Mathematical Manual for the Use of Colleges and Academies, Volume 1J.W. Butler, and sold by J. Conrad, 1807 - Mathematics |
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Results 6-10 of 98
Page 21
... gives 3 for quotient , and nothing remains ; therefore I say , that 1353 is the quotient asked for , or that it represents the num- ber of times the divisor is contained in the dividend , since it is the assemblage of all the quotients ...
... gives 3 for quotient , and nothing remains ; therefore I say , that 1353 is the quotient asked for , or that it represents the num- ber of times the divisor is contained in the dividend , since it is the assemblage of all the quotients ...
Page 22
... gives 17 for remainder , which I write , and close by it the 2 which I take down , to form the second partial divi- dend : then I say , in 172 how many times 368 ? no times ; I write O in the quotient ; then proceeding , I take down a ...
... gives 17 for remainder , which I write , and close by it the 2 which I take down , to form the second partial divi- dend : then I say , in 172 how many times 368 ? no times ; I write O in the quotient ; then proceeding , I take down a ...
Page 23
... give the same quotient ; for , by cut- ting off one , two , three , & c . cyphers , at the right of write 5480 12 the divisor , you render this number 10 , 100 , 1000 & c . times smaller , and therefore capable of being contained that ...
... give the same quotient ; for , by cut- ting off one , two , three , & c . cyphers , at the right of write 5480 12 the divisor , you render this number 10 , 100 , 1000 & c . times smaller , and therefore capable of being contained that ...
Page 24
... give the dividend ; thus , if I have 24 to divide by 4 , the question is to find a number , which , multiplied by 4 , be equal to 24 ; this number must then be 4 times smaller than 24 , or the fourth of 24 ; whence it follows that to ...
... give the dividend ; thus , if I have 24 to divide by 4 , the question is to find a number , which , multiplied by 4 , be equal to 24 ; this number must then be 4 times smaller than 24 , or the fourth of 24 ; whence it follows that to ...
Page 25
... give the quotient asked for for , it is evident , that render- ing , by the suppression of the comma , both dividend and divisor the same number of times greater , we change nothing in the quotient . EXAMPLE . Be it proposed to divide ...
... give the quotient asked for for , it is evident , that render- ing , by the suppression of the comma , both dividend and divisor the same number of times greater , we change nothing in the quotient . EXAMPLE . Be it proposed to divide ...
Common terms and phrases
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
Popular passages
Page 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.
Page 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?
Page 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.
Page 202 - OF TIME. 60 Seconds = 1 Minute 60 Minutes =± 1 Hour 24 Hours = 1 Day 7 Days = 1 Week 28 Days = 1 Lunar Month...
Page 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.
Page 59 - The first term of a ratio is called the antecedent, and the second term the consequent.
Page 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.
Page 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.
Page 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.