Cubics

Geometric Entities for a curve of third degree

	General information CU-items
CU-0	CU Notation Technique
CU-1	Notes on the General Cubic
CU-2	Basic Structure of the General Cubic
CU-3	Types of Cubics
CU-4	CU Point Addition Method
CU-5	Normal Form of a Cubic Equation

	CU-items of the General Cubic
CU-Cu1	Hessian
CU-3Cu1	3 PreHessians
CU-Sx1	Cayleyan
CU-Ci1	The unique CU-Polar Circle
CU-9P1	9 Inflection points / Flexpoints
CU-9L1	9 Harmonic Polars / Flex Polar Lines
CU-12L1	12 Flexlines of the Cubic
CU-12P1	12 Harmonic Polar Crosspoints
CU-27P1	27 Sextatic Points
CU-Tr1	The Asy-Triangle
CU-L1	CU-Asy-Crosspoints-Line
CU-L2	QF-Conic Centers Line
CU-L3	CU-QMT CrossLine
CU-3Q1	Set of Common Intersection pts of 3 QF-Conics
CU-4Q1	Set of Common Inters.pts of 3 IP-Polar Conics

	CU-items that occur for each CU-asymptote
CU-IP-P1	CU-Infinity Points
CU-IP-P2	CU-Asy-Crosspoints
CU-IP-Q1	Asy-Asy-Crosspoints
CU-IP-L1	Asymptotes of the General Cubic
CU-IP-Co1	IP-Polar Conic / IP-Diametral Conic
CU-IP-Co2	Central Conic / QF-Conic
CU-IP-4P1	Set of 4 Anallagmatic Points
CU-IP-3P1	Set of 3 Quasi-Miquel Points
CU-IP-3Tf1	Set of 3 Quasi-Moebius Transformations
CU-IP-Tf1	IP-Involutary Conjugate
CU-IP-P-P1	P-Asy-Parallel Crosspoint

	CU+1P/1L derived items
CU-P-P1	P-Tangential
CU-P-L1	P-Tangent (P on CU)
CU-Q-L1	Q-Tangent (Q not on CU)
CU-Q-L2	Q-Polar (Q not on CU)
CU-P-3P1	3 The co-tangentials of P
CU-P-4P1	4 touchpoints of tangents from P to CU
CU-P-Co1	P-Polar Conic of a Cubic (P on CU)
CU-Q-Co1	Q-Polar Conic of a Cubic (Q not on CU)
CU-P-Tf1	P-Involutary Conjugate of X
CU-P-Tf2	1^st CU_P Transformation
CU-L-4P1	4 Poles of a Line
CU-L-12P1	L-Desmic System
CU-L-L1	L-Tangential Line (with 3 Pi-Tangential Points)
CU-L-L2	L-Mean Line of Intersection
	CU+2P derived items
CU-2P-P1	3^rd intersection point of CU and 2P-Line
CU-2P-L1	Line through 2 given CU-points
CU-2P-L2	Mixed XY-Polar
	CU+3P derived items
CU-3P-P1	CU_3P PQR Addition Point
CU-3P-9P1	9 3P-Osculating Conic Points
	CU+4P derived items
CU-4P-P1	Cotterill’s Point / Coresidual point
CU-4P-P2	CU-CB4d Point
CU-4P-cHe1	CU-inscribed Complete Hexagon
2CU-4P-Co1	CU-4P-Common Points Conic
	CU+5P derived items
CU-5P-P1	CU-6th Intersection point 5P-Conic with CU
CU-5P-Co1	CU-5P-Conic
CU-5P-Co2	CU-5P-Tangential Conic (with 6 Pi-Tangntl Pts)
	CU+6P derived items
CU-6P-cDe1	CU-inscribed Complete Decagon
	CU+7P derived items
CU-7P-P1	CU-7P-CB Pivot Point
CU-7P-Tf1	CU-7P-Geiser Involution/Transformation
2CU-7P-L1	7P-Cubics Intersection Line
	CU+8P derived items
CU-8P-P1	Cayley Bacharach Point for a Regular Cubic
	CU+9P derived items
CU-9P-P4	Tangential of CU_9P-P1
CU-9P-3P1	IP-Sumpoints of the set (P1,…,P9)

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