The American Tutor's Assistant Revised: Or, A Compendious System of Practical Arithmetic : Containing the Several Rules of that Useful Science, Concisely Defined, Methodically Arranged, and Fully Exemplified : The Whole Particularly Adapted to the Easy and Regular Instruction of Youth in Our American Schools |
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Σελίδα 58
THE Single Rule of Three is that wherein three numA bers , or terms , are given ,
two of which are of one kind , to find a fourth proportional number of the same
name with the other given term ; and this consists of two ' , proportions , viz , direct
...
THE Single Rule of Three is that wherein three numA bers , or terms , are given ,
two of which are of one kind , to find a fourth proportional number of the same
name with the other given term ; and this consists of two ' , proportions , viz , direct
...
Σελίδα 63
INVERSE PROPORTION . Inverse proportion is that in which the third term is
greater than the first , and requires the fourth to be less than the second ; or , the
third less than the first , and requires the fourth to be greater than the second : For
...
INVERSE PROPORTION . Inverse proportion is that in which the third term is
greater than the first , and requires the fourth to be less than the second ; or , the
third less than the first , and requires the fourth to be greater than the second : For
...
Σελίδα 70
See the note in direct proportion . EXAMPLES . 1 If 7 ' men can reap 84 acres of
wheat in 12 days ; how many men can reap 100 acres in 5 days ? If 84A . ) S
100A . Xpd . S mo gd . Inverse term . 12 420 1200 4210 ) 84010 ( 20m . answer .
See the note in direct proportion . EXAMPLES . 1 If 7 ' men can reap 84 acres of
wheat in 12 days ; how many men can reap 100 acres in 5 days ? If 84A . ) S
100A . Xpd . S mo gd . Inverse term . 12 420 1200 4210 ) 84010 ( 20m . answer .
Σελίδα 133
... 789 ; which is , 245 280 As whole numbers , counting from the right to the left ,
increase in a ten fold proportion ; so decimals , counting towards the right ,
decrease in the same proportion ; which is exemplified in the following : M : :
TABLE .
... 789 ; which is , 245 280 As whole numbers , counting from the right to the left ,
increase in a ten fold proportion ; so decimals , counting towards the right ,
decrease in the same proportion ; which is exemplified in the following : M : :
TABLE .
Σελίδα 157
4 Admit a goldsınith sold one lb . of gold , at one farthing for the first ounce , a
penny for the second , 4d . for the third , & c . in a quadruple proportion ' ; what did
it amount to ? and what did he gain by it , supposing it cost him 4l . per ounce ...
4 Admit a goldsınith sold one lb . of gold , at one farthing for the first ounce , a
penny for the second , 4d . for the third , & c . in a quadruple proportion ' ; what did
it amount to ? and what did he gain by it , supposing it cost him 4l . per ounce ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
accounts acres addition amount annum answer Application Bought bushel C.wt carried cash in full cent common compound containing cost currency decimal denominator difference direct Divide dividend divisor dollars dols double dozen ells English equal EXAMPLES exchange facit feet figures folio four fourth fraction gain gallons given greater gross half hundred weight inches integer interest James Ledger length less Mary merchant miles months Multiply neat Note ounces owes paid pence Pennsylvania persons pieces pounds principal Proof proportion quantity quarters quotient received Reduce remainder root RULE share shillings simple single sold square sterling Subtract sugar Sundries Suppose tare third Thomas thousand units weeks weight whole wide wine worth yards yards of cloth
Δημοφιλή αποσπάσματα
Σελίδα 59 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Σελίδα 155 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.
Σελίδα 173 - ... If the vessel be double-decked, take the length thereof from the fore part of the main stern, to the after part of the stern-post, above the upper deck; the breadth thereof at the broadest part above the main wales, half of which breadth shall be accounted the depth of such vessel, and...
Σελίδα 120 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Σελίδα 156 - Multiply the last term by the ratio, from the product subtract the first term, and divide the remainder by the ratio, less 1 ; the quotient will be the sum of the series required.
Σελίδα 173 - ... of the breadth; multiply the remainder by the breadth, and the product by the depth...
Σελίδα 150 - Subtract the square number from the left hand period, and to the remainder bring down the next period for a dividend.
Σελίδα 121 - To reduce the fraction of one denomination to the fraction, of another, but less, retaining the same value. RULE. Multiply the...