Mathematical Manual for the Use of Colleges and Academies, Volum 1J.W. Butler, and sold by J. Conrad, 1807 |
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Side 60
... extremes of the proportion ; the second and third , are called the 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 ...
... extremes of the proportion ; the second and third , are called the 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 ...
Side 61
... extremes , divided by the other 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 ...
... extremes , divided by the other 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 ...
Side 68
... extremes , equal to that of the means , may conclude that the value of x is right , and that the sum has been well performed . we RULE OF FELLOWSHIP . The intent of this rule , is principally to divide the gain or loss in trade ...
... extremes , equal to that of the means , may conclude that the value of x is right , and that the sum has been well performed . we RULE OF FELLOWSHIP . The intent of this rule , is principally to divide the gain or loss in trade ...
Side 79
... extremes equal to that of the means , if the operation has been well performed . RULE OF FALSE POSITION . The Rule of False Position , consists in dividing a number into parts proportional to numbers , which we determine relatively to ...
... extremes equal to that of the means , if the operation has been well performed . RULE OF FALSE POSITION . The Rule of False Position , consists in dividing a number into parts proportional to numbers , which we determine relatively to ...
Side 149
... and two conse quents ; we distinguish them also by extremes and means . We have given in arithmetic a sufficient detail of these general notions , ARITHMETIC PROPORTIONS . In every arithmetic proportion , the sum ALGEBRA . 149.
... and two conse quents ; we distinguish them also by extremes and means . We have given in arithmetic a sufficient detail of these general notions , ARITHMETIC PROPORTIONS . In every arithmetic proportion , the sum ALGEBRA . 149.
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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?
Side 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.
Side 202 - OF TIME. 60 Seconds = 1 Minute 60 Minutes =± 1 Hour 24 Hours = 1 Day 7 Days = 1 Week 28 Days = 1 Lunar Month...
Side 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.
Side 59 - The first term of a ratio is called the antecedent, and the second term the consequent.
Side 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.
Side 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.
Side 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.