Geometrical Conic Sections (Classic Reprint)

J. Stuart Jackson

ISBN 10: 1330205898 / ISBN 13: 9781330205891

Published by Forgotten Books, 2018

About this Item

Print on Demand. This book is a groundbreaking treatise that approaches the study of conic sections through the method of projections. It extends the knowledge of known curves such as the circle to derive properties of their projections, including the ellipse and both types of hyperbola. The author's prodigious use of geometrical reasoning and diagrams constructs an innovative framework for understanding conic sections, introducing many new properties and simplifying others to a form more easily remembered and applied. This work is significant as one of the earliest and most comprehensive studies of conic sections using the method of projections and remains a valuable resource to scholars and students alike. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Seller Inventory # 9781330205891_0

Bibliographic Details

• Title: Geometrical Conic Sections (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2018
• Language: English
• ISBN 10: 1330205898
• ISBN 13: 9781330205891
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Geometry

About this title

Synopsis

Master the geometry of conic sections through a clear, projection-based approach that builds understanding from first principles.

Geometrical Conic Sections presents the definitions and properties of the conic curves—ellipse, hyperbola, and parabola—by defining them as plane sections of a cone and exploring them with the method of projections. This elementary treatise guides readers from foundational concepts to practical results, making the subject accessible to students and self-learners alike. The book emphasizes how projections transform lines, angles, and tangents, helping readers grasp the true nature of each curve without relying on advanced prerequisites.

What you’ll find inside

• A systematic introduction to the method of projections and its use in studying conics.
• Clear development of the core figures: the cone, sphere, ellipse, hyperbola, and parabola.
• Step-by-step discussion of tangents, focal properties, chords, and directrices, with an eye toward calculable results.
• Worked connections between geometric construction and algebraic relationships, suitable for classroom reference or self-study.

You will experience

• A structured progression from definitions and constructions to key theorems and practical properties.
• Practical insights into how projection affects angles and lengths, improving geometric intuition.
• A solid foundation for further study in analytic geometry or advanced conic problems.

Ideal for readers of classic geometry, students preparing for exams, or anyone seeking a rigorous, hands-on treatment of conic sections using the powerful method of projections.