The Essentials of Geometry (solid) |
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Page 274
... lateral faces ; the edges which are not sides of the bases are called the lateral edges , and the sum of the areas of the lateral faces the lateral area . The altitude is the perpendicular distance between the planes of the bases . 467 ...
... lateral faces ; the edges which are not sides of the bases are called the lateral edges , and the sum of the areas of the lateral faces the lateral area . The altitude is the perpendicular distance between the planes of the bases . 467 ...
Page 275
... lateral edges , and perpendicular to them . 474. A parallelopiped is a prism whose bases are parallelograms ; that is , all the faces are parallelograms . A right parallelopiped is a parallelopiped whose lateral edges are ...
... lateral edges , and perpendicular to them . 474. A parallelopiped is a prism whose bases are parallelograms ; that is , all the faces are parallelograms . A right parallelopiped is a parallelopiped whose lateral edges are ...
Page 276
... vertices A ' , B ' , C " , D ' , E ' , G ' , F " , and L ' shall fall at A , B , C , D , E , G , F , and L , respectively . Now since the lateral edges of the prisms are , edge C'H ' will fall on CH , D'K ' on DK , etc. ( § 53 ) And ...
... vertices A ' , B ' , C " , D ' , E ' , G ' , F " , and L ' shall fall at A , B , C , D , E , G , F , and L , respectively . Now since the lateral edges of the prisms are , edge C'H ' will fall on CH , D'K ' on DK , etc. ( § 53 ) And ...
Page 277
... lateral edge of the oblique prism . Ľ G E ' H ' B C ' L F G K E H B C Given FK ' a right prism , having for its base FK a right section of oblique prism AD ' , and its altitude FF " equal to AA ' , a lateral edge of AD ' . To Prove AD ...
... lateral edge of the oblique prism . Ľ G E ' H ' B C ' L F G K E H B C Given FK ' a right prism , having for its base FK a right section of oblique prism AD ' , and its altitude FF " equal to AA ' , a lateral edge of AD ' . To Prove AD ...
Page 278
Webster Wells. PROP . IV . THEOREM . 481. The opposite lateral faces of a parallelopiped are equal and ... edges of a parallelopiped divides it into two equivalent trian- gular prisms . D ' H B Given plane AC ' passing through edges ...
Webster Wells. PROP . IV . THEOREM . 481. The opposite lateral faces of a parallelopiped are equal and ... edges of a parallelopiped divides it into two equivalent trian- gular prisms . D ' H B Given plane AC ' passing through edges ...
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Common terms and phrases
ABCD Algebra altitude approaches the limit area ABC axis bisecting centre cents circle circular cone circular cylinder circumference circumscribed cone of revolution conical surface convex polyedron cube cylinder of revolution diameter diedral angle distance Draw lines entire surface equal parts occur equal spheres equally distant Find the area Find the volume frustum Geometry Given line given point homologous inscribed intersection lateral area lateral edges lateral faces lateral surface line drawn lune O-ABC parallel planes perimeter perpendicular plane determined Plane Geometry plane MN pole polyedral angle proof is left PROP Prove pupil radii radius rectangular parallelopiped regular polygon respectively sector sides slant height solid Solid Geometry spherical angle spherical polygon spherical pyramid spherical triangle straight line tangent tetraedron THEOREM total surface tri-rectangular triangular prism triedral vertex vertices Wells's Whence