Mathematical Manual for the Use of Colleges and Academies, Volume 1J.W. Butler, and sold by J. Conrad, 1807 - Mathematics |
From inside the book
Results 1-5 of 26
Page 19
... dividend , 6 divisor . Dividend 24 - 6 dicis . 4 quot . 6 1st subtraction . It follows , from the definition of Division , that this operation can be done by Subtraction . If we had , for instance , 24 to divide by 6 , the question ...
... dividend , 6 divisor . Dividend 24 - 6 dicis . 4 quot . 6 1st subtraction . It follows , from the definition of Division , that this operation can be done by Subtraction . If we had , for instance , 24 to divide by 6 , the question ...
Page 20
... dividend is composed of ever so many ; the other , when both members con- sist of several figures . DIVISION . - First Case . The method to be followed in both cases , is , to consider the given dividend as composed of several partial ...
... dividend is composed of ever so many ; the other , when both members con- sist of several figures . DIVISION . - First Case . The method to be followed in both cases , is , to consider the given dividend as composed of several partial ...
Page 21
... dividend , I say , 3 times 7 is 21 , which I set down under 24 , then subtracting , I have 3 for the differ- ence ; by this 3 I take down the third figure of the dividend , and I have , for my third partial dividend , 37 ; operating as ...
... dividend , I say , 3 times 7 is 21 , which I set down under 24 , then subtracting , I have 3 for the differ- ence ; by this 3 I take down the third figure of the dividend , and I have , for my third partial dividend , 37 ; operating as ...
Page 22
... dividend must be compo- sed of at least 3 figures ; taking then the 3 first fig- ures on the left of the divi- dend ... dividend , we had 736 , which , subtracted from the partial dividend 753 , gives 17 for remainder , which I write ...
... dividend must be compo- sed of at least 3 figures ; taking then the 3 first fig- ures on the left of the divi- dend ... dividend , we had 736 , which , subtracted from the partial dividend 753 , gives 17 for remainder , which I write ...
Page 23
... dividend , as you are taking them down to form the partial dividends , in order to avoid the oversight of taking down the same twice ; these dots will besides indicate the number of figures which must be had in the quotient . REMARK 1st ...
... dividend , as you are taking them down to form the partial dividends , in order to avoid the oversight of taking down the same twice ; these dots will besides indicate the number of figures which must be had in the quotient . REMARK 1st ...
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.