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. 1902 Excerpt: ...2, which shows that 28 is twice as great as 14. The ratio of 8 monkeys to 12 monkeys is a2-, or, which shows that 3 monkeys are of 12 monkeys. Why is there no ratio of 5 apples to 10 oranges? Of 6 to 3 men? Of 15 golf balls to 2 stymies? 279. The Terms of a ratio are the numbers compared, the first number being called ...
Read More
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. 1902 Excerpt: ...2, which shows that 28 is twice as great as 14. The ratio of 8 monkeys to 12 monkeys is a2-, or, which shows that 3 monkeys are of 12 monkeys. Why is there no ratio of 5 apples to 10 oranges? Of 6 to 3 men? Of 15 golf balls to 2 stymies? 279. The Terms of a ratio are the numbers compared, the first number being called the first term, dividend, numerator, or antecedent; the second being called the second term, divisor, denominator, or consequent. Since a ratio may be considered a fraction, all the principles of fractions apply to, and hold good for, ratios. What operations on its terms multiply a ratio? State the reasons. What operations divide a ratio? State the reasons. What operations do not change the value of a ratio? State the reasons. 280. A Direct Ratio is the quotient of the first term divided by the second. 281. An Inverse Ratio is the reciprocal of the direct ratio. Illustration. If-is a direct ratio, -is its inverse ratio. o a 282. A Compound Ratio is the product of two or more simple ratios. Illustration.-x-x-, or----, is a compound ratio. oaf bdj It is like what kind of fraction in arithmetic? 283. Two ratios are compared by reducing them to their Lowest Common Denominator and then comparing their numerators. Illustrations. Is =, or i? L.CD. o=48. U = H, and H = f ..: ##. 284. An Incommensurable Ratio is one which cannot be expressed by two integers, as--=' or---V o Numbers whose ratios can be exactly expressed are said to be Commensurable; all other numbers are said to be Incommensurable. The ratio of two incommensurable numbers can be found to any desired degree of approximation; as, Circumference + diameter = ir = 3.141592653589793 +. 285. A ratio may be =, or unity. When is a ratio = 1? When 1? When 1? Which ratio shows equality? Which...
Read Less
