, Q009, Q010, Q020, Q063
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