Chapter II: Ancient or Synthetic Geometry

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ITS PROPER EXTENT 212
Lines; Polygons; Polyhedrons 212
Not to be farther restricted 213
Improper Application of Analysis 214
Attempted Demonstrations of Axioms 216

GEOMETRY OF THE RIGHT LINE 217

GRAPHICAL SOLUTIONS 218
_Descriptive Geometry_ 220

ALGEBRAICAL SOLUTIONS 224
_Trigonometry_ 225
Two Methods of introducing Angles 226
1. By Arcs 226
2. By trigonometrical Lines 226
Advantages of the latter 226
Its Division of trigonometrical Questions 227
1. Relations between Angles and
trigonometrical Lines 228
2. Relations between trigonometrical
Lines and Sides 228
Increase of trigonometrical Lines 228
Study of the Relations between them 230