Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration. Accompanied with All the Necessary Logarithmic and Trigonometric Tables |
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Page 153
... vertex , taken together , constitute the lateral surface of the pyramid . The perpen- dicular distance from the vertex to the base is called its altitude . A VII . A pyramid is triangular , quadrilateral , pentagonal , etc ...
... vertex , taken together , constitute the lateral surface of the pyramid . The perpen- dicular distance from the vertex to the base is called its altitude . A VII . A pyramid is triangular , quadrilateral , pentagonal , etc ...
Page 174
... of the cone ; and the hypotenuse SB describes its convex surface . E C B A D The point S is named the vertex of the cone ; SA its axis , or Every section HKFI formed at right angles to the axis. altitude . SEVENTH BOOK Definitions.
... of the cone ; and the hypotenuse SB describes its convex surface . E C B A D The point S is named the vertex of the cone ; SA its axis , or Every section HKFI formed at right angles to the axis. altitude . SEVENTH BOOK Definitions.
Page 178
... vertex , and SA its slant height . Then will the convex surface of the cone have for its measure circ . OA × SA . For , conceive a regular polygon in- scribed in the circle OA ; and on this polygon , as a base , a pyramid having S B 8 ...
... vertex , and SA its slant height . Then will the convex surface of the cone have for its measure circ . OA × SA . For , conceive a regular polygon in- scribed in the circle OA ; and on this polygon , as a base , a pyramid having S B 8 ...
Page 200
... vertex A to the middle point D of the base , the two triangles ABD , ACD will have all the sides of the one respectively equal to the corresponding sides of the other , namely , AD common , BD = CD , and AB = AC ; hence , by the last ...
... vertex A to the middle point D of the base , the two triangles ABD , ACD will have all the sides of the one respectively equal to the corresponding sides of the other , namely , AD common , BD = CD , and AB = AC ; hence , by the last ...
Page 206
... vertex of the pyramid is , in like manner , compared with the polyedral angle at the vertex of the tri - rect- angular pyramid . These comparisons are founded on the coin- 206 GEOMETRY .
... vertex of the pyramid is , in like manner , compared with the polyedral angle at the vertex of the tri - rect- angular pyramid . These comparisons are founded on the coin- 206 GEOMETRY .
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Common terms and phrases
AB² ABCD altitude angles equal apothem base bisecting centre chord circle circumference circumscribed circle circumscribed polygon cone consequently corresponding cosec Cosine Cotang cubic cylinder decimal denote diameter dicular distance divided draw drawn equally distant equation exterior angles feet figure frustum GEOMETRY given angle given line gives greater half hence homologous hypotenuse inches included angle intersection logarithm measure middle point multiplied number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant quadrilateral radii radius ratio rectangle regular polygon respectively equal right angles right-angled triangle Scholium secant similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang Tangent THEOREM three sides triangle ABC volume