## Solid Geometry Developed by the Syllabus Method |

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Solid Geometry Developed by the Syllabus Method Eugene Randolph Smith,William H. B. 1863 Metzler No preview available - 2016 |

### Common terms and phrases

altitude axis base bounded called circle circular cylinder circumference circumscribed coincide common congruent considered construct contains converse corresponding cube cylinder determine diagonal diameter difference dihedral angle distance draw drawn edge element entire equal equidistant equivalent faces figure Find Find the volume follows formula four frustum geometry given plane given point greater height included inscribed intersecting lines lateral lateral area length less limit lune mean measure meet method non-coplanar oblique opposite pair parallel planes parallelepiped parallelogram passed placed plane geometry plane parallel plane perpendicular pole polyhedral angle polyhedron position possible prism projection proof proportional propositions prove pyramid radii radius ratio regular respectively right circular cone sects shown sides similar solid solid geometry space sphere spherical polygon spherical triangle square straight line surface symmetric tangent tetrahedron Theorem third true vertex vertices volume zone

### Popular passages

Page 343 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...

Page 251 - A straight line perpendicular to one of two parallel planes is perpendicular to the other also.

Page 329 - The sum of the sides of any spherical polygon is less than the circumference of a great circle.

Page 288 - Two rectangular parallelepipeds are to each other as the products of their three dimensions.

Page 297 - Every section of a circular cone made by a plane parallel to the base is a circle.

Page 298 - 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 398 - Bh where B is the area of the base and h is the height.

Page 260 - The acute angle which a straight line makes with its own projection upon a plane is the least angle it makes with any line of that plane.

Page 389 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.

Page 267 - Find the locus of a point such that the difference of the squares of its distances from two given points is equal to a given constant k-.