# Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and Illustrations

A. Constable & Company, 1817 - Geometry - 432 pages

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### Contents

 Section 1 1 Section 2 4 Section 3 5 Section 4 13 Section 5 21 Section 6 28 Section 7 43 Section 8 60
 Section 18 181 Section 19 199 Section 20 200 Section 21 204 Section 22 206 Section 23 212 Section 24 225 Section 25 226

 Section 9 71 Section 10 101 Section 11 125 Section 12 128 Section 13 145 Section 14 150 Section 15 155 Section 16 156 Section 17 175
 Section 26 254 Section 27 260 Section 28 262 Section 29 283 Section 30 318 Section 31 338 Section 32 380 Copyright

### Popular passages

Page 30 - ... if a straight line, &c. QED PROPOSITION 29. — Theorem. 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 likewise the two interior angles upon the same side together equal to two right angles.
Page 333 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any...
Page 294 - If a straight line meets two straight lines, so as to " make the two interior angles on the same side of it taken " together less than two right angles...
Page 10 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 137 - Componendo, by composition ; when there are four proportionals, and it is inferred that the first together with the second, is to the second, as the third together with the fourth, is to the fourth.
Page 84 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Page 292 - Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles...
Page 93 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle.
Page 38 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 58 - The rectangle contained by the sum and difference of two straight lines is equivalent to the difference of the squares of these lines.