Items related to Concise system of arithmetic, re-arranged and enlarged...
Synopsis
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. 1881 Excerpt: ... partial divisor, by which divide the dividend, omitting the right-hand figure; place the result both in the root and on the right of the divisor; then multiply the divisor thus completed by this figure, and subtract the product from the dividend, and to the remainder annex the next period for a new dividend. To the completed divisor add the figure last placed in the root, for a new divisor, with which proceed as before. Ex.--Required the square root of 331776. Ans. 576. 331776 ( 576 root. 25 576 Note 1. If there is a remainder after all the periods are used, the root may be continued decimally by annexing periods of two ciphers to each remainder. Note 2. Any figure of the root is an integer, or a decimal, according as the period from which it arises is an integer or decimal. Note 3. The root of a fraction is found by taking the roots of its terms, if it can be done exactly; if not, the fraction must be reduced to a decimal, and its root taken. Find the Square Roots of, ynrrr. i A mean proportional between two given numbers root of their product. 28. Find a mean proportional between 4 and 36; 42J and 4; 16 and 9; 52 and 12; 7 and 135; 2-16 and-75. Note 2. The side of a square equal in area to any given surface is the square root of the given area. 29. The area of a circle is-7854; required the side of a square equal in area thereto. 30. A gentleman has a fish-pond, in the form of a triangle, containing 480 perches; he wishes another of equal area, in the form of a square; required its side. 31. A plantation of an irregular form, contains 6400 perches, another of a square form is wanted 3 times as large; required the length of its side. 32. A clergyman's glebe consists of 4 fields; the first contains 2 acres 3 roods 4 per.; 2d, 3 ac. 1 ro. 20 per.; 3d, 1 ac....
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