# New Elementary Algebra: Embracing the First Principles of the Science

Barnes & Burr, 1864 - 299 sider

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Side 275 - BD we have — = -^, (Art. 169) ; and by clearing the equation of fractions, we have BC = AD; that is, Of four proportional quantities, the product of the two extremes is equal to the product of the two means.
Side 175 - The result of this operation, 1 1 84, contains twice the product of the tens by the units, plus the square of the units.
Side 173 - The Square Root of a number is one of its two equal factors. Thus, the square root of 25 is 5, since 5x5 are 25.
Side 158 - A person has two horses, and a saddle worth £50 ; now, if the saddle be put on the back of the first horse, it will make his value double that of the second ; but if it be put on the back of the second, it will make his value triple that of the first ; what is the value of each horse ? Ans.
Side 72 - ... the first term of the quotient ; multiply the divisor by this term and subtract the product from the dividend. II. Then divide the first term of the remainder by the first term of the divisor...
Side 196 - Therefore, to obtain the square root of a trinomial when it is a perfect square : Extract the...
Side 118 - A fish was caught whose tail weighed 9lb., his head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together ; what was the weight of the fish ? Let 2a;= the weight of the body.
Side 256 - What two numbers are those whose sum, multiplied by the greater, is equal to 77 ; and whose difference, multiplied by the lesser, is equal to 12 ? Ans.
Side 77 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and second, plus the square of the second. Thus, (a — 6)* = (a — b) (a — 6)=a2— 2a6 + 6'.
Side 146 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from home, it lasted the woman 30 days ; how many days would the man alone be in drinking it ? Ans.