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ABCD acute adjacent altitude Apply approaches ARGUMENT base bisector bisects BOOK 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 extremities fall feet figure Find formed four geometric given circle given line given point greater hypotenuse inches included inscribed intercepted intersect isosceles triangle length less limit locus mean measure median meet method Note parallel parallelogram pass perimeter perpendicular Place plane polygon position PROBLEM prolonged proof Prop proportional PROPOSITION prove quadrilateral radii radius ratio REASONS rectangle regular polygon remain respectively right angles right triangle segments sides similar square straight line student tangent THEOREM trapezoid unequal unit variable vertex vertices
Σελίδα 281 - The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides.
Σελίδα 76 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Σελίδα 179 - For, if we have given ab' = a'b, then, dividing by bb', we obtain Corollary. The terms of a proportion may be written In any order which will make the product of the extremes equal to the product of the means.
Σελίδα 95 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.
Σελίδα 195 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. 3. In a right triangle the square of either leg is equal to the square of the hypotenuse minus the square of the other leg.
Σελίδα 13 - If two angles of a triangle are equal, the sides opposite are equal.
Σελίδα 96 - A line joining the midpoints of the non.parallel sides of a trapezoid is parallel to the base, and equal to half the sum of the bases.
Σελίδα 64 - ... if two triangles have two sides of one equal, respectively, to two sides of the other...