### Popular passages

Page 41 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Page 169 - 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.
Page 150 - THEOREM If from a point without a circle a tangent and a secant be drawn, the tangent is a mean proportional between the whole secant and its external segment.
Page 77 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Page 141 - In an isosceles triangle the angles opposite the equal sides are equal.
Page 223 - Pythagorean theorem, which states that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides.
Page 214 - I label the two new points e and /." FIG. 2 With the help of this figure he then proceeds to the usual proof of the theorem that the area of a parallelogram is equal to the product of the base by the altitude, establishing the equality of certain lines and angles and the congruence of the pair of triangles.
Page 215 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Page 10 - If two sides and the included angle of one triangle are equal respectively to two sides and the included angle of another triangle, then the triangles are congruent.
Page 268 - The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R