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### Contents

 Section 1 1 Section 2 Section 3 1 Section 4 Section 5 10 Section 6 1 Section 7 5
 Section 8 15 Section 9 16 Section 10 19 Section 11 1 Section 12 5 Section 13 14

### Popular passages

Page 19 - If two triangles have two sides of the one equal to two sides of the...
Page 1 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a Right Angle; and the straight line which stands on the other is called a Perpendicular to it.
Page 8 - Upon the same base, and on the same side of it, there cannot be two triangles, that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity, equal to one another.
Page 16 - Any two sides of a triangle are together greater than the third side.
Page 22 - If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite upon the same side, and also the two interior angles upon the same side together equal to two right angles.
Page 12 - IF a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Page 5 - IF two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another.