American Book Company, 1911 - Geometry, Modern - 303 pages
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Common terms and phrases
ABCD acute adjacent altitude Apply approaches ARGUMENT REASONS base bisector bisects called chord circle circumference circumscribed common Construct Construct a triangle contained converse diagonals diameter difference discussion distance divided Draw drawn ends equal equilateral triangle equivalent exercise exterior angles feet figure Find formed four geometric given circle given line given point greater hypotenuse inches included inscribed intercepted intersect isosceles triangle joining length less limit locus mean measure median meet method mid-points Note parallel parallelogram passes perimeter perpendicular Place plane polygon position PROBLEM prolonged proof Prop proportional PROPOSITION prove quadrilateral radius ratio REASONS rectangle regular polygon remain respectively right angles right triangle segments sides similar square straight line student surface tangent THEOREM trapezoid unequal unit variable vertex vertices
Page 281 - The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides.
Page 184 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Page 5 - LET it be granted that a straight line may be drawn from any one point to any other point.
Page 232 - 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 268 - S' denote the areas of two circles, R and R' their radii, and D and D' their diameters. Then, I . 5*1 = =»!. That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.
Page 13 - If two angles of a triangle are equal, the sides opposite are equal.
Page 62 - If two triangles have two sides of one equal, respectively, to two sides of the other...
Page 28 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.
Page 226 - Two triangles which have an angle of one equal to the supplement of an angle of the other are to each other as the products of the sides including the supplementary angles.
Page 76 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.