Geometry for Schools, Theoretical (Classic Reprint): A Sequel to Elementary Plane Geometry, Inductive and Deductive: A Sequel to Elementary Plane Geometry, Inductive and Deductive (Classic Reprint) - Softcover

Inhaltsangabe

Explore the geometry of poles and polars with a rigorous, hands‑on approach. This classic text offers clear methods for constructing polars and finding related points, tangents, and harmonic divisions in circle geometry. It emphasizes exact reasoning, visual proofs, and structured exercises that sharpen both understanding and problem‑solving skills.

Designed for students who value a deductive path through plane geometry, the book balances theory with practical construction techniques. It guides the reader from defining a pole to deriving properties of polars, chords, and tangents, all within a cohesive framework that ties together core circle theorems and geometric relations.

• Learn how to construct the polar of a given point and how the polar interacts with chords and tangents.


• Understand harmonic divisions and how polars encode geometric relationships on a circle.


• Apply ruler‑only constructions to locate tangents and poles when the circle’s center is unknown.


• Work through exercises that reinforce propositions and extend to more advanced configurations.

Ideal for readers of classical geometry who seek a clear, structured treatment of poles and polars within a broader study of plane geometry.

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