Plane and Solid Geometry: Suggestive Method

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Atkinson, Mentzer & Grover, 1894 - Geometry - 389 pages
 

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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 80 - A circle is a portion of a plane bounded by a curved line, all points of which are equally distant from a point within called the centre.
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.
Page 186 - ... 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.

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