# A graduated course of problems in practical plane and solid geometry

### Contents

 PRACTICAL PLANE GEOMETRY 1 TRIANGLES 20 QUADRILATERAL FIGURES 34 CIRCLES TANGENTS AND ARCS 44 POLYGONS 56 ELLIPSES 73 INSCRIBED FIGURES 87 DESCRIBED FIGURES 93
 EQUIVALENT AREAS 137 MISCELLANEOUS PROBLEMS 167 SCALES 181 SECTION PAGE 187 PENETRATIONS OF SOLIDS 260 MISCELLANEOUS EXERCISES IN PRACTICAL SOLID GEOMETRY 273 QUESTIONS IN SOLID GEOMETRY 280 INDEX TO PROBLEMS IN PLANE GEOMETRY 287

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Page 193 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed. If the fixed side be equal to the other side containing the right angle, the cone is called a right-angled cone ; if it be less than the other side, an obtuse-angled ; and if greater, an acute-angled cone. XIX. The axis of a cone is the fixed straight line about which the triangle revolves.
Page 123 - A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment as the greater segment is to the less.