# Secondary-school Mathematics, Book 2

D.C. Heath & Company, 1911 - Mathematics

### Contents

 BOOK II 171 INVOLUTION AND EVOLUTION 217 EXPONENTS 223 QUADRATIC EQUATIONS 245 Graphs 276 APPLICATIONS OF THE CIRCLE 287 REGULAR POLYGONS 296
 Supplemental Applied Mathematics 311 APPLICATION OF EXPONENTS 320 Problems 329 Supplemental Applied Mathematics for Girls 337 LIST OF CONSTRUCTIONS 351 INDEX 362 Copyright

### Popular passages

Page 190 - 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.
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 187 - If a perpendicular is drawn from the vertex of the right angle to the hypotenuse of a right triangle : 1st.
Page 355 - 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.
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 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 184 - 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 360 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.