Mathematical Manual for the Use of Colleges and Academies, Volume 1J.W. Butler, and sold by J. Conrad, 1807 - Mathematics |
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Page 5
... tens of tens or four hundred , and so on ; ten units of any fig . being equal to one unit of the fig . placed imme- diately at its left . This principle being once settled , another conven- tion has been necessary , for reading easily ...
... tens of tens or four hundred , and so on ; ten units of any fig . being equal to one unit of the fig . placed imme- diately at its left . This principle being once settled , another conven- tion has been necessary , for reading easily ...
Page 6
... tens ; then it is evident , that it makes all the figures , at its left , ten times greater than they would have been , had the cypher been omitted ; for , if we take it off , and write 374 , the 7 , which expressed hundreds , would now ...
... tens ; then it is evident , that it makes all the figures , at its left , ten times greater than they would have been , had the cypher been omitted ; for , if we take it off , and write 374 , the 7 , which expressed hundreds , would now ...
Page 7
... ten times greater , becomes a ten . To express eleven , we write 11 , that is one ten , more one unit ; for twelve , we should write 12 , which is one ten and two units ; -to express twenty foe , we write 25 , or two tens and five units ...
... ten times greater , becomes a ten . To express eleven , we write 11 , that is one ten , more one unit ; for twelve , we should write 12 , which is one ten and two units ; -to express twenty foe , we write 25 , or two tens and five units ...
Page 8
... ten tenths , a hundred hundredths , a thousand thou- sandths , and consequently every ten of units is worth ten thousands of thousandths . What we have here ex- plained , is founded upon the general principle of Nu- meration , which is ...
... ten tenths , a hundred hundredths , a thousand thou- sandths , and consequently every ten of units is worth ten thousands of thousandths . What we have here ex- plained , is founded upon the general principle of Nu- meration , which is ...
Page 9
... ten times less to the figures at its right . In fact , suppose the number 45,308 ; the cypher in- dicates that there are no ... tens , is hundreds ; the 5 , which was hundreds , becomes thousands and , on another hand , the 2 , which ex ...
... ten times less to the figures at its right . In fact , suppose the number 45,308 ; the cypher in- dicates that there are no ... tens , is hundreds ; the 5 , which was hundreds , becomes thousands and , on another hand , the 2 , which ex ...
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.