## Solid Geometry |

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Solid Geometry Herbert Edwin Hawkes,William Arthur Luby,Frank Charles Touton No preview available - 2015 |

### Common terms and phrases

adjacent altitude Apply arranged axis base called circle coincide common cone congruent Construct Construct a line containing Corollary corresponding cube cubic curve cylinder Denote determined diameter dihedral angle distance divided Draw drawn edges element equal equidistant EXERCISES feet figure Find foot formed four frustum geometry given plane given point half Hence Illustrate inches inscribed intersection lateral area lateral edges lateral faces length lies line is perpendicular locus of points measure meet necessarily Note opposite parallel planes parallelepiped parallelogram perimeter perpendicular plane geometry polar pole polygon polyhedron prism projection Proof prove pyramid QUERY radius ratio rectangle rectangular solid relation respectively right angles right circular cone segment sides similar slant height solid space sphere spherical triangle square straight line surface symmetric tangent tetrahedron Theorem third trihedral vertex vertices volume zone

### Popular passages

Page 300 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.

Page 298 - ... if two triangles have two sides of one equal, respectively, to two sides of the other...

Page 298 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.

Page 300 - If a perpendicular is drawn from the vertex of the right angle to the hypotenuse of a right triangle...

Page 389 - If a pyramid is cut by a plane parallel to the base, (a) The altitude and the lateral edges are divided proportionally; (b) The section is a polygon similar to the base. Given the pyramid V-ABCDE cut by a plane A'D

Page 296 - If two sides and the included angle of one triangle are equal respectively to two sides and the included angle of another triangle, then the triangles are congruent.

Page 298 - A line joining the midpoints of the non.parallel sides of a trapezoid is parallel to the base, and equal to half the sum of the bases.

Page 351 - The acute angle which a straight line makes with its projection upon a plane is the least angle which it makes with any line of the plane.

Page 343 - If two planes are perpendicular to each other, a line drawn in one of them perpendicular to their intersection is perpendicular to the other.

Page 399 - A regular pyramid is one whose base is a regular polygon and whose vertex lies in the perpendicular erected at the center of the base.