Title: A Geometrical Curves Which Curves Isogonal Conjugate to a Straight, Line With Respect to a Triangle in Two Parts, Vol 1 of 2 Classic Reprint
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 1332532543
ISBN 13: 9781332532544
Binding: PAP
Condition: New
Weight: 145 grams

About this title

Synopsis

Discover how a straight line inside a triangle transforms into a conic, revealing deep links between geometry and perspective.

This book untangles isogonal conjugation and its surprising curves with clear, step-by-step reasoning.

In this two-part work, the author explores the concept of isogonal conjugates relative to a triangle and shows how a line can generate a whole family of curves. The discussion blends projective geometry with classical conics, offering concrete constructions and explanations that illuminate the subject for serious students of geometry.

Definitions and core ideas of isogonal conjugation with respect to a triangle
How lines map to conic sections, including hyperbolas, ellipses, and parabolas
Connections between Brocard’s diameter, Simson lines, and notable centers
Geometric methods and reasoning useful for higher plane curve study

Ideal for readers of advanced geometry and readers seeking a rigorous, construction‑driven approach to isogonality and conics in triangle geometry.

"About this title" may belong to another edition of this title.

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