Mining; A Journal Devoted to the Interests of Mines and Mining Students Volume 3 (Paperback)

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. 1895 edition. Excerpt: ...first point over the unit figure (that is moving from right to left), thus 12345. If on the other hand we have decimals, then every second figure to the right must be pointed thus 6754. The same rule applies to decimals even when such figures as the following are used v-0654 or-0064, and as such figures as these perplex younger students, I will work out an example of each as a guide for future studies. Example I.--Find the square root of 627264. First of all separate the number given into periods of two figures each, commencing at the units figure and moving to the left thus 627264. We must now find the number whose square is the greatest contained in 62, this is found to be 7 whose square is 49, 1582 3164 /3'64 place this number underneath 62 and subtract this leaves 13. The 7 is put on the right hand side of the dividend as the first figure of the root required. To the right of 13 bring down the numbers of the next period which is 72, which makes the dividend 1372. We must now double 7, the part of the root already found, thus 7 + 7 = 14. This is placed on the left side of the dividend and forms a partial division. Leave out the right hand figure 2 and see how many times 14 is contained in 137, this is found to be 9. Annex this number to the partial division, making it 149; also to the part of the root already obtained making it 79. Multiply 149 by 9 and the product 1341 is placed in the dividend underneath 1374, from which it is subtracted and leaves a remainder of 31. Bring down the next period of two figures 64 and place them on the right hand side of 31 making it 3164. Double 79 the part of the root already obtained from a partial division 79 + 79 = J5' place this number on the left hand side of the dividend 3164. Leave out the 4 and see...