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 6
... take the number 25 ; if I add a cypher and write 250 , the fig . 5 , which was of units , becomes tens ; and the 2 , which expressed tens , now indicates hundreds ; consequently each of these two figures 6 GENERAL PRINCIPLES.
... take the number 25 ; if I add a cypher and write 250 , the fig . 5 , which was of units , becomes tens ; and the 2 , which expressed tens , now indicates hundreds ; consequently each of these two figures 6 GENERAL PRINCIPLES.
Page 7
L. I. M. Chevigné. now indicates hundreds ; consequently each of these two figures has become ten times greater ; therefore the whole number has been itself made ten times greater . -By a similar reasoning , we shew , that if we put two ...
L. I. M. Chevigné. now indicates hundreds ; consequently each of these two figures has become ten times greater ; therefore the whole number has been itself made ten times greater . -By a similar reasoning , we shew , that if we put two ...
Page 8
... consequently the seven hundredths amount to 70 thou- sandths ; since , likewise , a tenth is worth ten hun- dredths or one hundred thousandths , the four tenths will make four hundred thousandths : We can read this number in a more ...
... consequently the seven hundredths amount to 70 thou- sandths ; since , likewise , a tenth is worth ten hun- dredths or one hundred thousandths , the four tenths will make four hundred thousandths : We can read this number in a more ...
Page 9
... consequently the whole number , ten times greater than it was . - On the contrary , by placing the comma one fig . higher to the left , and writing 53,4728 , we make the whole number ten times less , since every one of its parts ...
... consequently the whole number , ten times greater than it was . - On the contrary , by placing the comma one fig . higher to the left , and writing 53,4728 , we make the whole number ten times less , since every one of its parts ...
Page 13
... consequently worth ten tens ; I have joined these ten tens to the 7 of the 2d . figure , and from these 17 taking 8 , I have 9 left , which I set down . ( Re- mark that in order not to forget that I have borrowed a unit from the next ...
... consequently worth ten tens ; I have joined these ten tens to the 7 of the 2d . figure , and from these 17 taking 8 , I have 9 left , which I set down . ( Re- mark that in order not to forget that I have borrowed a unit from the next ...
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.