# Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian School, Cheam, Surrey

Taylor and Walton, 1837 - Geometry - 215 pages
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### Contents

 Introduction 1 Straight Lines 4 Ditto 5 Description of the five regular Solids 9 Ditto 11 Ditto 13 Quadrilateral figures 15 The Rhomboidal Dodecahedron 18
 The Prism 25 Solids bounded by Curved Faces The Sphere 26 The Cylinder 28 The Cone 31 ANGLES SECTION 1 One and Two Straight Lines 33 Three Straight Lines 48 One Triangle 63 Two Trianglestheir Equality 74

### Popular passages

Page 98 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Page 134 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side...
Page 137 - In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle.