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Σελίδα 57 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — b) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Σελίδα 91 - ... is equal to the sum of the first and last terms multiplied by half the number of terms; therefore, the sum of the moments about R, is 5,000 X 5!L±.§!
Σελίδα 55 - To divide powers of the same base, subtract the exponent of the divisor from the exponent of the dividend. To find the power of a power, multiply the exponents.
Σελίδα 15 - Three boys together spent 43 cents; the second spent 5 cents more than the first, and the third twice as much as the second ; how many cents did each spend ? 17.
Σελίδα 45 - ... time ; and he finds that he can row 2 miles against the stream in the same time that he rows 3 miles with it : find the rate of the stream, and the time of his going and returning.
Σελίδα 69 - A's 49, B's 21 yrs. 24. There is a certain number consisting of two places of figures, which being divided by the sum of its digits, the quotient is 4, and if 27 be added to it, the digits will be inverted ; required the number.
Σελίδα 43 - It is required to find a number, such that if it be multiplied by 5, and then added to -9, the result -shall be a square.
Σελίδα 58 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Σελίδα 81 - If a certain number be divided by the sum of its two digits, the quotient is 4 and the remainder 3.
Σελίδα 107 - The area of a triangle is found by multiplying the base by half the altitude.

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