The Elements of Solid Geometry: With Numerous Exercises
Ginn, 1893 - Geometry, Solid - 126 pages
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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 angular axis base edge becomes called centre circle circumscribed common cone cone of revolution conic considered constant Construction convex cube curve cylinder denote described determined diameter dihedral angles dimensions distance divided draw element ellipse equal equilateral equivalent expressed faces feet figure Find the volume fixed focus frustum given giving Hence hyperbola inches inscribed intersection lateral area lateral edges less limiting lune measure meet Notation opposite parabola parallel parallelopiped passed perpendicular polar pole polyhedral angle polyhedron prism Proof PROPOSITION prove pyramid pyramid cone pyramid whose base radii radius ratio rectangular regular respectively revolving right angles Scholium segment sides similar slant height solid sphere sphere surface spherical excess spherical polygon spherical triangle square straight line surface tangent tetrahedron THEOREM third total surface triangular trihedral unit upper vertex vertices zone
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 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 AP be perpendicular to the plane MN...
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 61 - A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism, and whose vertices are the three vertices of the inclined section.
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 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 49 - The volumes of two pyramids (cones) are to each other as the product of their bases and altitudes...
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...