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ABCD altitude angle axis base bisector bisects called centre chord circle circumference circumscribed coincide common cone construct contained curve cylinder denote describe diagonals diameter difference dihedral angles distance divide draw drawn edges ellipse equal equidistant equilateral equivalent exterior extremities faces fall feet figure Find formed four frustum given point greater height Hence homologous hypotenuse inches included indefinitely inscribed intersection isosceles joining lateral legs length less limit measured meet middle point opposite parallel parallelogram pass perimeter perpendicular plane polygon polyhedron prism PROBLEM Proof proportional PROPOSITION prove pyramid radii radius ratio rectangle regular polygon respectively right angle segment sides similar solid sphere spherical square straight line Suppose surface tangent THEOREM third touches triangle unit vertex vertices volume
Страница 96 - Any two sides of a triangle are together greater than the third side.
Страница 187 - Two triangles having 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.
Страница 64 - The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES.
Страница 141 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Страница 134 - If four quantities are in proportion, they are in proportion by composition; that is, the sum of the first two terms is to the second term as the sum of the last two terms is to the fourth term.
Страница 296 - The frustum of a triangular pyramid is equivalent to the sum of three pyramids whose common altitude is the altitude of the frustum and whose bases are the lower base, the upper base, and a mean proportional between the two bases of the frustum.
Страница 344 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the...
Страница 395 - Show that the locus of a point which moves so that the sum of its distances from two h'xed straight lines is constant is a straight line.