Quadrilateral Items

Geometric Entities in a 4-Line Framework

  Quadrilateral General Information
QL-1 Systematics for describing QL-points
QL-2 List of Quadrilateral Lines
QL-3 List of Parallel Quadrilateral Lines
QL-4 List of Perpendicular Quadrilateral Lines
QL-5 List of QL-Crosspoints
QL-6 QL-conversiont CT -> DT-coordinates
QL-7 QL-conversiont DT -> CT-coordinates
QL-8 The Dual QA/QL-configuration
   
  Quadrilateral Centers
QL-P1 Miquel Point
QL-P2 Morley Point
QL-P3 Kantor-Hervey Point
QL-P4 Miquel Circumcenter
QL-P5 Clawson Center
QL-P6 Dimidium Point
QL-P7 Newton-Steiner Point
QL-P8 Centroid of the QL-Diagonal Triangle
QL-P9 Circumcenter of the QL-Diagonal Triangle
QL-P10 Orthocenter of the QL-Diagonal Triangle
QL-P11 Nine-point Center of the QL-Diagonal Triangle
QL-P12 QL-Centroid or Lateral Centroid
QL-P13 QL-Harmonic Center or Lateral Harmonic Center
QL-P14 1st QL-Quasi Centroid
QL-P15 2nd QL-Quasi Centroid
QL-P16 QL-Quasi Circumcenter
QL-P17 Adjunct QL-Quasi Circumcenter
QL-P18 Reflection of QL-P8 in QL-P12
QL-P19 Midpoint of QL-P1 and QL-P7
QL-P20 QL-Orthocenter Homothetic Center
QL-P21 Adjunct QL-Orthocenter Homothetic Center
QL-P22 QL-Nine-point Center Homothetic Center
QL-P23 Center of the Inscribed Midline Hyperbola
QL-P24 Intersection QL-P1.QL-P8 ^ QL-P13.QL-P17
QL-P25 2nd QL-Parabola Focus
QL-P26 Least Squares Point
QL-P27 Nine-point Homothetic Center QL-X(3) Quadrangle
QL-P28 Circumcenter QL-X(186)-Quadrangle
QL-P29 Circumcenter QL-X(265)-Quadrangle
QL-P30 Morley’s Second Circle Center
   
  Quadrilateral Multiple Points/Lines
QL-2P1 Plücker Pair of Points
QL-2P2 Isogonal Conjugated Newton Pair of Points
QL-2P3 Schmidt Pair of Points
QL-2P4 Orthocentric Pedal Quadrangle Centers
QL-8P1 Steiner Angle Bisector Center Octet
QL-12L1 A dozen of Equidistance Lines
QL-12P1 A dozen of Equidistance Points
  Quadrilateral Lines
QL-L-1 The Railway Watcher
QL-L1 Newton Line
QL-L2 Steiner Line
QL-L3 QL-Pedal Line
QL-L4 Morley Line
QL-L5 NSM Line
QL-L6 Quasi Ortholine
QL-L7 Eulerline QL-Diagonal Triangle
QL-L8 QL-Centroids Line
QL-L9 M3D Line
QL-L10 QL-LSD Line
QL-L11 QG-P16 Triple Line
   
  Quadrilateral Circles
QL-Ci1 Circumcircle QL-Diagonal Triangle
QL-Ci2 Medial Circle QL-Diagonal Triangle
QL-Ci3 Miquel Circle
QL-Ci4 Hervey Circle
QL-Ci5 Plücker Circle
QL-Ci6 Dimidium Circle
   
  Quadrilateral Conics
QL-Co-1 5th Line Conics
QL-Co1 Inscribed Quadrilateral Parabola
QL-Co2 Inscribed Midline Hyperbola
QL-Co3 2nd Quadrilateral Parabola
QL-2Co1 Pair of Inscribed Orthogonal Hyperbolas
   
  Quadrilateral Cubics
QL-Cu1 QL-Quasi Isogonal Cubic
QL-Cu2 Eckart’s Cubic
   
  Quadrilateral Quartics
QL-Qu1 Morley’s Mono Cardioid
QL-Qu2 Kantor-Hervey Deltoid
QL-Qu3 Schmidt Quartic
QL-27Qu1 Morley’s Multiple Cardioids
   
  Quadrilateral Triangles
QL-Tr1 QL-Diagonal Triangle
QL-Tr2 QL-NPC Triangle
QL-4Tr1 QL-Component Triangles
   
  Quadrilateral Transformations
QL-Tf1 Clawson-Schmidt Conjugate
QL-Tf2 QL-Line Isoconjugate
QL-Tf3 CSCe Transformation
QL-Tf4 QL-Orthopole
QL-Tf5 QL-Orthopolar Line
QL-Tf6 QL-Trilinear Polar
QL-Tf7 QL- 5th Line touchpoint
QL-Tf8 QL-Involutary Centerline
QL-Tf9 QL-Involutary Centerline at 5th Line touchpoint
QL-Tf10 QL-QuadriPole
QL-Tf11 QL-QuadriPolar
   
  Quadrilateral Quadrigons
QL-3QG1 QL-Component Quadrigons


More Quadrilateral Items: Take a look at n-Points Geometry :
* Every item that starts with nL-n- also has a version for a 4-line: 4L-n-
* Every item that starts with nL-e- also has a version for a 4-line: 4L-e-




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