# The Elements of geometry; or, The first six books, with the eleventh and twelfth, of Euclid, with corrections, annotations, and exercises, by R. Wallace. Cassell's ed

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### Contents

 Section 1 1 Section 2 2 Section 3 15 Section 4 30 Section 5 41 Section 6 54 Section 7 64 Section 8 79
 Section 14 147 Section 15 147 Section 16 147 Section 17 147 Section 18 154 Section 19 170 Section 20 176 Section 21 184

 Section 9 83 Section 10 97 Section 11 123 Section 12 129 Section 13 131
 Section 22 187 Section 23 189 Section 24 199 Section 25 212

### Popular passages

Page 23 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Page 34 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Page 2 - 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 122 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page 5 - LET it be granted that a straight line may be drawn from any one point to any other point.
Page 3 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Page 135 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar.
Page 20 - PROBLEM. At a given point in a given straight line, to make a rectilineal angle equal to a given rectilineal angle.
Page 147 - Similar solid figures are such as have all their solid angles equal, each to each, and are contained by the same number of similar planes.
Page 37 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square...