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angle POQ AP and CQ arc BC arcs CD breadth or thickness called a common called a line called a surface center subtended centers is related circles intersect circles is called common chord common internal tangent Common Tangents CQ are parallel cut the line-segment diameter BD diameter perpen dicular Draw OA Proposition drawn through four EXERCISE 29 EXERCISE 30 Describe face is called figure CF four points geometric plane geometric solid hexagon here shown hold for four intersecting circles joining the centers limited portion line of centers line-segment equal line-segment greater line-segment joining line-segment less meeting a third nearer and nearer nearer to representing opposite sides equals parallel chords DB parallel tangents meeting perpendicular bisector physical solid portion of space prove that 00 quadrilateral radii side tangent simply the boundary solid shown straight angle straight edge sum but greater Theorem 195 thickness is called third tangent QP
Side 7 - The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it.
Side 7 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Side 108 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Side 32 - In the same circle or in equal circles, if two chords are unequally distant from the center, they are unequal, and the chord at the less distance is the greater.
Side 83 - If the product of two quantities is equal to the product of two others, either two may be made the extremes of a proportion in which the other two are made the means.
Side 8 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...
Side 7 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.