# Elements of Geometry

Harper & brothers, 1896 - Geometry - 540 pages
0 Reviews
Reviews aren't verified, but Google checks for and removes fake content when it's identified

### What people are saying -Write a review

We haven't found any reviews in the usual places.

### Contents

 INTRODUCTION 3 PARALLEL LINES AND SYMMETRICAL FIGURES 15 TRIANGLES 32 PARALLELOGRAMS 60 PROBLEMS 66 THE CIRCLE 73 MEASUREMENT 87 PROBLEMS OF DEMONSTRATION 106
 PROBLEMS FOR COMPUTATION 351 SPHERICAL ANGLES 378 MEASUREMENT OF SPHERICAL FIGURES 398 PROBLEMS OF DEMONSTRATION 408 THE CONE 420 THE SPHERE 430 PROBLEMS OF DEMONSTRATION 444 MAXIMA AND MINIMA OF PLANE FIGURES 456

 PROBLEMS OF CONSTRUCTION 108 PROBLEMS OF DEMONSTRATION 154 PROBLEMS FOR COMPUTATION 160 BOOK IV 170 PROBLEMS OF DEMONSTRATION 193 REGULAR POLYGONS AND CIRCLES 202 PROBLEMS OF DEMONSTRATION 229 LOCI 235 PARALLEL LINES AND PLANES 246 DIEDRAL ANGLES AND PROJECTIONS 257 POLYEDRAL ANGLES 270 PROJECTIONS 282 PRISMS AND PARALLELOPIPEDS 308 SIMILAR POLYEDRONS 326 REGULAR POLYEDRONS 335 GENERAL THEOREMS ON POLYEDRONS 345
 EXERCISES 463 BOOK III 469 BOOK V 476 202 486 MAXIMA AND MINIMA 491 235 492 SOME PROPERTIES OF CIRCLES 497 RADICAL AXIS AND COAXAL CIRCLES 504 POLES AND POLARS 511 PERSPECTIVE 515 INVOLUTION 523 239 529 CONSTRUCTIONS 538 345 539 Copyright

### Popular passages

Page 8 - CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Page 96 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Page 143 - If from a point without a circle a tangent and a secant be drawn, the tangent is a mean proportional between the whole secant and its external segment.
Page 178 - Two triangles which have an angle of one equal to the supplement of an angle of the other are to each other as the products of the sides including the supplementary angles.
Page 474 - The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles.
Page 3 - If the first of three quantities is greater than the second, and the second is greater than the third, then the first is greater than the third.
Page 391 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Page 213 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii or as the squares of their apothems.
Page 387 - Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other...
Page 94 - An angle formed by a tangent and a chord is measured by one-half its intercepted arc.