A brief compendium of arithmetic1835 |
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... Loss and Gain , and Alligation , follow immediately after the Rule of Three , of which indeed they are little more than exemplifications . By thus classing these five rules , the principle of proportion is kept in view , and the pupil ...
... Loss and Gain , and Alligation , follow immediately after the Rule of Three , of which indeed they are little more than exemplifications . By thus classing these five rules , the principle of proportion is kept in view , and the pupil ...
Page 28
... months . FELLOWSHIP . Fellowship is a rule used to calculate shares of gain and loss . RULE . Add the given shares together , make as many statings as there are shares ; saying- is to the whole As the sum of the shares 28 FELLOWSHIP .
... months . FELLOWSHIP . Fellowship is a rule used to calculate shares of gain and loss . RULE . Add the given shares together , make as many statings as there are shares ; saying- is to the whole As the sum of the shares 28 FELLOWSHIP .
Page 29
... loss . to its Proof . - Add all the shares of gain or loss together , and the sum will be equal to the given gain or loss ; or invert the terms of the statings . Examples . Divide £ 140 among A. B. and C. , so that A. shall have one ...
... loss . to its Proof . - Add all the shares of gain or loss together , and the sum will be equal to the given gain or loss ; or invert the terms of the statings . Examples . Divide £ 140 among A. B. and C. , so that A. shall have one ...
Page 30
... loss . loss , Examples . X puts £ 10 for 5 months , Y £ 8 for 10 months , and Z £ 6 for 5 months ; they gain £ 60 , what is each share ? £ . £ . £ . £ . 10 8 6 X 50 5 10 5 Y 80 Z 30 X 50 Y 80 Z 30 Sum 160 £ . £ . £ . £ . S. As 160 : 60 ...
... loss . loss , Examples . X puts £ 10 for 5 months , Y £ 8 for 10 months , and Z £ 6 for 5 months ; they gain £ 60 , what is each share ? £ . £ . £ . £ . 10 8 6 X 50 5 10 5 Y 80 Z 30 X 50 Y 80 Z 30 Sum 160 £ . £ . £ . £ . S. As 160 : 60 ...
Page 31
... LOSS AND GAIN . RULE 1. - Find the difference between the whole cost and the whole produce . Examples . Bought 18cwt . of sugar at 28s . per cwt . which I sell at 31d . per lb. , what is the gain ? A. £ 4 4s . Bought butter at 20d . per ...
... LOSS AND GAIN . RULE 1. - Find the difference between the whole cost and the whole produce . Examples . Bought 18cwt . of sugar at 28s . per cwt . which I sell at 31d . per lb. , what is the gain ? A. £ 4 4s . Bought butter at 20d . per ...
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Common terms and phrases
2qrs 3qrs 7lbs aliquot ALLIGATION Amount annuity annum APOTHECARIES WEIGHT ARITHMETIC AVOIRDUPOISE WEIGHT Banco BEER MEASURE Bought bushel casks cent ciphers CLOTH MEASURE common denominator compound fractions Compound Interest Copecs crowns decimals Divide dividend DIVISION divisor DRY MEASURE Ducat ells Examples exchange Facit farthings feet find the value gallons Geometrical Progression given number given sum greater grotes guineas hogsheads improper fraction inches integer last rule last term left hand less Marcs miles mille-reis mixed numbers months Mult Multiplicand Multiply Neat weight number of terms Oqrs pence penny piastre pound sterling Prob Problem Proof proper quantity quotient Reduce remainder rix-dollars rouble RULE 2.-When Rule of Three RULE.-Multiply share of gain shil shillings short methods square root subtract Tare Tret TROY WEIGHT Vulgar Fractions wheat whole numbers WINE MEASURE wwwm yards cost
Popular passages
Page 81 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page 61 - To reduce fractions to a common denominator. RULE. Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Page 61 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 61 - 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 86 - Ans. £b 2s. 3. If 100 eggs were placed in a right line, exactly a yard asunder from one another, and the first a yard from a basket, what length of ground does that man go who gathers up these 100 eggs singly, returning with every egg to the basket to put it in I Ans.
Page 51 - RULE. Multiply each payment by the time at which it is due, then divide the sum of the products by the sum of the payments, and the quotient will be the answer.
Page 86 - There is a cellar dug that is 12 feet every way, in length, breadth, and depth; how many solid feet of earth were taken out of it? Ans. 1728. 42. How many bricks 9 inches long and 4 inches wide, will pave a yard that is 20 feet square?
Page 84 - Hence, when we have given the first term, the ratio, and the number of terms, to find the last term, we have this RULE.
Page 81 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 30 - As the whole sum of the products is to the whole gain or loss, so is each man's particular product to his particular share of the loss or gain.* EXAMPLES.