# Rudimentary Arithmetic for the Use of Schools

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1849 edition. Excerpt: ...hare, pursued by a dog, was 86 yards before him at starting; whilst the hare ran 5 yards, the dog ran 7: how far had The dog run when he caught the hare? Ans. 301 yards. 68. A thief, pursued by a policeman, is 144 of his own steps ahead; now the thief takes four steps while the policeman takes 3, but the policeman goes as far in 2 steps as the thief goes in 3: how many steps must the policeman take to catch the thief? Ans. 864. What is ratio? Is the value of a ratio altered by dividing or multiplying both its terms by a common divisor or multiplier? What is the value of the following ratios, 16: 2, 20: 6, 4: 1, 9: 12, 16: 24? Name other ratios equal to the above. What is proportion? What is that property of proportion from which the Rule of Three is derived? Name four numbers in proportion. Name the fourth term in the following cases; 2: 5:: 10, 3: 12:: 1, 6: 9:: 2, 50: 15:: 100. Which terms of a proportion may be divided by a common divisor? Would the fourth term remain the same if the second and third were transposed? In stating a question in the Kule of Three, which term should be like the answer? How do you determine where to place the other two terms? Which do you reduce to the same name? How'must the other term be reduced? Is reduction of the terms sometimes unnecessary? What step do you take after performing the necessary reductions? In what name does the. fourth term come in? What operation do you perform upon the remainder, if there is one? How would you prove a sum in proportion? In compound proportion, which terms are multiplied together for a dividend, and which for a divisor? What caution must be observed in setting down the ratios in compound proportion? Mention some of the principal rules in arithmetic to which proportion...