Quadrangle Items

Geometric Entities in a 4-Point Framework

  Quadrangle General Information
QA-1 Notes on QA-points
QA-2 List of QA-Lines
QA-3 List of Parallel QA-Lines
QA-4 List of Perpendicular QA-Lines
QA-5 List of QA-Crosspoints
QA-6 QA-conversiont CT → DT-coordinates
QA-7 QA-conversiont DT → CT-coordinates
QA-8 The Dual QA/QL-configuration
  Quadrangle Centers
QA-P1 QA-Centroid or Quadrangle Centroid
QA-P2 Euler-Poncelet Point
QA-P3 Gergonne-Steiner Point
QA-P4 Isogonal Center
QA-P5 Isotomic Center
QA-P6 Parabola Axes Crosspoint
QA-P7 QA-Nine-point Center Homothetic Center
QA-P8 Midray Homothetic Center
QA-P9 QA-Miquel Center
QA-P10 Centroid of the QA-Diagonal Triangle
QA-P11 Circumcenter of the QA-Diagonal Triangle
QA-P12 Orthocenter of the QA-Diagonal Triangle
QA-P13 Nine-point Center of the QA-Diagonal Triangle
QA-P14 Centroid of the Morley Triangle
QA-P15 Orthocenter of the Morley Triangle
QA-P16 QA-Harmonic Center
QA-P17 Involutary Conjugate of QA-P5
QA-P18 Involutary Conjugate of QA-P19
QA-P19 AntiComplement of QA-P16 wrt QA-Diagonal Triangle
QA-P20 Reflection of QA-P5 in QA-P1
QA-P21 Reflection of QA-P16 in QA-P1
QA-P22 Midpoint of QA-P1 and QA-P20
QA-P23 Inscribed Square Axes Crosspoint
QA-P24 AntiComplement of QA-P1 wrt the Morley Triangle
QA-P25 1st QA-Quasi Centroid
QA-P26 2nd QA-Quasi Centroid
QA-P27 M3D Center
QA-P28 Midpoint Foci of QA-Parabolas
QA-P29 Complement of QA-P2 wrt the QA-Diagonal Triangle
QA-P30 Reflection of QA-P2 in QA-P11
QA-P31 Complement of QA-P16 wrt the QA-Diagonal Triangle
QA-P32 Centroid of the Circumcenter Quadrangle
QA-P33 Centroid of the Orthocenter Quadrangle
QA-P34 Euler-Poncelet Point of the Centroid Quadrangle
QA-P35 Penta Point
QA-P36 Complement of QA-P30 wrt the QA-Diagonal Triangle
QA-P37 Reflection of QA-P12 in QA-P1
QA-P38 Montesdeoca-Hutson Point
QA-P39 Midpoint QA-P12 and QA-P20
QA-P40 Centroid of the QL-P6-Triple Triangle
QA-P41 Involutary Conjugate of QA-P4
QA-P42 QA-Orthopole Center
QA-P43 Least Squared Distance Point QA and QA-DT
QA-P44 Least Squared Distance Point of QA-sidelines
  Quadrangle Lines
QA-L1 QA-P1-P2-P3 Line
QA-L2 QA-P2-P4-P6 Line
QA-L3 QA-P1-P5-P10 Line or QA-Centroids Line
QA-L4 QA-P1-P6 Line
QA-L5 Eulerline QA-Diagonal Triangle
QA-L6 QA-Newton-Morley Line
QA-L7 QL-P18-Triple Line
QA-L8 QA-DT-Isogonal Conjugate of QA-Co1
QA-L9 Perpendicular Bisector of QA-P2.QA-P4
QA-L10 QA-LSD Line
  Quadrangle Circles
QA-Ci1 QA-Circumcircle of Diagonal Triangle
QA-Ci2 QA-Medial Circle of Diagonal Triangle
  Quadrangle Conics
QA-Co-1 Circumscribed QA-Conics
QA-Co1 QA-Nine-point Conic
QA-Co2 QA-Orthogonal Hyperbola
QA-Co3 QA-Gergonne-Steiner Conic
QA-Co4 QA-DT-P3-P12 Orthogonal Hyperbola
QA-Co5 QA-DT-P1-P16 Conic
QA-2Co1 Pair of Circumscribed QA-Parabolas
  Quadrangle Cubics
QA-Cu-1 Circumscribed QA-Cubics
QA-Cu1 QA-DT-P4 Cubic
QA-Cu2 QA-DT-P5 Cubic
QA-Cu3 QA-DT-P10 Cubic
QA-Cu4 QA-DT-P19 Cubic
QA-Cu5 QA-DT-P1 Cubic
QA-Cu6 QA-P1-InvolutionCenter Cubic
QA-Cu7 QA-Quasi Isogonal Cubic
  Quadrangle Triangles
QA-Tr-1 Triple Triangles
QA-Tr-2 Quadri-Perspective Triple Triangles
QA-Tr-3 Quadri-Orthologic Triple Triangles
QA-Tr-4 Quadri-Cyclologic Triple Triangles
QA-Tr-5 Quadri-Parallelologic Triple Triangles
QA-Tr-6 Quadri-Eulerologic Triple Triangles
QA-Tr1 QA-Diagonal Triangle
QA-Tr2 Miquel Triangle
QA-Tr3 QA-Morley Triangle
QA-Tr4 QL-P12-Triple Triangle
QA-4Tr1 QA-Component Triangles
  Quadrangle Transformations
QA-Tf1 QA-Line Involution Center
QA-Tf2 QA-Involutary Conjugate
QA-Tf3 QA-Orthopole Transformation
QA-Tf4 QA-Moebius Conjugate
QA-Tf5 QA-Involution Center of 5th point tangent
QA-Tf6 Quang Duong’s Transformation
QA-Tf7 QA-Trilinear Pole
QA-Tf8 QA-Orthopolar Line
QA-Tf9 QA- 5th Point tangent
QA-Tf10 QA-QuadriPole
QA-Tf11 QA-QuadriPolar
QA-Tf12 QA-Pedal Point
QA-Tf13 QA-AntiPedal Point
QA-Tf14 QA-Orthotransversal Point
QA-Tf15 P-Circumscribed Conic Center
QA-Tf16 QA-Keizer-Schmidt Conjugate
QA-Tf17 1st QA-Hung’s Transformation
QA-Tf18 2nd QA-Hung’s Transformation
  Quadrangle Quadrigons
QA-3QG1 QA-Component Quadrigons


More Quadrangle Items: Take a look at n-Points Geometry :
* Every item that starts with nP-n- also has a version for a 4-point: 4P-n-
* Every item that starts with nP-e- also has a version for a 4-point: 4P-e-




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