EQF-notes

Eckart Schmidt – EQF-notes

The works presented here were written by Eckart Schmidt in the years 2013–2018.

They all refer to the former Encyclopedia of Quadri-Figures (EQF),

which is now part of the Encyclopedia of Poly Geometry (EPG).

EQF-notes 2018

2018-02-25 Cayley-Bacharach Transformation for a QL
2018-02-09 QA-Orthopole-Circles for a QL
2018-02-03 Affine Regular Components of a 5-Gon
2018-01-28 Nonpivotal Isocubics for QA/QL
2018-01-23 Example for a Conic Transformation
2018-01-19 Isoconjugation for a Pentagon
2018-01-13 Triangle Circles and 5P-s-Tf3
2018-01-07 New QA-Points related to QA-P4 and QA-Co3

EQF-notes 2017

2017-12-30 Loci wrt 5P-s-Tf1,2,3,4
2017-11-25 Pivotal Isocubic for a 5L
2017-11-19 CSC-Circles for Points wrt a 5L
2017-11-15 CSC-related 5L-Transformation III
2017-11-06 5L-Example for Polarity with Conic
2017-11-04 CSC-related 5L-Transformation II
2017-10-31 Cayley-Bacharach Lines for QG/QL
2017-10-28 CSC-related 5L-Transformations
2017-10-25 Orthogonal 5L-Hyperbola
2017-09-25 New QL-circumscribed Cubics II
2017-09-22 New QL-circumscribed Cubics
2017-07-08 Cayley-Bacharach Lines for a Quadrilateral
2017-07-05 Cayley-Bacharach Lines for QL-Qu2
2017-06-12 Cayley-Bacharach Ninth Point on QA-Cu1 (II)
2017-06-02 Cayley-Bacharach Ninth Point on QA-Cu1
2017-04-14 QL-Cu1 as Strophoïd of a Tangential QL
2017-03-29 Four Circles for a Quadrangle
2017-03-22 Orthologic QA-Triple Triangles
2017-03-21 QG-Circumcubic wrt QG-P1, QL-P1, QA-P4
2017-01-12 Asymptotes of QL-Inscribed Hyperbolas
2017-01-10 QA-inscribed Quartic QA-Tf9 (Linf)

EQF-notes 2016

2016-12-06 Conic-Perspector QA-Co-1
2016-11-30 QL-Triple Triangles for QG-P1 and QA-P4
2016-11-17 Cubics of Generalized Cyclologic Centers II
2016-10-25 Cubics for Perspective QA-Triple Triangles
2016-10-16 Cubics of Generalized Cyclologic Centers
2016-10-09 Generalized Cyclologic Centers
2016-10-02 Dual Conics in the QA/QL-constellation
2016-09-30 QA-Cu1 Invariant Transformation
2016-09-27 Conics in the dual QA/QL-constellation
2016-08-09 QA-Circumscribed Hyperbolas wrt QA-Tf1
2016-07-28 Rectangles on QA-Cu1 and QL-Cu1
2016-06-15 Dual Cubics and Quartics
2016-05-25 Three Self-dual Conics
2016-05-22 QL-Cu1 as Nonpivotal Isogonal Cubic
2016-05-20 Nonpivotal Isocubic wrt QA/QL
2016-05-16 Cubic derived from QL-Cu1 wrt QL-Tf3
2016-04-25 QL-Tf3 for inscribed conics
2016-04-17 QA-Sigma Quartic
2016-04-15 QA-Reproduction with QA-Tr1 and QA-Tr2
2016-04-12 QA-Tr1 <–> QA-Tr2 Transformation
2016-04-07 Alternating Sum of Distance Squares
2016-04-01 Constant Sum of Distance Squares
2016-03-02 Reconstruction of a Quadrangle
2016-02-14 QL-DT Pivotal “Isosextics” wrt Lines
2016-01-19 Another Reference Triangle for QL-Cu1
2016-01-16 Reference Triangle for QL-Cu1
2016-01-13 QA-Cu1 and QL-Cu1
2016-01-11 Four Conics Tangent to QL-Cu1
2016-01-09 Three QG-conics wrt a Point
2016-01-04 Line Transformation wrt a Point on the Line

EQF-notes 2015

2015-12-04 QL-Cu1 as QA-Cu1
2015-12-03 A Third Quartic for a Quadrigon
2015-11-21 QL-Quartics
2015-11-13 A Quartic for Quadrilaterals II
2015-11-10 Foci of QA-circumscribed Conics
2015-10-10 Line Orientated QL-Point Transformation
2015-10-09 Polar Circle of QL-Tr1
2015-10-03 (QL-Cu1) for a Quadrangle
2015-09-28 QL-Tf1 Related Curves
2015-09-24 QL-Quintic
2015-09-22 QL-Tf1 and QL-Tf2 wrt QL-Cu1
2015-09-21 Inscribed Orthogonal QL-Hyperbolas
2015-09-11 QA-Cubics as QL-Cu1
2015-07-30 Pedal-Cevian Quadrigons
2015-07-24 Generalization of CSC (QL-Tf1)
2015-07-22 Pivotal CSC-Cubics for a Quadrilateral
2015-07-13 QL-Geometry for a Quadrangle
2015-07-05 A new Cubic for a Quadrilateral II
2015-07-04 A new Cubic for a Quadrilateral
2015-06-30 Line-Circle Transformation for a QL
2015-06-20 QL-Tf2 and QL-Cu1
2015-06-18 QL-Circle wrt QL-Cu1
2015-05-02 Construction of Morley´s 4L-Axes II
2015-04-28 Double Tangent Tetracardioids
2015-04-22 Orthogonal Morley-4L-Axes
2015-04-16 Construction of Morley´s 4L-Axes
2015-04-14 Sets of Morley´s 4L-Axes and 5L-Incenters
2015-03-28 12 Special Morley-Axes for a Quadrilateral
2015-01-25 Basic Elements of 6-Line Geometry
2015-01-18 Center Circles and Clifford´s Chain …
2015-01-13 Line-Penosculant-Trapezoid of a n-Line
2015-01-08 CSC-Transformation for 2n-Lines
2015-01-03 Morley´s Penosculants of the Limacon
2015-01-02 Morley´s Limacon as Inverse of a Conic

