Book 2 — CHAPTER II.
W. M. (William Mitchell) Gillespie translation
ANCIENT OR SYNTHETIC GEOMETRY 212
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