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

### From inside the book

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... have appeared nost interesting All the methods of contra & tion in use have been given , with an explication of their theory , in order that the learner may fully understand the reasons of all the operations they are made to

... have appeared nost interesting All the methods of contra & tion in use have been given , with an explication of their theory , in order that the learner may fully understand the reasons of all the operations they are made to

**perform**... Page 10

All the operations

All the operations

**performed**upon numbers , are reduced to four , viz . adding , subtracting , multiplying , and dividing . As the process of these erations is not the same for complex and incomplex numbers , we shall treat of them ... Page 12

... we shall see , by an example , how to

... we shall see , by an example , how to

**perform**every kind of subtraction . ..99 . From Subtract 56000940378 7092734287 Difference 48908206091 Having placed the two numbers the one under the other 12 INCOMPLEX NUMBERS . Page 14

... 790 , 2376 Proof , 754 , 3845 Proof , 843 , 0000 In the 2d . example , the decimals , altogether wanting in the larger number , have been supplied by cy . phers , and the operation has been

... 790 , 2376 Proof , 754 , 3845 Proof , 843 , 0000 In the 2d . example , the decimals , altogether wanting in the larger number , have been supplied by cy . phers , and the operation has been

**performed**in the usual way . Page 27

This is the most direct manner of considering a fraction ; but there is another not less important , as it easily accounts for several operations to be

This is the most direct manner of considering a fraction ; but there is another not less important , as it easily accounts for several operations to be

**performed**on fractions : it is to consider the two terms of a fraction as the two ...### What people are saying - Write a review

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### Common terms and phrases

adding addition 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 true 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.