# Plane and Solid Geometry

American Book Company, 1899 - Geometry - 384 pages

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### Contents

 GEOMETRY 9 Measurement of Angles 15 PLANE GEOMETRY 21 Parallel Lines 27 Triangles 38 Quadrilaterals 60 Polygons 68 Summary 74
 Maxima and Minima 230 Summary 237 SOLID GEOMETRY 243 Dihedral Angles 257 Polyhedral Angles 267 BOOK VIII 273 Pyramids 287 Similar and Regular Polyhedrons 299

 BOOK II 83 Measurement 98 Summary 122 BOOK III 135 BOOK IV 147 Summary 167 Summary 202 BOOK VI 213
 Formulae 305 Formulas 325 Spherical Angles and Polygons 338 Spherical Measurements 352 Formulae 364 Metric Tables 383 Copyright

### Popular passages

Page 105 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Page 149 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Page 67 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Page 47 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Page 64 - From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other...
Page 61 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Page 83 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Page 47 - In an isosceles triangle the angles opposite the equal sides are equal.
Page 33 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles.
Page 90 - In the same circle, or in equal circles, equal chords are equally distant from the center; and, conversely, chords equally distant from the center are equal.