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Contents

 Section 1 3 Section 2 10 Section 3 3 Section 4 3 Section 5 3 Section 6 3 Section 7 3 Section 8 5
 Section 16 3 Section 17 8 Section 18 8 Section 19 3 Section 20 5 Section 21 3 Section 22 3 Section 23 8

 Section 9 8 Section 10 3 Section 11 3 Section 12 3 Section 13 8 Section 14 3 Section 15 3
 Section 24 7 Section 25 8 Section 26 3 Section 27 8 Section 28 3 Section 29 8 Section 30 3

Popular passages

Page 7 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Page 2 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Page 3 - 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 of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced.
Page 3 - Then with a grim and surly voice he bid them awake, and asked them whence they were and what they did in his grounds. They told him they were pilgrims and that they had lost their way. Then said the giant, You have this night trespassed on me by trampling in and lying on my grounds, and therefore you must go along with me.
Page 7 - ... subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle, Let ABC be an obtuse-angled triangle, having the obtuse angle ACB; and from the point A, let AD be drawn perpendicular to BC produced.
Page 2 - In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle.
Page 6 - If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section.
Page 2 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Page 3 - 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.