The Elements of GeometryLeach, Shewell, and Sanborn, 1886 - 371 pàgines |
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Frases i termes més freqüents
ABCD ABDC allel axis base and altitude bases multiplied bisect centre circle circular cone circumference circumscribed coincide cone of revolution COROLLARY cube cylinder diagonals dicular diedral angles dimensions distance equal and parallel equally distant equilateral triangles equivalent bases face angles frustum generatrix Hence homologous edges inscribed intersection lateral area lateral edges lateral faces lateral surface Let the plane lower base lune mutually equiangular O-ABC octaedron parallel planes parallelogram perimeter perpen perpendicular to MN plane angles plane determined plane MN plane PQ polar triangle prism is equal PROPOSITION radius rectangles rectangular parallelopiped regular polygon regular pyramid right angles right prism right section SCHOLIUM similar polyedrons slant height sphere spherical angle spherical polygon spherical triangle squares straight line drawn symmetrical THEOREM triangle ABC triangular prism triangular pyramid triedral truncated upper base vertex vertices Whence
Passatges populars
Pàgina 323 - 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.
Pàgina 315 - A Sphere is a solid bounded by a curved surface all points of which are equally distant from a point within called the centre.
Pàgina 324 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The...
Pàgina 349 - The lateral or total areas of two similar cones of revolution are to each other as the squares of their slant heights...
Pàgina 252 - The projection of a point on a plane is the foot of the perpendicular from the point to the plane.
Pàgina 330 - Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other...
Pàgina 326 - If from the vertices of a spherical triangle as poles arcs of great circles are described, another spherical triangle is formed which is called the polar triangle of the first.
Pàgina 334 - ADC ; the last two are therefore right angles ; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is perpendicular to the base, and bisects the vertical angle.
Pàgina 244 - If two planes are perpendicular to each other, a straight line drawn in one of them, perpendicular to their intersection, is perpendicular to the other.
Pàgina 279 - DEF. The slant height of a regular pyramid is the altitude of any one of the lateral faces.