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 37 135 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 231 - 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 388 - 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 126 - 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 391 - Square Measure 144 square inches (sq. in.) = 1 square foot (sq. ft.) 9 square feet = 1 square yard (sq. yd.) 30| square yards = 1 square rod (sq. rd.) 160 square rods = 1 acre (A.) 640 acres = 1 square mile (sq. mi.) Cubic Measure 1728 cubic inches (cu.
Page 33 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center. The curve which bounds the circle is called the circumference Any portion of the circumference is called an arc.
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 233 - Prove that the area of a triangle is equal to half the product of its perimeter by the radius of the inscribed circle.
Page 390 - Length 12 inches (in.) = 1 foot (ft.) 3 feet = 1 yard (yd.) 5| yards, or 16| feet = 1 rod (rd.) 320 rods, or 5280 feet = 1 mile (mi.) Square Measure 144 square inches (sq.
Page 308 - If a pyramid is cut by a plane parallel to its base, the...
Page 391 - 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...