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according added algebraical annuity appears arises Assume becomes called changed coefficients common denominator consequently contained continued corresponding cube curve decimal denominator determined difference dimensions divided dividend division divisor equal equation expressed extracting factors fail figures find the sum former four fourth fraction given greater happen hence increased increment integral interest it's last term latter least less limiting magnitudes manner method multiplied nearly negative obtained original equation positive possible probability progression proportionals proposed equation quadratic quotient raised ratio reduced relation remainder represented respectively roots rule shillings sides signs simple solution square square root substituted subtracted supposed surd taken third tion transformed trial units unity unknown quantity vary whole whole number
Seite 64 - 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.
Seite 44 - Divide this quantity, omitting the last figure, by twice the part of the root already found, and annex the result to the root and also to the divisor, then multiply the divisor as it now stands by the part of the root last obtained for the subtrahend.
Seite 52 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Seite 37 - 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.
Seite 73 - 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.
Seite 44 - Divide the number thus formed, omitting the last figure, by twice the part of the root already obtained, and annex the result to the root and also to the divisor. Then multiply the divisor, as it now stands, by the part of the root last obtained, and subtract the product from the number formed, as above mentioned, by the first remainder and second period. If there be more periods- to be brought down, the operation must be repeated.
Seite 13 - 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...
Seite 73 - 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.
Seite 73 - If four magnitudes are in proportion, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.