First-year Mathematics for Secondary SchoolsUniversity of Chicago Press, 1909 - 344 pages |
Other editions - View all
Common terms and phrases
acute angles adjacent angles algebraic altitude angle equal angles are equal arithmetic axiom base binomials cent CHAPTER circle coefficient commutative law complementary angles construction corresponding angles cube denote difference digits distance divided divisor end-points EXERCISES expressed factor Find the angles Find the area Find the number Find the value following equations following problems following theorem formula geometry given angle gives graph graphically greatest common divisor Hence hour hypotenuse illustrate the following interior angles intersection length line-segments mathematics means measure method minuend monomials multiplied negative numbers obtained parallel parallelogram parallelopiped perigon perimeter perpendicular bisector plane polygon polynomials positive and negative protractor Prove quadratic equations quotient radius ratio rectangle right angle right triangle segment Show sides solution Solve the following square root straight angle straight line subtracted supplementary angles symbols tangent transversal trinomial turning-tendency vertex weight
Popular passages
Page 312 - I do not know what I may appear to the world, but to myself I seem to have been only like a boy playing on the sea-shore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me.
Page 303 - I label the two new points e and/.' 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 151 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.
Page 143 - In any proportion, the product of the means is equal to the product of the extremes.
Page xxiv - Take an interest in the subjects taught in school. Read the periodical literature concerning these. Talk to your parents about your school work. Discuss with them points that interest you.
Page 318 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Page 131 - A line parallel to one side of a triangle divides the other two sides proportionally.
Page 232 - Then any trinomial, in which two terms are squares (and positive) and the other term is plus or minus twice the product of the square roots of those two terms, is the square of the sum or difference of those two square roots according as the third term is plus or minus. 23. Factor k'+бkl+gl'.
Page 200 - Hence, to subtract one quantity from another, change the sign of the subtrahend, and add the result to the minuend.
Page 160 - Two right triangles are congruent if the hypotenuse and a side of the one are equal respectively to the hypotenuse and a side of the other. c c' c' Given the right triangles ABC and A'B'C', with the hypotenuse AC equal to the hypotenuse A'C', and with BC equal to B'C'.