Fundamentals of High School Mathematics: a Text-book Designed to Follow Arithmetic |
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acute angle algebraic expression altitude arithmetic base cents certain number chapter Check cosine cost dimensions dollars equa equal factors Find each number Find the number find the square Find the value find unknown distances formula fractions fulcrum gives graphic method height High School horizontal hypotenuse Illustrative example important inches Ivory Soap length letter mathematics measure miles per hour minuend multiply negative numbers numerical value parentheses perimeter Plot pounds protractor quadratic equation quantities quotient ratio rectangle represent the number result REVIEW EXERCISE right triangle scale drawing scores Section show the relation side adjacent side opposite signed numbers similar triangles solution solve equations solve the equation square root subtract tabular method tangent tell tion train travels twice units variables width word statement zero
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Page 101 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Page 255 - Prove that the product of the sum and difference of any two numbers is equal to the square of the first, minus the square of the second. Illustrate by a numerical example. SUQ. Denote the two numbers by a and 5. 37. Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Page 317 - The cube root of a number is one of the three equal factors of the number. Thus the cube...
Page 173 - That the exponent of any letter in the product is equal to the sum of its exponents in the two factors.
Page 277 - Therefore, the principles of division apply to the terms of a fraction, and both terms of a fraction may be multiplied or divided by the same number, without changing the value of the fraction.
Page 183 - The exponent of any letter in a product is equal to the sum of the exponents of that letter in the factors. This is expressed in general terms thus: na X nb = n*+b.
Page 294 - The principle demonstrated by any other general problem may be drawn from the formula in a similar manner. 35. A can perform a piece of work in a days, B in b days, and C in c days ; in how many days will they accomplish the work, if they all work together ? , ab c . Aiis.
Page ix - The courses in each year should be so planned as to give the pupil the most valuable mathematical information and training which he is capable of receiving in that year, with little reference to the courses which he may or may not take in succeeding years.
Page 189 - Any term may be transposed from one side of the equation to the other by changing its sign.
Page 205 - Seven hours afterwards B sets out from the same place and travels in the same direction at the rate of 6 miles an hour.