The Elements of Algebra: Designed for the Use of Students in the UniversityJ. Smith, 1815 - 305 σελίδες |
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Σελίδα 16
... figures as there are cyphers in the denominator ; thus , .2 , .23 , .127 , .0013 , 43.7 , 2 23 127 13 signify respectively 10 ' 100 ' 1000 ' 10000 ' 437 10 43 7 or 10 ( 33. ) COR . 1. The value of each figure in a decimal , decreases ...
... figures as there are cyphers in the denominator ; thus , .2 , .23 , .127 , .0013 , 43.7 , 2 23 127 13 signify respectively 10 ' 100 ' 1000 ' 10000 ' 437 10 43 7 or 10 ( 33. ) COR . 1. The value of each figure in a decimal , decreases ...
Σελίδα 17
... figures in such a manner that those of the same denomination may stand under each other ; add them together as in whole numbers , and place the decimal point in the sum under the other points . Ex . Add together 7.9 , 51.43 and .0118 ...
... figures in such a manner that those of the same denomination may stand under each other ; add them together as in whole numbers , and place the decimal point in the sum under the other points . Ex . Add together 7.9 , 51.43 and .0118 ...
Σελίδα 18
... figures of the same denomination under each other ; then subtract as in whole numbers , and place the decimal point under the other points . From 61.3 take 42.012 . These , reduced to a common denominator , are 61.300 and 42.012 ...
... figures of the same denomination under each other ; then subtract as in whole numbers , and place the decimal point under the other points . From 61.3 take 42.012 . These , reduced to a common denominator , are 61.300 and 42.012 ...
Σελίδα 19
... figures as in whole numbers , and point off as many decimal places in the product as there are in the multiplier and the multiplicand together . 23598 513 46 Ex . 51.3 X 4.6 = 235.98 . For , X = 10 10 100 ( according to the decimal ...
... figures as in whole numbers , and point off as many decimal places in the product as there are in the multiplier and the multiplicand together . 23598 513 46 Ex . 51.3 X 4.6 = 235.98 . For , X = 10 10 100 ( according to the decimal ...
Σελίδα 20
... figures be wanting to make up the proper number of decimal places , cyphers must be added to the left . Ex . Divide .336 by 42 . 336 42 = 8 ; and as the quotient of .336 divided by 42 must contain three decimal places , that quotient is ...
... figures be wanting to make up the proper number of decimal places , cyphers must be added to the left . Ex . Divide .336 by 42 . 336 42 = 8 ; and as the quotient of .336 divided by 42 must contain three decimal places , that quotient is ...
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abscissa algebraical quantities annuity arithmetical progression assumed binomial biquadratic coefficients common denominator conic section cube root cubic equation curve decimal Diff difference divided dividend division divisor equa equal expressed factors find the sum former fraction geometrical progression greater greatest common measure greatest root hence impossible roots increment integral last term least common multiple less Let the roots limiting equation logarithm m.m+r m+r.m+2r manner multiplied negative roots nth term numerator and denominator obtained odd number ordinates original equation parabola positive possible roots present value probability proportionals proposed equation quadratic surds quan quotient ratio reduced remainder represented shillings signs simple equation square root substituted subtracted suppose supposition taken tion tities unity unknown quantity vulgar fraction whole number
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 52 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 50 - Let the equation first be cleared of fractions ; then transpose all the terms which involve the unknown quantity to one side of the equation, and the known quantities to the other...