First Lessons in Algebra: In which the Elements of the Science are Familiarly ExplainedE.C. & J. Biddle, 1857 |
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First Lessons in Algebra: In Which the Elements of the Science Are ... Samuel Alsop No preview available - 2017 |
First Lessons in Algebra: In Which the Elements of the Science Are ... Samuel Alsop No preview available - 2016 |
Common terms and phrases
4th power a²b a²b+ a²x ab³ algebraic arithmetical progression ax³ ay product binomial bushels cents clearing of fractions coefficient common difference common multiple completing the square compound consequently continued proportion cube Divide dividend divisor equal EXAMPLES extracting the square extremes of four factors find the values following RULE four numbers fourth power geometrical progression Hence least common multiple merator miles moidores monomial Multiply mx² negative number of terms numbers in geometrical obtain one-fourth one-third POLYNOMIALS quadratic QUADRATIC EQUATIONS quotient ratio Reduce regularly descend represent the number Required the numbers Required the sum result signs solution solved square root subtract three numbers Transpose transposition unknown quantities values of x whence x²y xy² yards α² α³ ах ха ху ху³
Popular passages
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.