Elements of Plane and Solid GeometryGinn, Heath, & Company, 1885 - 398 σελίδες |
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Σελίδα viii
... PYRAMIDS SIMILAR POLYHEDRONS REGULAR POLYHEDRONS SUPPLEMENTARY PROPOSITIONS CYLINDERS CONES 286 302 317 322 326 328 339 BOOK VIII . THE SPHERE . SECTIONS AND TANGENTS 349 • DISTANCES ON THE SURFACE OF THE SPHERE 356 SPHERICAL ANGLES ...
... PYRAMIDS SIMILAR POLYHEDRONS REGULAR POLYHEDRONS SUPPLEMENTARY PROPOSITIONS CYLINDERS CONES 286 302 317 322 326 328 339 BOOK VIII . THE SPHERE . SECTIONS AND TANGENTS 349 • DISTANCES ON THE SURFACE OF THE SPHERE 356 SPHERICAL ANGLES ...
Σελίδα 301
... - dent that any straight line drawn through the point and terminated by two opposite faces of the parallelopiped is bisected at that point . Hence O is the centre of symmetry . ON PYRAMIDS . 548. DEF . A Pyramid is a PRISMS . 301.
... - dent that any straight line drawn through the point and terminated by two opposite faces of the parallelopiped is bisected at that point . Hence O is the centre of symmetry . ON PYRAMIDS . 548. DEF . A Pyramid is a PRISMS . 301.
Σελίδα 302
George Albert Wentworth. ON PYRAMIDS . 548. DEF . A Pyramid is a polyhedron one of whose faces is a polygon , and whose other faces are triangles having a com- mon vertex and ... pyramid is a pyramid whose 302 GEOMETRY . BOOK VII . PYRAMIDS.
George Albert Wentworth. ON PYRAMIDS . 548. DEF . A Pyramid is a polyhedron one of whose faces is a polygon , and whose other faces are triangles having a com- mon vertex and ... pyramid is a pyramid whose 302 GEOMETRY . BOOK VII . PYRAMIDS.
Σελίδα 303
George Albert Wentworth. 556. DEF . A Regular pyramid is a pyramid whose base is a regular polygon , and whose vertex ... pyramid be PYRAMIDS . 303.
George Albert Wentworth. 556. DEF . A Regular pyramid is a pyramid whose base is a regular polygon , and whose vertex ... pyramid be PYRAMIDS . 303.
Σελίδα 304
... pyramid V - A B C D E , whose altitude is VO , be cut by a plane a b c d e parallel to its base , in- tersecting the lateral edges in the points a , b , c , d , e , and the altitude in o . We are to prove I. Va = V b VA V B = Vo ; VO II ...
... pyramid V - A B C D E , whose altitude is VO , be cut by a plane a b c d e parallel to its base , in- tersecting the lateral edges in the points a , b , c , d , e , and the altitude in o . We are to prove I. Va = V b VA V B = Vo ; VO II ...
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AABC ABCD altitude apothem arc A B axis base and altitude centre centre of symmetry chord circumference circumscribed coincide cone of revolution conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided draw equal respectively equally distant equilateral equivalent frustum given point Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let A B Let ABC line A B measured by arc middle point number of sides opposite parallel lines parallelogram parallelopiped pass perimeter perpendicular plane MN polyhedral angle prove Q. E. D. PROPOSITION radii ratio rect rectangles regular inscribed regular polygon right angles right section S-ABC SCHOLIUM similar polygons slant height sphere spherical angle spherical polygon spherical triangle straight line drawn surface tangent tetrahedron THEOREM trihedral upper base vertex vertices volume