Adam's New Arithmetic: Arithmetic, in which the Principles of Operating by Numbers are Analytically Explained and Synthetically Applied... |
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Page 4
... Proportion , is retained , and the solu- tion of questions involving the principles of proportion , by analysis , is distinctly shown . The articles Alligation , Arithmetical and Geometrical Progression , Annuities and Permutation ...
... Proportion , is retained , and the solu- tion of questions involving the principles of proportion , by analysis , is distinctly shown . The articles Alligation , Arithmetical and Geometrical Progression , Annuities and Permutation ...
Page 6
... Proportion , or Single Rule of Thrée , Same Questions , solved by Analysis , ¶ 65 , ex . Compound Proportion , or Double Rule of Three , Fellowship , 179 187 192 ' T'axes , Method of assessing , 195 Alligation , • 197 Duodecimals , 201 ...
... Proportion , or Single Rule of Thrée , Same Questions , solved by Analysis , ¶ 65 , ex . Compound Proportion , or Double Rule of Three , Fellowship , 179 187 192 ' T'axes , Method of assessing , 195 Alligation , • 197 Duodecimals , 201 ...
Page 130
... 17 s . 1 d . 24 q . This and the following are examples usually referred to the rule Proportion , or Rule of Three . See 195 ex . 35 . 12. A merchant bought a number of bales of velvet 130 ¶ 65 . SUPPLEMENT TO FRACTIONS .
... 17 s . 1 d . 24 q . This and the following are examples usually referred to the rule Proportion , or Rule of Three . See 195 ex . 35 . 12. A merchant bought a number of bales of velvet 130 ¶ 65 . SUPPLEMENT TO FRACTIONS .
Page 132
... proportion , in the same manner as whole numbers . ¶ 67. In this way of dividing a unit , it is evident , that the denominator to a decimal fraction will always be 10 , 100 , 1000 , or 1 with a number of ciphers annexed ; conse- quently ...
... proportion , in the same manner as whole numbers . ¶ 67. In this way of dividing a unit , it is evident , that the denominator to a decimal fraction will always be 10 , 100 , 1000 , or 1 with a number of ciphers annexed ; conse- quently ...
Page 134
... proportion towards the left hand , and decimals continually decreasing , in the same pro- portion , towards the right hand . But as decimals decrease towards the right hand , it follows of course , that they in- crease towards the left ...
... proportion towards the left hand , and decimals continually decreasing , in the same pro- portion , towards the right hand . But as decimals decrease towards the right hand , it follows of course , that they in- crease towards the left ...
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Common terms and phrases
acres amount annexed annuity answer apples arithmetical series avoirdupois bought bushels called ciphers compound interest compound numbers contained cord feet cows cube root cubic currency decimal fractions diameter divided dividend division divisor dollars equal EXAMPLES FOR PRACTICE factors farthings federal money foot gain gallons given number greatest common divisor Hence hogshead horse hundred hundredths improper fraction inches least common multiple left hand length less number measure miles mills minuend minutes mixed number months multi multiplicand multiply Note number of terms OPERATION oranges paid payment pence pints pounds present worth principal proportion pupil quantity quarts quotient quotient figure rate per cent ratio receive Reduce remainder right hand figure rule shillings side simple numbers sold solid feet square root subtraction tens thousandths units vulgar fractions weight whole number write yards of cloth
Popular passages
Page 217 - 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 77 - TABLE. 2 pints (pts.) make - 1 quart, - marked - qt. 8 quarts 1 peck, pk. 4 pecks ----- 1 bushel, ----- bu. 36 bushels ----- 1 chaldron, - - - - ch. Note. A gallon, dry measure, contains 268f cubic inches. A Winchester bushel is 18£ inches in diameter, 8 inches deep, and contains 2150$ cubic inches.
Page 139 - Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Page 244 - A man was hired 50 days on these conditions, — that, for every day he worked, he should receive $ '75, and, for every day he was idle, he should forfeit $ '25 ; at the expiration of the time, he received $27'50; how many days did he work...
Page 80 - Reduce 9s. 13', 25' to seconds. • 72. In 1020300", how many degrees ? The following are denominations of things not included in the Tables : — 12 particular things - make - 1 dozen. 12 dozen -,------1 gross. 12 gross, or 144 dozen, - - - - 1 great gross. Also, 20 particular things - make - 1 score.
Page 105 - Divide the greater number by the less, and that divisor by the remainder, and so on, always dividing the last divisor by the last remainder, till nothing remain.
Page 259 - EF, or his certain attorney, his executors, administrators, or assigns, to which payment, well and truly to be made, I bind myself, my heirs, executors and administrates, firmly by these presents.
Page 221 - The first term, the last term, and the number of terms be ing given, to find the common difference. RULE. — (') Divide the difference of the extremes by the number of terms less 1, and the quotient will be the common difference. liiieslinn. — 1. How do you find the common difference? EXAMPLES. 1. The extremes are 2 and 53, and the number of terms 18, required the
Page 126 - How does it appear, that in multiplying both terms of the fraction by the same number the value of the fraction is not altered?
Page 102 - To reduce a mixed number to an improper fraction, — RULE : ^Multiply the whole number by the denominator of the fraction, to the product ad,d the numerator, and write the result over the denominator, EXAMPLES FOR PRACTICE.