## Mathematical Manual for the Use of Colleges and Academies, Volume 1 |

### From inside the book

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Page 12

To proceed to the operation , you write first the

To proceed to the operation , you write first the

**greatest**number , then place under it the smaller , so that the units correspond to the units , the tens to the tens , & c . Now , nothing would be easier than to find the excess of the ... Page 30

When the

When the

**greatest**denominator among all the fractions , is found to be a multiple of each of the other denominators . EXAMPLE . + * + & + * + ; 12 , which is the**greatest**denominator , may be taken for the common denominator ; in fact ... Page 36

the case in most divisions , where the quotient commonly contains a fraction ; some of these fractions can be reduced to a very simple expression ; there are two methods to accomplish it ; the way of trying , and that of the

the case in most divisions , where the quotient commonly contains a fraction ; some of these fractions can be reduced to a very simple expression ; there are two methods to accomplish it ; the way of trying , and that of the

**greatest**... Page 37

**GREATEST**COMMON Divisor . The above method , though only a trying , is preferable to the general rule , whenever the two numbers are not very large ; if they be , take the following easy method . Divide the denominator of the fraction ... Page 38

Secondly ; that it is their

Secondly ; that it is their

**greatest**common divisor . I say first , that 221 is a common divisor , for we see that it divides 663 without remainder ; and as it does also divide itself exactly , it must likewise divide 884 , which , in ...### What people are saying - Write a review

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### Common terms and phrases

adding addition amount arithmetic becomes bottles calculation called carried cause cent column common composed compound consequently considering contains cost cube cyphers decimals denominator difference divide dividend division divisor dollars double easily easy effect equal equation evident example expressed extremes factors fathoms feet figures four fourth fraction gain given gives greater greatest half hundred hundredths inches interest kind less letters logarithms manner means method mixture months multiplicand multiply necessary observe obtained operation partial pence performed pounds principal problem progression proof proportion quantity question quotient ratio reduce remainder remark result root rule separate shillings simple solve square subtract suppose tables taken tens third thousands tion units unknown quantity whole wine worth write written 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.