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ABCD altitude angles are equal approaches axis base bisected called centre chord circle circumference circumscribed coincide common cone construct contains corresponding cylinder describe diagonals diameter diedral angles difference distance divided draw drawn equal equivalent Exercise Exercise.-The figure Find formed four frustum given given line given point greater half Hence homologous hypotenuse included indefinitely inscribed intersection joining lateral area lateral edges lateral faces length less limit mean measured meet method opposite parallel parallelogram parallelopiped passed perimeter perpendicular plane polyedral angles polyedron polygon prism proportional PROPOSITION PROVE pyramid radii radius ratio rectangle regular regular polygon respectively right angles right triangle segment sides similar sphere spherical triangle square straight line surface symmetrical tangent THEOREM third triangle triangle ABC triangular turns unit vertex vertices volume zone
Page 170 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii or as the squares of their apothems.
Page 106 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Page 5 - If the first of three quantities is greater than the second, and the second is greater than the third, then the first is greater than the third.
Page 82 - An angle formed by a tangent and a chord is measured by one-half its intercepted arc.
Page 73 - A line perpendicular to a radius at its extremity is tangent to the circle.
Page 177 - C and area S. To PROVE S — ^RxC. Circumscribe a regular polygon and call its perimeter C' and area S'. Then S
Page 285 - Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other...
Page 45 - If, from a point within a triangle, two straight lines are drawn to the extremities of either side, their sum will be less than the sum of the other two sides of the triangle.