# Elements of Geometry

Harper & brothers, 1897 - 354 páginas

### Contenido

 INTRODUCTION 3 PARALLEL LINES AND SYMMETRICAL FIGURES 15 TRIANGLES 30 PARALLELOGRAMS 53 BOOK II 62 MEASUREMENT 75 PROBLEMS OF DEMONSTRATION 87 PROBLEMS OF DEMONSTRATION 129
 DIEDRAL ANGLES 207 POLYEDRAL ANGLES 215 PROBLEMS OF DEMONSTRATION 221 PYRAMIDS 243 SIMILAR POLYEDRONS 257 PROBLEMS OF CONSTRUCTION 264 THE SPHERE 272 SPHERICAL ANGLES 278

 BOOK IV 135 PROBLEMS OF DEMONSTRATION 154 BOOK V 159 PROBLEMS OF DEMONSTRATION 182 PERPENDICULAR AND OBLIQUE LINES AND PLANES 189 PARALLEL LINES AND PLANES 196
 POLAR TRIANGLES 287 MEASUREMENT OF SPHERICAL FIGURES 293 PROBLEMS OF DEMONSTRATION 300 PROBLEMS OF DEMONSTRATION 330 TABLE OF WEIGHTS AND MEASURES 345 CONSTRUCTIONS 353

### Pasajes populares

Página 170 - 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.
Página 204 - If a line is perpendicular to one of two parallel lines, it is perpendicular to the other also.
Página 106 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Página 5 - 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.
Página 82 - An angle formed by a tangent and a chord is measured by one-half its intercepted arc.
Página 73 - A line perpendicular to a radius at its extremity is tangent to the circle.
Página 177 - C and area S. To PROVE S — ^RxC. Circumscribe a regular polygon and call its perimeter C' and area S'. Then S
Página 285 - 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...
Página 45 - If, from a point within a triangle, two straight lines are drawn to the extremities of either side, their sum will be less than the sum of the other two sides of the triangle.
Página 83 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.