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Euclidean plane and its relatives: A minimalist introduction
Before you begin
Basics
Area
Apollonian circle
Inscribed angles
Inversion
Hyperbolic plane: conformal model
Hyperbolic plane: projective model
Affine geometry
Projective geometry
Constructions
Euclidean plane and its relatives: A minimalist introduction
Author:
Anton Petrunin
Topic:
Geometry
A suplement to "Euclidean plane and its relatives" (
https://anton-petrunin.github.io/birkhoff/
).
Table of Contents
Before you begin
Test construction
Basics
Copy of triangle
Angle-side-side
Perpendicular bisector
Segment bisection
Perpendicular
Center of circle
Tangent to circle
Tangent circle
Parallel line
Segment trisection
Angle bisector
Simplified Apollonius' problem
Circumcircle
Incircle
Area
Area bisection 1
Area bisection 2
Area bisection 3
Equiareal rectangles
Equiareal rectangle
Apollonian circle
Apollonian circle
Equal angles 1
Equal anglles 2
Equal angles 3
Brahmagupta's problem
Inscribed angles
Right angles
Equal angles
Perpendicular with ruler
Base, perimeter, and angle
Inversion
Inversion
Inversions
Perpedicular circle 1
Perpedicular circle 2
Perpendicular circle 3
Hyperbolic plane: conformal model
Center
Copy of circle
Perpendicular
Tangent to circle
Bolyai’s construction
Common perependicular
Common tangent
Hyperbolic plane: projective model
Center
Copy of circle
Perpendicular
Tangent to circle
Common perependicular
Bolyai’s construction
Affine geometry
Segment bisection
Segment trisection
Center of circle
Arithmetics
Projective geometry
Third parallel line
Three pairs of parallel lines
Tangent to circle
Center of concentric circles
Intersection point
Constructions
Minimal perimeter 1
Minimal perimeter 2
Minimal perimeter 3
Inscribed square 1
Inscribed square 2
Inscribed square 3
Inscribed eqilateral triangle
Parallel cut
Cuts
Vertices on lines
Inscribed triangle
Common tangetnt
Square root
Arithmetics
Next
Test construction
New Resources
Spherical dodecahedron/icosahedron
רישום חופשי
Vectors and Components - Trig
Multiplying 4-Digit by 3-Digit Numbers Using an Area Model
'Einstein' tile vitral
Discover Resources
Theorem 09 - Opposite Sides and Angles in a Parallelogram
Example 3
Transformation 9
Pg 44 Q 5
Discover Topics
Sequences and Series
Trapezoid
Integers
Addition
Boxplot
