## The Essentials of Geometry (solid) |

### From inside the book

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Page 289

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**frustum**of a pyramid is a trun- cated pyramid whose bases are parallel . The altitude is the perpendicular distance between the planes of the bases . EXERCISES . 4 15. Find the length of the diagonal of a rectangular parallelopiped ... Page 290

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**frustum**of a regular pyramid are equal trapezoids . D ' B ' E B Given AC ' a**frustum**of regular pyramid O - ABCDE . To Prove faces AB ' and BC ' equal trapezoids . Proof . We have AOAB = = A OBC . ( § 507 , II ) We may then apply △ OAB ... Page 291

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**frustum**of a regular pyramid are equal . 511. Def . The slant height of a**frustum**of a regular pyramid is the altitude of any lateral face . PROP . XVI . THEOREM . 512. The lateral area of a regular pyramid is equal to the perimeter of ... Page 299

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**frustum**of a pyramid is equal to the sum of its bases and a mean proportional between its bases , multiplied by one - third its altitude . A ' B H P B Given B the area of the lower base , b the area of the upper base , and H the ... Page 301

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**frustum**of a regular quadrangular pyramid , the sides of whose bases are 17 and 7 , respectively , and whose altitude is 12 . Let ABB'A ' be a lateral face of the**frustum**, and O and O ' the centres of the bases ; draw lines OCL AB , O ...### Other editions - View all

### 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