Synopsis
Explore the ideas of maximum area, minimal perimeter, and how figures fit inside circles and polygons. This section builds intuition for why certain shapes maximize or minimize key quantities in plane geometry.
Within the book, you’ll encounter proofs and corollaries about maxima and minima for polygons, isoperimetric figures, and the relationships between sides, perimeters, and areas. The discussion uses classic constructions and step-by-step reasoning to show how optimal figures can be identified and compared, with exercises to reinforce the concepts.
- How inscribed polygons relate to area and perimeter, including when a circle or regular polygon is the best choice.
- How proportional segments and similar triangles underpin many geometric optimization results.
- Concrete methods to compare shapes and justify which configurations maximize or minimize a given measure.
- Practice exercises that apply these ideas to triangles, polygons, and basic figures.
Ideal for readers who want solid, hands‑on methods in plane geometry and clear proofs of key optimization ideas.
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Plane and Solid Geometry Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9780365428947
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Plane and Solid Geometry Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9780365428947
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