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New Analytic Geometry - Gale Neeley Smith

New Analytic Geometry

By: Gale Neeley Smith

Paperback | 14 February 2026

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"New Analytic Geometry" is a comprehensive and structured guide to the principles of coordinate geometry, designed to bridge the gap between elementary algebra and higher mathematical analysis. This classic textbook provides a rigorous introduction to the study of geometric shapes through algebraic equations, offering a methodical approach to one of the most vital branches of mathematics.

The work covers essential topics such as the cartesian coordinate system, the properties of straight lines, and the detailed analysis of conic sections, including circles, parabolas, ellipses, and hyperbolas. It emphasizes the relationship between geometric loci and their corresponding algebraic representations, fostering a deep understanding of how transformations and rotations affect equations. Additionally, the text explores three-dimensional analytic geometry, introducing planes and quadric surfaces to the reader through clear proofs and illustrative examples.

Valued for its clarity and pedagogical precision, "New Analytic Geometry" remains a significant resource for students of mathematics and historians of science. It offers a foundational exploration of mathematical concepts that continue to underpin modern engineering, physics, and computational design. This work stands as a testament to early 20th-century mathematical education, providing timeless insights into the elegant intersection of geometry and algebra.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.

This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.

As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

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