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 6-10 of 39
Page 36
... means of an ex- ample . 1260 630 315 105 35 5 1764 882 441 147 49 7 Reductions , 1st . 2nd . 3d . 4th . 5th . Whenever the numerator and denominator are both even numbers , they can both be divided by 2 , or the half of them be taken ...
... means of an ex- ample . 1260 630 315 105 35 5 1764 882 441 147 49 7 Reductions , 1st . 2nd . 3d . 4th . 5th . Whenever the numerator and denominator are both even numbers , they can both be divided by 2 , or the half of them be taken ...
Page 53
... mean rate . Suppose we have , for example , two kinds of wine , one at 15d . and the other at Sd . a bottle , and wish to mix them together ; we shall form a mixture , the price of which per bottle , will evidently be the mean rate ...
... mean rate . Suppose we have , for example , two kinds of wine , one at 15d . and the other at Sd . a bottle , and wish to mix them together ; we shall form a mixture , the price of which per bottle , will evidently be the mean rate ...
Page 55
... mean rate , that is to say , between 20 and 15d . and write this dif- ference , which is 5 , on the same line with the lowest price ; we afterwards take , in like manner , the differ- ence between the mean rate and the lowest price ...
... mean rate , that is to say , between 20 and 15d . and write this dif- ference , which is 5 , on the same line with the lowest price ; we afterwards take , in like manner , the differ- ence between the mean rate and the lowest price ...
Page 60
... means . The essential property of every Geometrical pro- portion , and the only one of which we shall speak here , is , that the product of the extremes , is equal to the product of the means . Suppose we have the proportion 12 : 4 ...
... means . The essential property of every Geometrical pro- portion , and the only one of which we shall speak here , is , that the product of the extremes , is equal to the product of the means . Suppose we have the proportion 12 : 4 ...
Page 61
... mean ; for , sup- pose the proportion , 9 : 3 :: x : 5 ; making the product of the means equal to that of the extremes , we shall 9x5 have 3 xx9 × 5 , and consequently x , 3 It is necessary , in this place , to make an observa- tion ...
... mean ; for , sup- pose the proportion , 9 : 3 :: x : 5 ; making the product of the means equal to that of the extremes , we shall 9x5 have 3 xx9 × 5 , and consequently x , 3 It is necessary , in this place , to make an observa- tion ...
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.