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ABCD acute angle adjacent altitude angles are equal apothem Apply approach arcs Auth base bisector centre chord circle circumference circumscribed coincides Compare Conclusion construct Converse of Theo Corollary corresponding Definition diagonals diameter direction distances divided Draw drawn equal angles equal circles equals the ratio equals two right equivalent EXERCISES exterior angle extremities figures Find follows regarding formed four given line greater homologous hypotenuse included inscribed interior intersect isosceles triangle limit lines are cut locus measured meeting method middle point Note number of sides parallel lines parallelogram perimeters perpendicular Problem proof Prop proportion prove quantities radii radius rect rectangle regular polygon respectively right angles right triangle secant segments similar square straight line subtended suggestions tangent Theo THEOREM THEOREM VIII third transversal unequal vertex vertical
Page 92 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Page 115 - If two triangles have two sides of one equal to two sides of the other but the third side of the first greater than the thin!
Page 12 - If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent.
Page 76 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Page 73 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Page 3 - 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 113 - If two straight lines in a plane meet another straight line in the plane so that the sum of the interior angles on the same side of the latter straight line is less than two right angles...
Page 77 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.