# Elements of Plane and Solid Geometry

American Book Company, 1903 - Geometry - 384 pages
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### Contents

 PLANE GEOMETRY 9 Adjacent angles 15 Problem 23 PROPORTIONS SIMILAR POLYGONS 30 7 42 MEASUREMENT OF THE CIRCLE 64 Angles adjacent 15 79 Lines parallel 107
 Quantities commensurable 342 179 Radius 20 190 Ratio 340 196 Regular polygon 707 220 Antecedents in proportion 404 Corollary 25 223 Arc 21 230 INDEX OF MATHEMATICAL TERMS 248 Pole 521 285

 Equivalent polygons 561 113 External division 506 129 Hexagon 152 Quadrant 346 165 Homologous angles 544 168 Hypotenuse 43 178
 Rhomboid 194 298 CYLINDERS AND CONES 320 Axiom 27 323 Interior angles 113 331 THE SPHERE 342 Copyright

### Popular passages

Page 185 - Any two rectangles are to each other as the products of their bases by their altitudes.
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 178 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
Page 68 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Page 186 - The area of a rectangle is equal to the product of its base and altitude.
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 72 - The lines joining the middle points of the opposite sides of a quadrilateral bisect each other.
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 17 - If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent.