The North American Arithmetic: Part Third, for Advanced Scholars, Volume 3 |
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Page 131
... RATIO . RATIO is the mutual relation of two quantities of the same kind to one another . By finding how many times one number is contained in another , or what part one ... ratio indicates how many times one number is XXV . 131 RATIO . Ratio.
... RATIO . RATIO is the mutual relation of two quantities of the same kind to one another . By finding how many times one number is contained in another , or what part one ... ratio indicates how many times one number is XXV . 131 RATIO . Ratio.
Page 132
... ratio by the other , and may be ex- pressed in the form of a fraction : thus , the ratio 6 : 3 may be expressed by the fraction , or conversely . When any two numbers are multiplied , each by the same number , the ratio of the products ...
... ratio by the other , and may be ex- pressed in the form of a fraction : thus , the ratio 6 : 3 may be expressed by the fraction , or conversely . When any two numbers are multiplied , each by the same number , the ratio of the products ...
Page 133
... ratio of the two first in the series is 2 , and that expressing the ratio of the two last is . These fractions , when reduced to a common denominator , become 12 and 12 ; and this equality of the two fractions expressing the two ratios ...
... ratio of the two first in the series is 2 , and that expressing the ratio of the two last is . These fractions , when reduced to a common denominator , become 12 and 12 ; and this equality of the two fractions expressing the two ratios ...
Page 134
... ratio may be multiplied or divided by the same number without altering the ratio , it follows , that all the terms of a proportion may be mul- tiplied or divided by the same number without disturbing the proportion . Let us take , for ...
... ratio may be multiplied or divided by the same number without altering the ratio , it follows , that all the terms of a proportion may be mul- tiplied or divided by the same number without disturbing the proportion . Let us take , for ...
Page 135
... ratios , may be multiplied or divided by the same number without destroying the proportion ; because the two ratios are increased or diminished alike , and therefore remain equal . Take the proportion 4 : 16 : 6:24 , and multiply each ...
... ratios , may be multiplied or divided by the same number without destroying the proportion ; because the two ratios are increased or diminished alike , and therefore remain equal . Take the proportion 4 : 16 : 6:24 , and multiply each ...
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Common terms and phrases
75 cents acres annuity annum avoirdupois bajocchi Bill breadth bushels called carats cask ciphers compound interest contain continual proportionals cost cube root denominator denoted diameter discount divided dividend divisor dollars 50 cents dry measure Ducat equal example exchange expressed Extract the square factors Federal money feet long figure Find a mean Flemish florin foot francs frustrum gallons given number Hamburgh hogshead hundred improper fraction least common multiple length London maravedis mean proportional measure merchant miles minuend mixed number months multiplied number of terms number of things ounces paid payable payment pence pezza places pound sterling pounds present worth quantity quotient ratio received Reduce remainder repetend rix dollar rods RULE rupee scudo series of continual shillings sold Spanish dollars square root sterling Subtract Suppose third power United vulgar fraction weight whole number wide wine yards of cloth
Popular passages
Page 114 - Multiply each debt by its term of credit, and divide the sum of the products by the sum of the debts. The quotient will be the average term of credit.
Page 178 - 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 7 - ... 11 eleven 12 twelve 13 thirteen 14 fourteen 15 fifteen 16 sixteen 17 seventeen 18 eighteen 19 nineteen 20 twenty 21 twenty-one...
Page 183 - Bring down the first figure of the next period to the remainder for a new dividend, to which find a new divisor as before, and in like manner proceed till the whole be finished.
Page 265 - ... last product by 95, the quotient whereof shall be deemed the true contents or tonnage of such ship or vessel; and if such ship or vessel be single-decked, take the length and breadth, as above directed, deduct from...
Page 184 - ... 5, 7, 9, 11, 13, 15, &c. is an ascending series. ( 15, 13, 11, 9, 7, 5, 3, &c. is a descending series. The numbers which form the series are called the terms of the series. The first and last terms are the extremes, and the other terms are called the means. There are five things in arithmetical progression, any three of which being given, the other two may be found : — 1st.
Page 7 - Cardinal numbers: 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...
Page 171 - ... is equal to the square root of the difference of the squares of the hypotenuse and the other leg.
Page 177 - Find how many times the divisor is contained in the dividend, and place the result in the quotient.
Page 178 - ... 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 in the dividend...