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 angles are equal B₁ B₂ base edge bisect called centre cone cylinder 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 height Find the volume focus frustum given lines given point Hence homologous lines hyperbola inscribed intersection isosceles lateral area lateral edges lateral faces lune M₁ major axis mid-section Notation parabola parallel planes perpen plane angle pole polyhedral angle prism cylinder prismatoid Proof pyramid cone pyramid whose base radii radius ratio rectangular parallelopiped regular pentagon regular polyhedron regular 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
Popular passages
Page 73 - 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 xii - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
Page 5 - 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 1 - 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 59 - 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 93 - The area of the surface generated by a straight line revolving about an axis in its plane, is equal to the...
Page 71 - 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 - 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 47 - The volumes of two pyramids (cones) are to each other as the product of their bases and altitudes...
Page 11 - 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...