# Plane and Solid Geometry

American Book Company, 1912 - Geometry - 488 pages
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### Contents

 RECTILINEAR FIGURES 19 25 44 32 68 Quadrilaterals 84 Concurrent Line Theorems 100 Construction of Triangles 106 THE CIRCLE 113 PROPORTION AND SIMILAR FIGURES 161
 FORMULAS OF PLANE GEOMETRY 282 SOLID GEOMETRY 299 BOOK VII 343 CYLINDERS AND CONES 383 BOOK IX 417 Volumes 448 Miscellaneous Exercises on Solid Geometry 467 APPENDIX TO SOLID GEOMETRY 474

 Miscellaneous Exercises 206 BOOK V 245

### Popular passages

Page 281 - ... that the bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides.
Page 76 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Page 232 - Prove that the square described on the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides.
Page 179 - For, if we have given ab' = a'b, then, dividing by bb', we obtain Corollary. The terms of a proportion may be written In any order which will make the product of the extremes equal to the product of the means.
Page 455 - 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 397 - The lateral area of a cylinder is equal to the product of the perimeter of a right section of the cylinder by an element. Hyp. S is the lateral area, P the perimeter of a right .section, and E an element of the cylinder AK; S...
Page 449 - The area of a zone is equal to the product of its altitude and the circumference of a great circle.
Page 195 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. 3. In a right triangle the square of either leg is equal to the square of the hypotenuse minus the square of the other leg.
Page 83 - How many sides has a polygon, the sum of whose interior angles is equal to the sum of its exterior angles ? 51.
Page 12 - LET it be granted that a straight line may be drawn from any one point to any other point.