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ABCD altitude approach the limit axis base bisector bisects Book called centre chord circle circumference circumscribed coincide common cone construct cylinder describe diagonals diameter diedral distance divided Draw line drawn equal equally distant equilateral equivalent EXERCISES extremities faces fall figure Find follows frustum Given Given line given point greater Hence homologous hypotenuse included inscribed intersecting isosceles lateral area length lies manner measured meet middle point multiplied opposite parallel parallelogram passing perimeter perpendicular plane polygon prism PROBLEM produced Proof PROP proportional Prove pyramid quadrilateral radii radius rectangle regular Required respectively right angles segment sides similar solid sphere spherical square straight line surface tangent THEOREM triangle triangle ABC unit vertex vertices volume Whence
Σελίδα 371 - A zone is a portion of the surface of a sphere included between two parallel planes.
Σελίδα 261 - The projection of a point on a plane is the foot of the perpendicular drawn from the point to the plane.
Σελίδα 336 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The...
Σελίδα 73 - A chord is a straight line joining the extremities of an arc ; as AB.
Σελίδα 328 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 205 - S' denote the areas of two © whose radii are R and R', and diameters D and D', respectively. Then, | = "* § = ££ = £• <§337> That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.
Σελίδα 170 - 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.
Σελίδα 224 - The perpendiculars from the vertices of a triangle to the opposite sides are the bisectors of the angles of the triangle formed by joining the feet of the perpendiculars.