Secondary-school Mathematics, Book 2

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D.C. Heath & Company, 1911 - Mathematics
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Page 360 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it 190 THEOREM XLIX 196.
Page 353 - 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 356 - If a perpendicular is drawn from the vertex of the right angle to the hypotenuse of a right triangle : 1st.
Page 354 - The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side.
Page 360 - If from, a point without a circle a secant and a tangent are drawn, the tangent is a mean proportional between the whole secant and the external segment.
Page 259 - The Radius of a sphere is a straight line drawn from the center to any point in the surface.
Page 360 - The. sum of the angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles.
Page 354 - Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other...
Page 358 - Two triangles are similar if an angle of the one is equal to an angle of the other, and the sides including these angles are proportional. 0 B Hyp. In A ABC and A'B'O, <r ZA = ZA\ and AB: A'B
Page 298 - The areas of two circles are to each other as the squares of their radii, or as the squares of their diameters. S TrR2 R* If1' = ~R^ = "cT* = -D'*

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