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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Page 58
... direct and inverse . RULE for Stating , & c . Of the two similar terms , set that in the first place which implies ... direct or inverse . DIRECT PROPORTION . Direct proportion is that wherein the third DIRECT 58 The Single Rule of Three ...
... direct and inverse . RULE for Stating , & c . Of the two similar terms , set that in the first place which implies ... direct or inverse . DIRECT PROPORTION . Direct proportion is that wherein the third DIRECT 58 The Single Rule of Three ...
Page 59
... DIRECT PROPORTION . Direct proportion is that wherein the third term is greater than the first , and requires the fourth term to be greater than the second ; or the third less than the first , and re- quires the fourth to be less than ...
... DIRECT PROPORTION . Direct proportion is that wherein the third term is greater than the first , and requires the fourth term to be greater than the second ; or the third less than the first , and re- quires the fourth to be less than ...
Page 63
... direct proportion : Thus : Days . Men . Days . Men . As 3 .. 8 : 6 .. 4 In lg . In wd . In lg . In wd , 48 " . 3 :: 12 12 = 1 foot square . " Note . See the last note , EXAMPLES . 1 If 48 men can build a wall in 24 days ; how many men ...
... direct proportion : Thus : Days . Men . Days . Men . As 3 .. 8 : 6 .. 4 In lg . In wd . In lg . In wd , 48 " . 3 :: 12 12 = 1 foot square . " Note . See the last note , EXAMPLES . 1 If 48 men can build a wall in 24 days ; how many men ...
Page 67
... direct or inverse . RULE FOR STATING . Set the two terms of the supposition , which are like those of the demand , one under the other , in the first place ; that of the same kind with the term sought in the second ; and the two ...
... direct or inverse . RULE FOR STATING . Set the two terms of the supposition , which are like those of the demand , one under the other , in the first place ; that of the same kind with the term sought in the second ; and the two ...
Page 68
... direct or inverse : Con- sider the upper pair of extremes , and the lower , each se- parately with the middle termn , as a stating of the single rule , and try them as taught in that rule : if both lines be direct , the stating is in direct ...
... direct or inverse : Con- sider the upper pair of extremes , and the lower , each se- parately with the middle termn , as a stating of the single rule , and try them as taught in that rule : if both lines be direct , the stating is in direct ...
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Common terms and phrases
Aaron Ableman Ableman acct acres amount annum answer 21 answer neat Application bales barley barter Bought breadth bushel C.wt cash in full casks ciphers compound containing cost cube-root David Johnson decimal denominator Divide dividend divisor dollars dols dozen drams Edward Young ell English ells Flemish equal EXAMPLES facit feet figures Flemish folio gallons George Robson given number given quantity gross hogsheads hundred weight improper fraction inches integer interest James Dixon Ledger lowest terms merchant miles moidores months Multiply neat weight Note ounces pence Pennsylvania currency perches persons Peter Thomson pieces pounds principal Proof quarts quotient rate per cent Reduce remainder Richard Barber root RULE OF THREE shalloon shillings sold square square-root sterling Subtract sugar Sundries supposed number tare Thomas Lawson trett VULGAR FRACTIONS wheat whole numbers wine worth yards of cloth
Popular passages
Page 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.
Page 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.
Page 127 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 155 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.
Page 173 - ... 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 then deduct from the...
Page 30 - TABLE. 60 seconds (") make 1 minute,...'. 60 minutes " 1 degree, . . . °. 30 degrees " 1 sign S. 12 signs, or 360°,
Page 115 - Thirty days after sight of this my second of exchange, (first of the same tenor and date not paid) pay to Thomas Broker, or order, four thousand two hundred and twenty-six livres, twelve sols, and eight deniers, value received ; which place to account of Silas Stroud. To Thomas Lamot, Merchant, Bordeaux. How much sterling is the above bill, at 10i d.
Page 149 - Suppose a ladder 40 feet long be so planted as to reach a window 33 feet from the ground, on one side of the street, and without moving it at the foot, will reach a window on the other side 21 feet high ; what is the breadth of the street?