## The Essentials of Geometry (solid) |

### From inside the book

Results 1-5 of 43

Page 274

... lateral edges , and the sum of the areas of the lateral faces 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. The following is given for convenience of reference : The bases of a ... Page 279

...

...

**lateral area**of a prism is equal to the perimeter of a right section multiplied by a lateral edge . D G B ' H G B Given DEFGH a right section of prism AC " . To Prove lat . area AC ' = ( DE + EF + etc. ) × AA ' . Proof . We have , AA ... Page 280

Webster Wells. 485. Cor . The

Webster Wells. 485. Cor . The

**lateral area**of a right prism is equal to the perimeter of the base multiplied by the altitude . PROP . VII . THEOREM . 486. Two rectangular parallelopipeds having equal bases are to each other as their ... Page 287

... area ABCD × AE ( § 497 ) = area ABC × AE . ( § 108 ) EXERCISES . 12. Find the

... area ABCD × AE ( § 497 ) = area ABC × AE . ( § 108 ) EXERCISES . 12. Find the

**lateral area**and volume of a regular triangular prism , each side of whose base is 5 , and whose altitude is 8 . 13. The square of a diagonal of a rectangular ... Page 288

... lateral edges and the corresponding diagonals of the base . The volume of each triangular prism is equal to the prod ...

... lateral edges and the corresponding diagonals of the base . The volume of each triangular prism is equal to the prod ...

**lateral area**and volume of a regular hexagonal prism , each side of whose base is 3 , and whose altitude is 9 ...### 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