## Solid Geometry, with Problems and Applications |

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Solid Geometry, with Problems and Applications H. E. 1861-1937 Slaught,N. J. 1874- Lennes No preview available - 2016 |

### Common terms and phrases

altitude applications approximately arcs axis base called chapter circle circumscribed common Compare cone congruent construct convex COROLLARY corresponding cross cube curve cylinder define Definitions determine diameter dihedral dimensions distance divided draw edges element equal EXERCISES face face angles feet figure Find fixed follows formed four frustum Geometry Give given given plane given point graph greater height Hence inches inclosed inscribed intersection lateral area length less limit locus manner means measure meet Note opposite parallel parallelopiped pass perimeter perpendicular placed plane polar triangle pole polyhedrons preceding prism PROBLEM projection Proof prove pyramid radius ratio regular relation respectively right angles right circular segment sequence side similar solid space sphere spherical triangle square straight line SUGGESTION surface symmetrical tangent tetrahedron THEOREM trihedral angles unit varies vertex vertices volume zone

### Popular passages

Page 44 - The volume of a triangular prism is equal to the product of its base by its altitude. A~ Let V denote the volume, B the base, and H the altitude of the triangular prism CEA-E'.

Page 12 - If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane.

Page 88 - The lateral area of a frustum of a right circular cone is one half the product of the slant height and the sum of the circumferences of the bases.

Page 35 - The lateral area of a prism is equal to the product of the perimeter of a right section and a lateral edge.

Page 115 - Every section of a sphere made by a plane is a circle. Given CBD, the intersection of plane MN, and a sphere whose center is 0.

Page 138 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. 2. Two triangles are congruent if two angles and the included side of one are equal respectively to two angles and the included side of the other.

Page 156 - Through a sphere whose diameter is 10 in. a cylindrical hole of 5 m. diameter is bored. Find the volume of the solid if the axis of the cylinder passes through the center of the sphere. Ex. 1251. The surface of a sphere is equivalent to the lateral surface of the circumscribed cylinder. Ex. 1252. Two bi.rectangular spherical triangles are equal if the oblique angles are equal. Ex. 1253. Find the ratio of a sphere to its circumscribed cube. Ex. 1254. The area of a zone on a sphere...

Page 130 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.

Page 38 - The square of a diagonal of a rectangular parallelopiped is equal to the sum of the squares of the three dimensions.

Page 31 - Given a point, A, between a circumference and a straight line. Through A, to draw a line terminated by the circumference and the given line, and bisected in A. Ex.