An Introduction to Algebra: Being the First Part of a Course of Mathematics, Adapted to the Method of Instruction in the American Colleges (Classic Reprint) - Couverture souple

Day, Jeremiah

Couverture souple

ISBN 10 : 1440050430 ISBN 13 : 9781440050435

Editeur : Forgotten Books, 2024

A propos du livre

Présentation de l'éditeur

But motum though a quantity, is not, strictly speaking, a magnitude. It has neither length, breadth, nor thickness. 6. Trigonometry and Conic Sections are branches of the mathematics, in which the principles of geometry are applied to triangles, and the sections of a cone. 7. Mathematics are either pure or mixed. In pure mathematics, quantities are considered, independently of any substances actually existing. But, in mixed mathematics, the relations of quantities are investigated, in connection with some of the properties of matter, or with reference to the common transactions of business. Thus, inS urveying, mathematical principles are applied to the measuring of land; in Optics, to the properties of light; and in A stronomy, to the motions of the heavenly bodies. 8. The science of the pure mathematics has long been distinguished, for the clearness and distinctness of it principles ;and the irresistible conviction, which they carry to the mind of every one who is once made acquainted with them. This is to be ascribed, partly to the nature of the subjects, and partly to the exactness of the definitions, the axioms, and the demonstrations. 9. The foundation of all mathematical knowledge must be laid in definitions. A definition is an explanation of what is meant, by any word or phrase. Thus, an equilateral triangle is defined, by saying, that it is a figure bounded by three equal sides. It is essential to a complete definition, that it perfectly distinguish the thing defined, from every thing else. On many subjects it is difllicult to give such precision to language, that it shall convey, to every hearer or reader exactly the same ideas. But, in the mathematics, the piincipal terms may be BO defined, as not to leave room for the least difierence of apprehension, respecting their meaning. All must be agieed, as to the nature of a circle, a square, and a trian
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Présentation de l'éditeur

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2024
• ISBN 10: 1440050430
• ISBN 13: 9781440050435
• Reliure: Broché
• Langue: anglais
• Nombre de pages: 425