New Plane Geometry

D. C. Heath & Company, 1908 - 174 σελίδες

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Σελίδα 50 - Two parallelograms are congruent if two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other.
Σελίδα 166 - S' denote the areas of two © whose radii are R and R', and diameters D and D', respectively. Then, | = "* § = ££ = £• <§337> That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.
Σελίδα 136 - ... any two parallelograms are to each other as the products of their bases by their altitudes. PROPOSITION V. THEOREM. 403. The area of a triangle is equal to half the product of its base by its altitude.
Σελίδα 17 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 124 - If, from a point without a circle, two secants are drawn, the product of one secant and its external segment is equal to the product of the other and its external segment.
Σελίδα 39 - If two angles of a triangle are equal, the sides opposite are equal.
Σελίδα 44 - If two triangles have two sides of 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.
Σελίδα 58 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Σελίδα 6 - C as a centre, and with a radius sufficiently great, describe an arc cutting the line AB in two points, A and B ; then, from...
Σελίδα 33 - That is, if two parallels are cut by a transversal, the sum of the interior angles on the same side of the transversal is equal to two right angles.

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