Supplements to some chapters of Experiencing Geometry

 

Chapter 0 Historical Strands of Geometry

Experiencing Meaning in Geometry - by David W. Henderson & Daina Taimina

How to Use History to Clarify Common Confusions in Geometry – by David W. Henderson & Daina Taimina

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Chapter 1 What is Straight?

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Chapter 2 Straightness on Spheres

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Chapter 3 What is an Angle?

Chapter 4 Straightness on Cylinders and Cones

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Chapter 5 Straightness on Hyperbolic Planes

Crocheted Hyperbolic Plane by David W. Henderson & Daina Taimina

Annuli for hyperbolic paper model – this is a template to print out for making hyperbolic paper model from anulli

Template for hyperbolic soccer ball – this is a template by Keith Henderson to print out for making paper hyperbolic soccer ball. Use three sheets and overlap the hexagons that have the three dots. Also, don't cut the dotted segments, to save time, but cut only solid lines.

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Chapter 6 Triangles and Congruencies

Chapter 7 Area and Holonomy

Chapter 8 Parallel Transport

Chapter 9 SSS, ASS, SAA, and AAA

Chapter 10 Parallel Postulates

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Chapter 11 Isometries and Patterns

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Chapter 12 Dissection Theory

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Chapter 13 Square Roots, Pythagoras, and Similar Triangles

Square Roots in the Sulbasutra by David W. Henderson

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Chapter 14 Projections of a Sphere onto a Plane

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Chapter 15 Circles

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Chapter 16 Inversions in Circles

Interactive examples by David W. Henderson (requires a Java 1.1 compatible browser, please be patient – first download is slow):

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Chapter 17 Projections (Models) of Hyperbolic Planes

Crocheted Hyperbolic Plane by David W. Henderson & Daina Taimina

Annuli for hyperbolic paper model – this is a template to print out for making hyperbolic paper model from anulli

Template for hyperbolic soccer ball – this is a template by Keith Henderson to print out for making paper hyperbolic soccer ball. Use three sheets and overlap the hexagons that have the three dots. Also, don't cut the dotted segments, to save time, but cut only solid lines.

Reflection of triangle in upper half plane model – interactive example by David W. Henderson (requires a Java 1.1 compatible browser, please be patient – first download is slow)

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Chapter 18 Geometric 2-Manifolds

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Chapter 19 Geometric Solutions of Quadratic and Cubic Equations

Geometric solutions of Quadratic and Cubic Equations by David W. Henderson

Chapter 20 Trigonometry and Duality

Chapter 21 Mechanisms

Kinematic models for Design – Digital Library

Four Bar Linkages

Universal Joint

Reuleaux Triangle

 

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Peaucellier-Lipkin linkage links:

Chapter 22 3-Spheres and Hyperbolic 3-Spaces

Chapter 23 Polyhedra

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Chapter 24 3-Manifolds – the Shape of Space

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