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Introduction | Universal Hyperbolic Geometry 0 | NJ Wildberger
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Universal Hyperbolic Geometry - A Projective and Algebraic Approach
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- 1 Introduction | Universal Hyperbolic Geometry 0 | NJ Wildberger
- 2 Apollonius and polarity | Universal Hyperbolic Geometry 1 | NJ Wildberger
- 3 Apollonius and harmonic conjugates | Universal Hyperbolic Geometry 2 | NJ Wildberger
- 4 First steps in hyperbolic geometry | Universal Hyperbolic Geometry 4 | NJ Wildberger
- 5 Pappus' theorem and the cross ratio | Universal Hyperbolic Geometry 3 | NJ Wildberger
- 6 The circle and Cartesian coordinates | Universal Hyperbolic Geometry 5 | NJ Wildberger
- 7 The circle and projective homogeneous coordinates (cont.) | Universal Hyperbolic Geometry 7b
- 8 Duality, quadrance and spread in Cartesian coordinates | Universal Hyperbolic Geometry 6
- 9 The circle and projective homogeneous coordinates | Universal Hyperbolic Geometry 7a | NJ Wildberger
- 10 Computations with homogeneous coordinates | Universal Hyperbolic Geometry 8 | NJ Wildberger
- 11 Duality and perpendicularity | Universal Hyperbolic Geometry 9 | NJ Wildberger
- 12 Orthocenters exist! | Universal Hyperbolic Geometry 10 | NJ Wildberger
- 13 Theorems using perpendicularity | Universal Hyperbolic Geometry 11 | NJ Wildberger
- 14 Null points and null lines | Universal Hyperbolic Geometry 12 | NJ Wildberger
- 15 Apollonius and polarity revisited | Universal Hyperbolic Geometry 13 | NJ Wildberger
- 16 Reflections in hyperbolic geometry | Universal Hyperbolic Geometry 14 | NJ Wildberger
- 17 Midpoints and bisectors | Universal Hyperbolic Geometry 16 | NJ Wildberger
- 18 Reflections and projective linear algebra | Universal Hyperbolic Geometry 15 | NJ Wildberger
- 19 Medians, midlines, centroids and circumcenters | Universal Hyperbolic Geometry 17 | NJ Wildberger
- 20 Parallels and the double triangle | Universal Hyperbolic Geometry 18 | NJ Wildberger
- 21 The J function, sl(2) and the Jacobi identity | Universal Hyperbolic Geometry 19 | NJ Wildberger
- 22 Pure and applied geometry--understanding the continuum | Universal Hyperbolic Geometry 20
- 23 Quadrance and spread | Universal Hyperbolic Geometry 21 | NJ Wildberger
- 24 Pythagoras' theorem in Universal Hyperbolic Geometry | Universal Hyperbolic Geometry 22
- 25 The Triple quad formula in Universal Hyperbolic Geometry | Universal Hyperbolic Geometry 23
- 26 Visualizing quadrance with circles | Universal Hyperbolic Geometry 24 | NJ Wildberger
- 27 Geometer's Sketchpad and circles in Universal Hyperbolic Geometry 25 | Universal Hyperbolic Geometry
- 28 Trigonometric laws in hyperbolic geometry using Geometer's Sketchpad|UniversalHyperbolicGeometry 26
- 29 The Spread law in Universal Hyperbolic Geometry | Universal Hyperbolic Geometry 27 | NJ Wildberger
- 30 The Cross law in Universal Hyperbolic Geometry | Universal Hyperbolic Geometry 28 | NJ Wildberger
- 31 Thales' theorem, right triangles + Napier's rules| Universal Hyperbolic Geometry 29 | NJ Wildberger
- 32 Isosceles triangles in hyperbolic geometry | Universal Hyperbolic Geometry 30 | NJ Wildberger
- 33 Menelaus, Ceva and the laws of proportion | Universal Hyperbolic Geometry 31 | NJ Wildberger
- 34 Trigonometric dual laws and the Parallax formula | Universal Hyperbolic Geometry 32 | NJ Wildberger
- 35 Spherical and elliptic geometries: an introduction | Universal Hyperbolic Geometry 33
- 36 Spherical and elliptic geometries (cont.) | Universal Hyperbolic Geometry 34 | NJ Wildberger
- 37 Areas and volumes for a sphere | Universal Hyperbolic Geometry 35 | NJ Wildberger
- 38 Classical spherical trigonometry | Universal Hyperbolic Geometry 36 | NJ Wildberger
- 39 Parametrizing and projecting a sphere | Universal Hyperbolic Geometry 38 | NJ Wildberger
- 40 Rational trigonometry: an overview | Universal Hyperbolic Geometry 39 | NJ Wildberger
- 41 Perpendicularity, polarity and duality on a sphere | Universal Hyperbolic Geometry 37
- 42 Rational trigonometry in three dimensions | Universal Hyperbolic Geometry 40 | NJ Wildberger
- 43 Trigonometry in elliptic geometry | Universal Hyperbolic Geometry 41 | NJ Wildberger
- 44 Trigonometry in elliptic geometry II | Universal Hyperbolic Geometry 42 | NJ Wildberger
- 45 Applications of rational spherical trigonometry I | Universal Hyperbolic Geometry 43 | NJ Wildberger
- 46 Applications of rational spherical trigonometry II | Universal Hyperbolic Geometry 44
- 47 The geometry of the regular tetrahedron | Universal Hyperbolic Geometry 45 | NJ Wildberger
- 48 Eight ninths and the geometry of A4 paper | Universal Hyperbolic Geometry 46 | NJ Wildberger
- 49 The remarkable Platonic solids I | Universal Hyperbolic Geometry 47 | NJ Wildberger
- 50 The remarkable Platonic solids II: symmetry | Universal Hyperbolic Geometry 48 | NJ Wildberger
- 51 Canonical structures inside the Platonic solids I | Universal Hyperbolic Geometry 49 | NJ Wildberger
- 52 Canonical structures inside Platonic solids II | Universal Hyperbolic Geometry 50 | NJ Wildberger
- 53 Canonical structures inside the Platonic solids III | Universal Hyperbolic Geometry 51
- 54 Petrie polygons of a polyhedron | Universal Hyperbolic Geometry 52
- 55 The classification of Platonic solids I | Universal Hyperbolic Geometry 53 | NJ Wildberger
