# Solid Geometry

Scott, Foresman, 1918 - Geometry, Solid - 177 pages
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### Contents

 STRAIGHT LINES AND PLANES 277 Lines and Planes Parallel 283 Projections 293 Polyedral Angles 302 General Exercises 310 Areas of Prisms and Cylinders 319 Parallelepipeds 326 Similar Prisms and Cylinders 336
 Similar Pyramids and Cones 365 Polyedrons 373 General Exercises 379 General Properties 381 Relative Positions of Spheres 392 Volume of a Sphere 400 Spherical Angles 407 Polar Triangles 415

 PYRAMIDS AND CONES 343 Areas of Pyramids and Cones 349 Volumes of Pyramids and Cones 357
 General Exercises 425 Index 447 Copyright

### Popular passages

Page 434 - 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 355 - The lateral area of a frustum of a right circular cone is equal to one half the product of its slant height and the sum of the circumferences of its bases.
Page 439 - Two triangles which have an angle of one equal to the supplement of an angle of the other are to each other as the products of the sides including the supplementary angles.
Page 319 - The lateral area of a prism is equal to the product of the perimeter of a right section of the prism by a lateral edge. Let AD...
Page 395 - The 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 294 - The acute angle which a straight line makes with its projection upon a plane is the least angle which it makes with any line of the plane.
Page 292 - If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to that plane. Let AB, A'B', be parallel lines, and let n s' AB be perpendicular to the plane MN; then, A'B
Page 432 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Page 293 - The projection of a point upon a plane is the foot of the perpendicular from the point to the plane.
Page 435 - If two triangles have two sides of 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.