# Elements of Plane and Solid Geometry

American Book Company, 1908 - Geometry - 384 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

 PLANE GEOMETRY 9 RECTILINEAR FIGURES 15 Incommensurable quantities 342 18 Problem 23 Interior angles 113 38 Inversion in proportion 419 46 ADDITIONAL EXERCISES 71 CIRCLES 79
 MEASUREMENT OF THE CIRCLE 220 Center of circle 19 223 Scalene triangle 18 228 Sector 343 238 ADDITIONAL EXERCISES 243 POINTS AND LINES IN SPACE 251 Commensurable quantities 342 271 ADDITIONAL EXERCISES 283

 ADDITIONAL EXERCISES 122 PROPORTIONS SIMILAR POLYGONS 129 Median of a triangle 173 140 Oblique angle 17 152 Quantities commensurable 342 163 ADDITIONAL EXERCISES 173 Parallel lines 107 176 AREAS OF POLYGONS 181 Radius 20 190 Ratio 340 196 Pentagon 152 198 ADDITIONAL EXERCISES 213 Pentedecagon 152 215
 Tangent circles and lines 306 ADDITIONAL EXERCISES 317 Theorem 22 337 ADDITIONAL EXERCISES 340 Polar 521 345 Decagon 152 347 Polygon 152 351 Variable 340 355 Vertical angles 75 376 ADDITIONAL EXERCISES 382 regular 152 384 Copyright

### Popular passages

Page 185 - Any two rectangles are to each other as the products of their bases by their altitudes.
Page 186 - The area of a rectangle is equal to the product of its base and altitude.
Page 161 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Page 53 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...
Page 201 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Page 11 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the center.
Page 61 - If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram.
Page 68 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Page 15 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Page 31 - If two triangles have three sides of the one equal respectively to three sides of the other, the triangles are equal in all -respects. Let ABC and DEF be two A, having AB = DE, BC = EF, and AC = DF. To Prove A ABC and DEF equal in all respects. Proof. Place A ABC...