EQF-notes 2014

2014-12-19 Hodgson’s Directed n-Lines II
2014-12-16 Hodgson’s Directed n-Lines
2014-12-10 Morley Points for n-Lines
2014-11-23 Morley’s Tetracardioid of a 5-Line
2014-11-06 CSC-Circles for Pentalaterals
2014-10-23 CSC-Line-Transformation for Pentalaterals
2014-10-21 The CSC-Transformation for Pentalaterals
2014-10-04 Steiner Axes, Newton Line and QL-Cu1
2014-09-22 QG-conics wrt a perspective row on QG-L2
2014-09-14 Three QG-Cubics for a QL and a QA
2014-09-06 Remarkable QL-Triangle
2014-08-18 A new Aspect of QL-Cu1
2014-08-16 Angle Bisectors of a Quadrigon
2014-07-27 A Curious QL-Point
2014-07-24 QL-Hyperbola wrt QL-P8
2014-07-20 Two Deltoids wrt the Pedal Line QL-L3
2014-07-17 Special Loci of EQF-Points
2014-06-04 Constant Sum of QL-Distance-Squares
2014-05-30 Orthogonal Hyperbolas through QL-P26
2014-05-21 Construction of Eckart´s Cubic QL-Cu2 (2)
2014-05-17 Construction of Eckart´s Cubic QL-Cu2 (1)
2014-05-11 Drawing Eckart´s Cubic QL-Cu2
2014-04-14 Coconic Reflections of Points in PiPj
2014-04-02 Foci of QA-Circumscribed Conics
2014-03-25 A Ring of Transformations
2014-03-22 Special Conics for QG, QL, QA
2014-03-17 Inscribed QL-Conic tangent to the Steiner Axes
2014-03-04 A Network of QL-Transformations
2014-02-27 Nodal QL-Cubic wrt the Miquel Point
2014-02-08 Pendant to QL-2P2
2014-02-05 QA-P4 – QL-P1 – QG-P1 – Circumconic
2014-02-01 Clawson´s Polar Reciprocation
2014-01-31 Cubics related to Lines
2014-01-30 Orthocentric Pedal Quadrangles
2014-01-23 QG-Cubic with XP1*XP3=XP2*XP4
2014-01-20 The Miquel Pedal Point
2014-01-12 Alternating Sum of Distances

EQF-notes 2013

2013-12-08 A Quartic for Quadrilaterals
2013-12-06 A Second Quartic for Quadrigons
2013-12-05 A Quartic for Quadrigons
2013-11-22 Another Quadrigon Circle
2013-11-20 A new Circle for Quadrigons
2013-11-15 Three QG-Circumconics for a Quadrilateral II
2013-11-04 Three QG-Circumconics for a Quadrilateral
2013-10-28 Inscribed Parallelograms of a Quadrigon
2013-10-13 A Curious QA-Transformation
2013-10-07 QL-DT Circumscribed Conics
2013-10-06 A Pair of QG-Cubics
2013-09-10 Circumscribed Conics of the QA-DT Medial Triangle
2013-05-17 A Cubic, a Circle, and a Line wrt a Quadrilateral
2013-04-15 Involutary Conjugate of the Newton Line
2013-04-12 QL-P5, QL-P12, QL-P20, QL-P22
2013-04-08 Common Point of five Miquel circles
2013-04-05 Involutary Conjugate of Infinity Points
2013-03-30 A Steiner-Hypocycloid for Quadrangles with the same QA-Diagonal Triangle
2013-03-08 A New Type of EQF-Transformation
2013-03-03 Some Remarks for Angle Properties of QA-P4
2013-02-16 Circumscribed Conics of a Quadrangle
2013-02-15 Trilinear Poles and Polars wrt the Diagonal Triangles
2013-02-09 Two Strophoids for the Euler Line
2013-02-01 Two Corresponding Triangles for Quadrangle and Quadrilateral
2013-01-21 Two Circumscribed QA-Tf2 Isocubics of a Quadrigon
2013-01-18 Two Circumscribed Conics of a Quadrangle
2013-01-10 Pivotal Isogonal Isocubics wrt QG-Tr3
2013-01-05 Simson Lines in QL-Environment
2013-01-01 A Line, a Conic and a Cubic wrt an Isoconjugation

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