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### Contents

 Section 1 1 Section 2 5 Section 3 11 Section 4 13 Section 5 15 Section 6 16 Section 7 19 Section 8 20
 Section 13 53 Section 14 56 Section 15 80 Section 16 83 Section 17 106 Section 18 126 Section 19 147 Section 20 152

 Section 9 24 Section 10 25 Section 11 27 Section 12 29
 Section 21 157 Section 22 164 Section 23 175 Section 24

### Popular passages

Page 36 - Any two sides of a triangle are together greater than the third side.
Page 80 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Page 42 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line...
Page 30 - To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line : it is required to divide it intotwo equal parts.
Page 20 - LET it be granted that a straight line may be drawn from any one point to any other point.
Page 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.
Page 113 - Wherefore also the angle BAD is equal to the angle CAD : Therefore the angle BAC is cut into two equal angles by the straight line AD.
Page 24 - DE ; the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with DE, AC shall coincide...
Page 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.