First Lessons in Algebra: In which the Elements of the Science are Familiarly Explained

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E.C. & J. Biddle, 1857
 

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Page 41 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Page 28 - Then divide the first term of the remainder by the first term of the divisor...
Page 135 - There are three numbers in geometrical progression, whose sum is 14, and the sum of the first and second is to the sum of the second and third as 1 to 2 ; required the numbers. Ans.
Page 122 - If four quantities are in proportion, they are in proportion by division; that is, the difference of the first two terms is to the second term as the difference of the last two terms is to the fourth term.
Page 123 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 38 - To subtract one fraction from another, reduce them to equivalent fractions having the lowest common denominator. Subtract the numerator of the subtrahend from that of the minuend, and write the result over the common denominator.
Page 122 - If four quantities are in proportion, they will be in proportion by COMPOSITION ; that is, the sum of the first and second, will be to the second, as the sum of the third and fourth, is to the fourth.
Page 90 - C in ten days ; how many days would it take each to perform the same work alone ? Ans.
Page 125 - In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2.

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