The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for the Use of Schools in the United States |
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Page 72
... it must be obvious that if the second quantity of lemons were double the first
quantity , the price of the second quantity ... the price would be one half , and ,
generally , the prices would have the same relation to each other that the
quantities ...
... it must be obvious that if the second quantity of lemons were double the first
quantity , the price of the second quantity ... the price would be one half , and ,
generally , the prices would have the same relation to each other that the
quantities ...
Page 73
Designed for the Use of Schools in the United States Zadock Thompson. 192 —
196 . PROPORTION . 73 192 . The relation of one quantity , or number , to
another , is called the ratio ( 24 ) . In the first example , the ratio of the quantities is
as 4 ...
Designed for the Use of Schools in the United States Zadock Thompson. 192 —
196 . PROPORTION . 73 192 . The relation of one quantity , or number , to
another , is called the ratio ( 24 ) . In the first example , the ratio of the quantities is
as 4 ...
Page 82
When the prices and quantities of the simples are given , and it is required to find
the price of a given quantity of the mixture , as in the preceding example , it is
called ALLIGATION MEDIAL . RULE . 208 . Multiply cach quantity by its price ,
and ...
When the prices and quantities of the simples are given , and it is required to find
the price of a given quantity of the mixture , as in the preceding example , it is
called ALLIGATION MEDIAL . RULE . 208 . Multiply cach quantity by its price ,
and ...
Page 83
From the foregoing examples it appears , that the less the price of any simple
differs from that of the mixture , the quantity required of that simple to form the
mixture will be proportionately greater , and the greater the difference the less the
...
From the foregoing examples it appears , that the less the price of any simple
differs from that of the mixture , the quantity required of that simple to form the
mixture will be proportionately greater , and the greater the difference the less the
...
Page 84
When the whole composition is limited to a certain quantity . RULE . — Find the
differences by linking as before ; then say , As the sum of the quantities or
differences , thus determined : is to the given quantity : : so is each of the
differences : to ...
When the whole composition is limited to a certain quantity . RULE . — Find the
differences by linking as before ; then say , As the sum of the quantities or
differences , thus determined : is to the given quantity : : so is each of the
differences : to ...
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Common terms and phrases
acres added Addition amount ANALYSIS answer body bush bushels called cash cents Change ciphers column common compound contains cost cube cubic decimal denominator denoted diameter difference distance divide dividend division divisor dollars dolls equal evidently example expressed factors feet figures foot four fraction gain gallon give given greater half Hence hundred hundredths inches interest least left hand length less mean measure method miles months multiply names operation payment period person pound principal proceed proportion quantity QUESTIONS FOR PRACTICE quotient ratio receive Reduce remainder right hand rods root rule share shillings side simple solid square square root subtract supposed tens tenths third tion units vulgar weight whole worth write written yard
Popular passages
Page 82 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.
Page 89 - The greatest common divisor of two or more numbers, is the greatest number which will divide them without a remainder. Thus 6 is the greatest common divisor of 12, 18, 24, and 30.
Page 118 - PROBLEM II. The first term, the last term, and the number of terms 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 diffcrenct.
Page 111 - Subtract the square number from the left hand period, and to the remainder bring down the next period for a dividend. III. Double the root already found for a divisor ; seek how many times the divisor is contained in the dividend...
Page 94 - 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.
Page 120 - Add together the most convenient indices to make an index less by 1 than the number expressing the place of the term sought. 3. Multiply the terms of the geometrical series together belonging to those indices, and make the product a dividend. 4. Raise...
Page 115 - 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 31 - RULE. 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 2 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...
Page 93 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Bibliographic information
| Title | The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for the Use of Schools in the United States |
| Author | Zadock Thompson |
| Publisher | H. Johnson, 1838 |
| Original from | Harvard University |
| Digitized | 29 Jan 2007 |
| Length | 164 pages |
| Export Citation | BiBTeX EndNote RefMan |