Solid GeometryMacmillan, 1913 - 107 σελίδες |
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
acute angle altitude altitude h angle formed Angle Sine angles are equal bisect circumference congruent Corollary corresponding cube diameter dicular dihedral angle distance drawn equal altitudes equal spheres equilateral EXERCISES face angles formula frustum gent Chord Arc given line given point Hence HINT hypotenuse inscribed lateral area lateral edges length lines are parallel locus lune whose angle measured number of sides parallel planes parallelogram perimeter perpen perpendicular to MN plane angles Plane Geometry plane MN plane perpendicular points equidistant polar triangle pole prove radii radius ratio rectangular parallelepiped regular polygons regular polyhedron regular pyramid respectively right angles right circular cone right prism right section right triangle segment Show similar slant height spherical degrees spherical excess spherical polygon spherical triangle square straight line surface tangent tetrahedron Theorem VII triangular prisms triangular pyramids trihedral truncated prism unequal V-ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα xxxv - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 303 - 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...
Σελίδα 222 - If two angles not in the same plane have their sides respectively parallel and lying on the same side of the straight line joining their vertices, they are equal, and their planes are parallel. Let the corresponding sides of angles A and A' in the planes MN and PQ be parallel, and lie on the same side of AA'.
Σελίδα 287 - THEOREM. Every section of a sphere, made by a plane, is a circle.
Σελίδα 224 - Theorem. —A line perpendicular to one of two parallel lines is perpendicular to the other.
Σελίδα 226 - V 678. // a straight line is perpendicular to a plane, every plane containing this line is perpendicular to the given plane.
Σελίδα 220 - If a line is perpendicular to each of two lines at their point of intersection, it is perpendicular to their plane. Given FB perpendicular at B to each of two straight lines AB and BC of the plane MN. To prove FB perpendicular to the plane MN.
Σελίδα 254 - A truncated pyramid is the portion of a pyramid included between the base and a plane not parallel to the base.
Σελίδα xlii - The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R.
Σελίδα 319 - The volumes of two spheres are to each other as the cubes of their radii, or as the cubes of their diameters.