This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1901. Excerpt: ... n. GEOMETRICAL DEFINITIONS AND USEFUL PROPOSITIONS. A point is used for marking positions only, and has no dimension. A line is produced by the motion of a point, and has therefore length only. A surface is produced by the motion of a line, and has length and breadth. A solid is produced by the motion of a surface, and has therefore length, breadth, and thickness. LINES. Lines are either straight or curved. They may be horizontal, vertical, or oblique. Parallel lines are everywhere equally distant. Right Anglk. A cunt Angle. Oetuhk Angle When two straight lines meet, they form an angle. There are three kinds of angles, Right, Acute, and Obtuse angles. When one straight line meets another straight line, so that the angles on either side are equal, they are perpendicular to each other and the angles are Right angles. An Acute angle is less than a right angle. An Obtuse angle is greater than a right angle. When one straight line crosses another straight line, the sum of the four angles is equal to four right angles; any two adjacent angles are equal to two right angles, and are said to be supplementary to each other. ABD-fDEBis equal to two right angles, and D E B is the supplement of A E D. TRIANGLES. Equilateral Triangle. Isosceles Triable. Scalene Triangle. A triangle is a figure enclosed by three straight lines. It has three sides and three angles. There are three kinds of triangles, named after their sides, viz:--Equilateral, Isosceles, and Scalene. An Equilateral triangle has three of its sides equal. An Isosceles triangle has two of its sides equal. A Scalene triangle has none of its sides equal. There are three kinds of triangles, named after their angles, viz:--Right-angled triangle, Acute-angled triangle, and Obtuse-angled triangle. Right-angled Tr...
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