Excerpt from A Treatise on Arithmetic, in Theory and Practice: With an Appendix, Containing an Introduction to Mensuration The Definitions and Rules, which it may perhaps be proper for the learner to commit to' memory, are in the largest type employed in the work; the Examples and Ex s, and the principal illustrations, are in a character somewhat smaller the less t illustrations and remarks are in a type still smaller, and may perhaps be omitted by the younger pupil; and the notes contain miscellaneous information, which may often be interesting to the reader. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Excerpt from Treatise on Arithmetic, Practical and Theoretical (1.) The early period of life at which we begin to acquire ideas of number, and the influence produced on our minds by becoming familiar with the language of numeration before any notions of the higher classes of number are formed, throw great difficulties in the way of any attempt to retrace the steps by which the art of counting arrived at its present high state of perfection. Under these circumstances we must naturally direct our enquiries to the state of arithmetic among people less advanced in civilisation than ourselves. But it is a remarkable fact, that while other sciences are almost unknown beyond the limits of civilisation, there is no example of a people without a system of numeration more or less extensive and perfect, with the exception of a few savage tribes, whose notions of number are singularly limited. It is, however, apparent, that before a people could make any progress in numeration beyond a few of the smaller combinations which may be signified by the fingers, two things were indispensably necessary to be accomplished. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Excerpt from Treatise on Arithmetic, in Theory and Practice With an Appendix: Containing an Introduction to Mensuration The method of discovering the values of numbers already expressed by characters, is called Numeration. In modern arithmetic, all numbers are expressed by means of ten characters the cipher, or zero, 0, which has no value; and the nine significant figures, or digits, 1, 2, 3, 4, 5, 6, 7, 8, 9, which denote respectively the numbers one, two, three, four, five, six, seven, eight, nine. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Excerpt from An Elementary Treatise on Arithmetic, in Theory and Practice: Adapted to the Instruction of Youth in Schools and Academies in the United States But here it is to be observed, that the facility with which we can designate the highest numbers, and perform ever arithmetical calculation on them, has occasioned an insenss bility to the enormous magnitude of the numbers of which we speak. One billion is very easily mentioned. And easily designated by a unit followed by nine ciphers thus, The following consideration may, perhaps, assist in enlarging the ideas of the pupil on this subject to count a billion, at one per second, would require nearly thirty-two years. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Excerpt from An Elementary Treatise on Algebra: Theoretical and Practical The examples and exercises are, in the great majority of in stances, new. Several, however, have been taken from foreign, and particularly German, works and some are from English writers of past. Times, but none from living English authors, ex cept in a few instances in which improved solutions are given or indicated. Several instances of this kind will be found in the Chapter on the Diophantine Analysis. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.