### Contents

 Section 1 1 Section 2 92 Section 3 103 Section 4 112 Section 5 114 Section 6 123 Section 7 130
 Section 8 133 Section 9 145 Section 10 180 Section 11 202 Section 12 209 Section 13 212 Section 14 251

### Popular passages

Page 36 - Two triangles are congruent if two angles and the included side of one are equal respectively to two angles and the included side of the other.
Page 95 - A circle is a closed plane curve, all points of which are equidistant from a point within called the center.
Page 148 - Hence it is evident, that every visible right-lined triangle, will coincide in all its parts with some spherical triangle. The sides of the one will appear equal to the sides of the other, and the angles of the one to the angles of the other, each to each •, and therefore the whole of the one triangle will appear equal to the whole of the other. In a word, to the eye they will be one and the same, and have the same mathematical properties. The properties therefore of visible right-lined triangles,...
Page 35 - A having two sides and the included angle of the one equal respectively to two sides and the included angle of the other are congruent.
Page 185 - The triangles on each side of the perpendicular are similar to the -whole triangle and to each other. II. The perpendicular is a mean proportional between the segments of the hypotenuse. III. Each side about the right angle is a mean proportional between the hypotenuse and the adjacent segment.
Page 186 - The triangles formed are similar to the whole triangle, and to each other. II. The perpendicular is a mean proportional between the segments of the hypotenuse. III. Either leg is a mean proportional between the whole hypotenuse and the adjacent segment.