## The elements of algebra |

### Dentro del libro

Página 45

... and so on ; but if from any quantity

... and so on ; but if from any quantity

**there be taken more than its half , and from the remainder more than its half , and**so on , there will , at length , remain a quantity less than any that can be asigned ( Euc .### Comentarios de la gente - Escribir un comentario

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### Términos y frases comunes

according added algebraical amount annuity appears Assume becomes binomial called chance changed coefficient combinations common common measure compound consequently contains continued cube root decimal denominator determine difference digits dimensions divided divisible divisor equal equation expansion expressed Extract the square factors figures former four fraction give given greater happen Hence impossible increased integer interest latter least less limit lowest terms manner method multiplied nearly negative obtained operation paid person places positive possible prime probability progression proportionals proposed prove quadratic quotient ratio reduced remainder represented respectively result rule shew shillings sides signs simple solution square root substituted subtracted suppose surd taken things third transformed true unit unknown quantity vary whole whole number

### Pasajes populares

Página 93 - This process of adding the square of half the coefficient of the first power of the unknown quantity to the first member, in order to make it a perfect square, is called COMPLETING THE SQUARE.

Página 89 - A laborer agreed to serve for 36 days on condition that for every day he worked he should receive $1.25, and for every day he was absent he should forfeit 50 cents.

Página 112 - If the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other two the means of a proportion.

Página 81 - Find the value of one of the unknown quantities, in terms of the other and known quantities...

Página 51 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.

Página 127 - Progression may be found by multiplying the sum of the first and last terms by half the number of terms.

Página 115 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.

Página 108 - Ratio is the relation which one quantity bears to another in respect of magnitude, the comparison being made by considering what multiple, part, or parts, one is of the other.

Página 26 - The sign of equality, called equal, or equal to, signifies that the quantities between which it is placed are equal to each other.

Página 17 - Multiply as in whole numbers, and point off as many decimal places in the product as there are in both multiplicand and multiplier. DIVISION. Divide as in whole numbers, and point off...