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A B C adjacent altitude approaches base bisects chord circle circumference circumscribed common Compare Complete cone Connect construct contains COROLLARY cylinder definition demonstration determine diagonal diameter dihedral angle distance divided Draw drawn edges equal expressed extended extremities faces feet figure Find four frustum geometry Give auth given line given point greater Hence inches inscribed intercepted intersect joining less Let A B limit locus magnitude means meet method opposite parallel parallel lines parallelogram passes perimeter perpendicular Place plane polygon portion possible prism Problem proportion PROPOSITION prove pyramid quantities QUERY radius ratio rectangle relation remaining represent respectively right angles segment sides similar sphere spherical triangle square straight line Suggestion surface sustain tangent Theorem triangle unequal unit of measure variable vertex vertices volume zero
Page 85 - The locus of a point at a given distance from a given point is the circumference described from the point with the given distance as radius.
Page 142 - Both terms of a fraction may be multiplied by the same number without changing the value of the fraction.
Page 190 - In any right-angled triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides.
Page 58 - If two angles of a triangle are unequal, the sides opposite them are unequal and the greater side is opposite the greater angle.
Page 198 - If the vertices of a regular inscribed polygon are joined with the middle points of the arcs subtended by the sides of the polygon, the joining lines will form a regular inscribed polygon of double the number of sides.
Page 67 - If two triangles have two sides of one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side.
Page 26 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal.
Page 34 - If the sum of two adjacent angles is equal to two right angles, the exterior arms of the angles are in the same straight line.