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Collinear Points, Theorems and Problems - Table of Content

 

Collinear Points Index

 

Point, Theorems and Problems, Index

Points, Theorems and Problems - Index.

 

Lemoine Theorem
Collinear Points.

 

Nine-Point Center, Nine-Point Circle, Euler Line.
Interactive illustration.
Collinear Points.

 

Pappus Theorem

Pappus Theorem. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Collinear Points.

 

Gergonne Line

Interactive Gergonne Line and Nobbs Points. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Collinear Points.

 

Interactive Simson Line

Interactive Simson Line. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Collinear Points.

 

Sawayama -Thebault's theorem
Collinear Points.

 

Monge & d'Alembert Three Circles Theorem II with Dynamic Geometry. You can alter the geometric construction dynamically in order to test and prove (or disproved) conjectures and gain mathematical insight that is less readily available with static drawings by hand.
Collinear Points.

 

Monge & d'Alembert Three Circles Theorem I with Dynamic Geometry. You can alter the geometric construction dynamically in order to test and prove (or disproved) conjectures and gain mathematical insight that is less readily available with static drawings by hand.
Collinear Points.

 

Triangle with the bisectors of the exterior angles

Triangle with the bisectors of the exterior angles. Collinearity.
Key concept: Menelaus Theorem.
Collinear Points
 

 

Complete quadrilateral: ortholine, Elearning

Complete Quadrilateral: Ortholine-Steiner Line.
Step-by-Step construction, Manipulation, and animation
Collinear Points.

 

Triangle Square Theorem 1. Elearning, Online Tutoring

Triangle and Squares Theorem 1: with Interactive Geometry Software
Step-by-Step construction, Manipulation, and animation.
Collinear Points.

 

Newton's Theorem, Newton-Gauss Line: Complete quadrilateral theorem. Using TracenPoche Dynamic Geometry Software, Online Step-by-Step construction, manipulation, and animation.
Collinear Points.

 

Schiffler Point: Four Euler Lines with interactive animation and manipulation.
Collinear Points.

 

Pascal's Mystic Hexagram Theorem Proof

 

Newton's Theorem: Newton's Line. Circumscribed quadrilateral, midpoints of diagonals, center of the circle inscribed.
Collinear Points.

 

Equilic Quadrilateral.
Collinear Points. 

 

Three tangent circles

Proposed Problem 456.
Three tangent circles, Center, Chord, Secant, Collinear.

 

Triangle, Parallel, Concurrent lines

Proposed Problem 392.
Triangle, Parallel lines, Concurrent lines.

 

Triangle, Parallel, Collinear points

Proposed Problem 391.
Triangle, Parallel lines, Collinear points.

 

Triangle, Parallel, Collinear points

Proposed Problem 390.
Triangle, Parallel lines, Collinear points.

 

Triangle, Incenter, Circumcenter, Collinear

Proposed Problem 323.
Triangle, Incenter, Circumcenter, Equal circles, Collinearity.

 

Triangle, Incenter, Excircle, Altitude, Collinear

Proposed Problem 321.
Triangle, Incenter, Excircle, Midpoint of the Altitude, Collinearity.

 

Triangle, Circumcenter, Incenter, Excenter, Collinear

Proposed Problem 320.
Triangle, Circumcircle, Incenter, Excenter, Collinear points.

 

Elearning 318

Proposed Problem 318.
A Scalene triangle, Altitudes, Collinear points.

 

Triangle, Altitude

Proposed Problem 319.
Triangle, Altitudes, Perpendiculars, Collinear points.

 

Problem 133

Proposed Problem 133. Triangle, Interior and Exterior Angle Bisectors,
Collinear Points.

 

The Bevan Point The circumcenter of the excentral triangle. Illustration with animation.
Collinear Points.

 

Simson Line. A proof of Simson line with animation.

 

Geometry terms

Geometry Online Glossary. Collinear Points.
Geometry Glossary based on the new New York State mathematics standards initiative.

 

Interactive Geometry Glossary using AnswerTips technology.
Nonagon or Enneagon.

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