Mathematical Manual for the Use of Colleges and Academies, Volum 1J.W. Butler, and sold by J. Conrad, 1807 |
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Side 121
... unknown quantities , the latter of which are to be determined from the former . Analysis is the art of solving ... quantity is found by itself in one of its members , * freed from all coefficients and exponents . Equations are of different ...
... unknown quantities , the latter of which are to be determined from the former . Analysis is the art of solving ... quantity is found by itself in one of its members , * freed from all coefficients and exponents . Equations are of different ...
Side 122
... unknown quan- tity . In order to solve a problem with several un- known quantities , the different equations must be combined together , so as to have but one equation , and but one unknown quantity in this equation . There are no ...
... unknown quan- tity . In order to solve a problem with several un- known quantities , the different equations must be combined together , so as to have but one equation , and but one unknown quantity in this equation . There are no ...
Side 123
... unknown quan- tity , that is , to have this unknown quantity by itself in the first member free from every ... quantity . The method for solving an equation is always to be- gin with clearing the unknown quantity of its denomina- tors ...
... unknown quan- tity , that is , to have this unknown quantity by itself in the first member free from every ... quantity . The method for solving an equation is always to be- gin with clearing the unknown quantity of its denomina- tors ...
Side 125
... unknown quantity , when it is found in several terms of the equation , with different coefficients . All the different coefficients of the unknown quantity should be united under the same parenthesis , as was just now done ; then this ...
... unknown quantity , when it is found in several terms of the equation , with different coefficients . All the different coefficients of the unknown quantity should be united under the same parenthesis , as was just now done ; then this ...
Side 126
... unknown quantity of its de- nominators ; the most simple way of doing it , is , in the first place , to reduce to a common denominator the terms of each member separately , and then do the same by both members . We shall have in the ...
... unknown quantity of its de- nominators ; the most simple way of doing it , is , in the first place , to reduce to a common denominator the terms of each member separately , and then do the same by both members . We shall have in the ...
Vanlige uttrykk og setninger
aliquot annum antecedents arithmetic progression arithmetic proportion binomial bottles calculation called cent coefficient comma common divisor complete the square composed consequently contains cost cube root cyphers decimals denominator difference divide division dollars double sign equal ratios evident example exponent expressed factors fath fathoms feet figures follows fourth fractional number gain gallons geometric progression geometric proportion gives greatest common divisor hundred hundredth INCOMPLEX NUMBERS INDETERMINATE PROBLEMS interest last term logarithms means method Mixed Number mixture monomial months multiplicand multiply necessary number of terms operation orifice partial dividend pence pounds problem proof quan question quotient reduced remainder remark rule of three second degree second equation shillings solution solve square root substituting subtract tables taken tens third tion tity treme unity unknown quantity whole number write yards
Populære avsnitt
Side 33 - Multiply the whole number by the numerator of the fraction, and divide the product by the denominator ; or divide the whole number by the denominator of the fraction, and multiply the quotient by the numerator.
Side 224 - The earth being 360 degrees in circumference, turns round on its axis in 24 hours ; how far does it turn in one minute, in the 43d parallel of latitude; the degree of longitude, in this latitude, being about 51 statute miles?
Side 104 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Side 202 - OF TIME. 60 Seconds = 1 Minute 60 Minutes =± 1 Hour 24 Hours = 1 Day 7 Days = 1 Week 28 Days = 1 Lunar Month...
Side 203 - The fourth, eleventh, ninth, and sixth, Have thirty days to each affix'd: And every other thirty-one, Except the second month alone, Which has but twenty-eight in fine, Till leap year gives it twenty-nine.
Side 59 - The first term of a ratio is called the antecedent, and the second term the consequent.
Side 34 - It will be seen that we multiply the denominator of the dividend by the numerator of the divisor for the denominator of the quotient, and the numerator of the dividend by the denominator of the divisor for the numerator of the quotient.
Side 245 - TARE AND TRET. Tare and Tret are allowances made by the seller to the buyer, on some particular commodities. Tare is an allowance made for the weight of the barrel, box, bag, or whatever contains the commodity. Tret is an allowance of 4 Ib.
Side 85 - Considering, then, the proposed number 6084 as composed of the square of the tens of the root sought, twice the product of the tens by the units, and the square of the units, if we can discover in this number the first of these parts, viz.