An Elementary Treatise on Coordinate Geometry of Three Dimensions
An Elementary Treatise on Coordinate Geometry of Three Dimensions

Author: Robert J T Bell

Publisher: Legare Street Press

Published: 2022-10-26

Total Pages: 0

ISBN-13: 9781015556805

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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 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. 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.

Analytical Conics
Analytical Conics

Author: Barry Spain

Publisher: Courier Corporation

Published: 2007-01-01

Total Pages: 164

ISBN-13: 0486457737

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This concise text introduces students to analytical geometry, covering basic ideas and methods. Readily intelligible to any student with a sound mathematical background, it is designed both for undergraduates and for math majors. It will prove particularly valuable in preparing readers for more advanced treatments. The text begins with an overview of the analytical geometry of the straight line, circle, and the conics in their standard forms. It proceeds to discussions of translations and rotations of axes, and of the general equation of the second degree. The concept of the line at infinity is introduced, and the main properties of conics and pencils of conics are derived from the general equation. The fundamentals of cross-ratio, homographic correspondence, and line-coordinates are explored, including applications of the latter to focal properties. The final chapter provides a compact account of generalized homogeneous coordinates, and a helpful appendix presents solutions to many of the examples.

Solid Analytic Geometry
Solid Analytic Geometry

Author: Abraham Adrian Albert

Publisher: Courier Dover Publications

Published: 2016-07-19

Total Pages: 178

ISBN-13: 0486814688

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Concise text covers basics of solid analytic geometry and provides ample material for a one-semester course. Additional chapters on spherical coordinates and projective geometry suitable for longer courses or supplementary study. 1949 edition.

Tensor Calculus and Analytical Dynamics
Tensor Calculus and Analytical Dynamics

Author: John G. Papastavridis

Publisher: Routledge

Published: 2018-12-12

Total Pages: 444

ISBN-13: 1351411616

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Tensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus - in both holonomic and nonholonomic coordinates - as well as to its principal applications to the Lagrangean dynamics of discrete systems under positional or velocity constraints. The thrust of the book focuses on formal structure and basic geometrical/physical ideas underlying most general equations of motion of mechanical systems under linear velocity constraints. Written for the theoretically minded engineer, Tensor Calculus and Analytical Dynamics contains uniquely accessbile treatments of such intricate topics as: tensor calculus in nonholonomic variables Pfaffian nonholonomic constraints related integrability theory of Frobenius The book enables readers to move quickly and confidently in any particular geometry-based area of theoretical or applied mechanics in either classical or modern form.