Solid Geometry |
Other editions - View all
Solid Geometry Herbert Edwin Hawkes,William Arthur Luby,Frank Charles Touton No preview available - 2015 |
Common terms and phrases
altitude angles are equal axis bisects called coincide cone of revolution congruent conical surface Construct a line Corollary corresponding cube curve cylinder of revolution Denote diameter dihedral angle distance equidistant EXERCISES face angles feet Find the volume formed frustum given plane given point Hence HINT inscribed intersecting lines isosceles lateral area lateral edges lateral faces line is perpendicular line-segment locus of points meet parallel planes parallelepiped parallelogram Pass a plane Pass the plane perimeter plane angles plane determined plane geometry plane parallel planes cut polar triangle pole polygon polyhedral angle prism prismatoid projection Proof prove QUERY radii radius ratio rectangle rectangular solid regular polyhedrons regular pyramid right angles right circular cone sides similar skew lines slant height spherical cone spherical degrees spherical geometry spherical polygon spherical triangle straight line symmetric tangent Theorem total area triangular trihedral upper base vertex vertices 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.