This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1854 Excerpt: ...quotient is to be understood in this restricted sense when used for ratio. this light; indeed, you will often find the term proportion to be briefly defined as "an equality of ratios," or quotients. (69.) I think, from this explanation, you clearly see the meaning of ratio, as applied to two numbers, and of proportion, ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1854 Excerpt: ...quotient is to be understood in this restricted sense when used for ratio. this light; indeed, you will often find the term proportion to be briefly defined as "an equality of ratios," or quotients. (69.) I think, from this explanation, you clearly see the meaning of ratio, as applied to two numbers, and of proportion, as applied to four; that if two numbers were proposed, you could tell the ratio of the first to the second; and that if four were proposed, you could find out whether they were in proportion or not: thus, if the two numbers 24 and 6 were proposed, you would know that the ratio of the first to the second is 4; that the ratio of 8 to 2 is also 4; and you would thus infer, that the four numbers, . 24, 6, 8, 2, are in proportion; or, that 24: 6:: 8:2. Again; the ratio of 17 to 4 is 3f, so that the four numbers, 24, 6, 17, 4, are not in proportion; the ratio of the first to the second being greater than the ratio of the third to the fourth. In like manner, the ratio of 6 to 8 is-f or A; and the ratio of 15 to 20 is % or-J; therefore, 6: 8:: 15: 20; also, 6: 8:: 3: 4. When you have once got an antecedent and consequent, that is, the two terms of a ratio, you can easily get another antecedent and consequent, that is, two other terms, in the same ratio; and can thus form a proportion, having the given antecedent and consequent for the first two terms of it: suppose, for instance, you had 6 and 8 for antecedent and consequent, and you wanted a proportion in which 6 and 8 should stand first; you have only to remember, that the ratio of 6 to 8 is expressed by the fraction -, and that numerator and denominator of a fraction may be multiplied or divided by any number you please, in order to get as many other suitable pairs of numbers as you...
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Add this copy of Rudiment to cart. $46.69, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2010 by Nabu Press.
