The Complete Practical Arithmetician; Containing Several New and Useful Improvements. Adapted to the Use of Schools and Private Tuition

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. 1822 Excerpt: ...the times; wherefore, when neither are equal, the shares must be as their products. 2. When there are many partners concerned, divide the whole gairi or loss by the sum of the products of each man's stock and time, and the quotient will be a common multiplier, by which multiply the products of each man's stock and time separately, to obtain his share of the gain or loss.--This rule is best adapted to decimals. 3. The following roles and observations will be found very useful in solving difficult questions in Compound Fellowship: and, on this account, will doubtless be acceptable to the generality of readers. 4. Prop. 1. Given each man's stock and 'time, and dne man's gain, (or loss, ) to find each man's particular gain, (or loss, ) and consequently the whole Rule. As the product of that man's stock and time, whose gain or loss is given, is to his gain or loss, so is the product of any other niaii's stock and time to his gain or loss. 5. Prop. 2. Given each man's gain (or less) and time, and the whole Stock, to find each.man's particular stock. Rule. Multiply each man's gain or loss into all the times except his own. Then, as the sum of the products is to the whole stock, so is each man's product to his stock. 6. Prop. 3. Given each-man's gain, (or loss) and fane, and one man's stock, to find each man's particular stack. Rule. As that man's gain (or loss) whose stock is given, is to the "product of his stock and time, so is any other man's gain (or loss) to the product of his stock and time. These products, divided by their respective times, will give their separate stocks. 7. Prop. 4. Given each man's stock and gain (or lost) and the sum of their timet, to-find their particular times. Rule. Reduce each man's stock and gain (or loss.) into one denomination...