The Elements of Solid Geometry: With Numerous Exercises |
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The Elements of Solid Geometry. With Numerous Exercises Arthur Latham Baker No preview available - 2017 |
Common terms and phrases
altitude Analysis auxiliary circle B₁ B₂ base edge called centre circumscribed cone of revolution conic section Construction convex cube curve cutting plane diagonals diameter dicular dihedral angles directrix distance ellipse equally distant equilateral equivalent face angles feet Find the volume focus frustum given line given point Hence hyperbola inscribed intersection isosceles lateral area lateral edges lateral faces lune M₁ mid-section Notation parabola parallel planes perpen perpendicular plane angle pole polyhedral angle prism cylinder prismatoid Proof PROPOSITION pyramid cone pyramid whose base radii radius ratio rectangular parallelopiped regular pentagon regular polyhedron regular pyramid regular square pyramid revolving right angles right circular cone right prism Scholium segment sides slant height sphere spherical degrees spherical excess spherical polygon spherical surface spherical triangle straight line symmetrical tangent tetrahedron THEOREM total surface triangular prism triangular pyramid trihedral upper base vertex vertices zone
Popular passages
Page 75 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 2 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
Page 3 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Page 7 - If from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line of the plane, and its intersection with that line is joined to any point of the perpendicular, this last line will be perpendicular to the line of the plane. Let...
Page 95 - The area of the surface generated by a straight line revolving about an axis in its plane, is equal to the...
Page 73 - The volume of a triangular prism is equal to the product of the area of a lateral face by one-half the perpendicular distance of that face from the opposite edge.
Page 85 - A spherical angle is measured by the arc of a great circle described from its vertex as a pole and included between its sides (produced if necessary). Let AB, AC be arcs of great circles intersecting at A; AB...
Page 87 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Page 97 - 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 13 - If two angles, not in the same plane, have their sides respectively parallel and lying in the same direction, they are equal and their planes are parallel. Let BA C,B'A...