ISBN: 9781152340916

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 … Plus…

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. 1830 edition. Excerpt: ...The second power of 720 can have no significant figure below hundreds, and the significant figures of the second power of 720 and of 72 are the same; the former is 518400, the latter 5184. If from the whole number 527076 the two right hand figures be rejected, the number is 5270. This contains the second power of 72 and something more, viz. a part of the product 2 X (700 4-20) X 6 = 2 (a 4-b) c. The method of procedure then, is to find the largest root contained in 5270. The first three terms of the above formula, viz. ''-f-2 a b-f-b'', show, that this is to be found by the method given above for finding a root consisting of two figures. 86 The root is 72, and the remainder is 86. Annex to this the two figures rejected above, and it becomes 8676. This contains 2 (a-f-6) c 4-c''; that is, 2 X 720 X c + c''. If 8676 be divided by 2 X 720 = 1440, the quotient will be either c or a number larger by 1 or 2. The zero on the right of 1440, and the right hand figure in the dividend may b omitted without affecting the quotient. The quotient is 6. Put 6 into the root and raise the whole to the second power. 726 X 726 = 527076 12 Operation. 52,70,76 (726 = root. 49 1st dhidend 37,0 (14 = 1st divisor. 72 X 72 = 51,84 2d dividend = 867,6 (144 == 2d divisor. 726 X 726 = 527,076.-There is, however, a method, which will save considerable labour in multiplying. In the last example, for instance, having found the second figure of the root 2, instead of raising the whole 72 to the second power, we may abridge it very much by observing, that the second power of the 70, answering to a in the formula, has already been found and subtracted; therefore it only remains to find 2 a b-4-//, and subtract it also. But the 140 is 2 n, and the figure 2 found for... Warren Colburn, Books, History, An Introduction To Algebra Upon The Inductive Method Of Instruction Books>History Publisher: Boston: Cummings, Hilliard Publication date: 1826 Subjects: Algebra Notes: This is an OCR reprint. There may be numerous typos or missing text. There are no illustrations or indexes. When you buy the General Books edition of this book you get free trial access to Million-Books.com where you can select from more than a million books for free. You can also preview the book there.<