# Plane and Solid Geometry: Inductive Method

Press of Hudson-Kimberly Publishing Company, 1898 - Geometry - 406 pages
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### Contents

 Problems 110 Measurement Ratio 113 Limits 129 Proportional Lines 135 Similar Figures Problems 141 Exercises Problems 161 AREAS 167 Relations of Homologous Parts of Similar Figures 179 Triangles Areas 185 Moulding of Polygons Exercises 199 Problems 209
 Pyramids 289 Regular Polyedrons Problems Eulers Theorem 308 The Cylinder 316 The Cone 328 The Sphere 340 Spherical Angles and Polygons 353 Spherical Measurements 368 Exercises 381 Tables of Denominate Numbers 388 Index 399 Copyright

### Popular passages

Page 386 - Measures of Length 10 millimeters (mm.) = 1 centimeter (cm.) 10 centimeters = 1 decimeter (dm.) 10 decimeters = 1 meter (m.) 10 meters = 1 dekameter (Dm.) 10 dekameters = 1 hektometer (Hm.) 10 hektometers = 1 kilometer (Km.) 10 kilometers = 1 myriameter (Mm.) Measures of Surface 100 sq.
Page 389 - CUBIC MEASURE 1728 cubic inches (cu. in.) = 1 cubic foot (cu. ft.) 27 cubic feet = 1 cubic yard (cu. yd.) 128 cubic feet = 1 cord (cd...
Page 124 - Proposition 7. 289. ff four quantities are in proportion, they are in proportion by composition and division; that is, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Page 229 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Page 20 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Page 231 - Prove that the area of a triangle is equal to half the product of its perimeter by the radius of the inscribed circle.
Page 306 - If a pyramid is cut by a plane parallel to its base, the...
Page 387 - OF WEIGHT 10 milligrams (mg.) = 1 centigram (eg.) 10 centigrams = 1 decigram (dg.) 10 decigrams = 1 gram (g.) 10 grams = 1 dekagram (Dg...
Page 376 - S7rR = 4WR1. (789) Therefore, the area of the surface of a sphere is equal to the area of four great circles. 791. COR. 2. TJie areas of the surfaces of two spheres are to each other as the squares of their radii, or as the squares of their diameters.
Page 230 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...