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. 1809 Excerpt: ...done. causes eff. causes eff. 4X36 24:: 12X21 J X12 252 X24 In this Example, because the unknown terms fall in the extremes, I multiply the means together for a dividend, and the extremes for a divisor; then the work is performed as in simple proportion. EXAMPLE IL If 4 men, in 36 days, can lay 24.squares of flooring, ...
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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. 1809 Excerpt: ...done. causes eff. causes eff. 4X36 24:: 12X21 J X12 252 X24 In this Example, because the unknown terms fall in the extremes, I multiply the means together for a dividend, and the extremes for a divisor; then the work is performed as in simple proportion. EXAMPLE IL If 4 men, in 36 days, can lay 24.squares of flooring, hovi many men must be employed to complete 42 squares in 21 days? causes eff. causes eff. 4X36: 24; 21 42 X36 252 126 1512 4 24X21=504)6048(12 men=x 504 1008 1008 In this Example, because the unknown term is in the means, I therefore multiply the extremes together for a dividend, and divide by all the terms of the means multiplied together according to the Problem. EXAMPLE III. //' 1001. in 12 months gain 51. interest, what principal mil gain the same sum in 8 months? causes eff. causes eff. 100X12 J 5 JJ X8 J 5 12 8)1200 150 Principal. In this Example, because the second and fourth terms are the same, it will be of no use to multiply and divide by the same number. o 2 EX EXAMPLE IV. There was a certain building completed by 150 workmen in9 months, but by some accident it took fire, and was burnt down: how many men must be employed to complete a house twice as good as the former, so that it shall be finished in 12 months causes eff. causes eff. i5ox9: i:: xi2:2 9 1350 2 12)2700 Answer. 225 Workmen=.. EXAMPLE V. If the carriage of 150 feet of wood, that weighs three stone afoot, for 10 miles, ccmes to 31. how much will the carriage of Si feet of stone, that weighs S stone a foot, cost for 25 miles? causes eff. causes eff. The reason of all operations in compound proportion, will appear in a similar manner to the following: thus, in Example V. the expence of the carriage will be in proportion to the number of feet, if the weight and dist...
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