Method of Exhaustion | Method of exhaustion, Area, Shape, Inscribed figure, Polygon, Eudoxus of Cnidus, Grégoire de Saint-Vincent, Proof by contradiction, Reductio ad absurdum, Calculus

Frederic P. Miller (u. a.)

ISBN 10: 6130701748 / ISBN 13: 9786130701741

Published by OmniScriptum, 2026

About this Item

Method of Exhaustion | Method of exhaustion, Area, Shape, Inscribed figure, Polygon, Eudoxus of Cnidus, Grégoire de Saint-Vincent, Proof by contradiction, Reductio ad absurdum, Calculus | Frederic P. Miller (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786130701741 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand.

Seller Inventory # 113238793

Bibliographic Details

• Title: Method of Exhaustion | Method of exhaustion, Area, Shape, Inscribed figure, Polygon, Eudoxus of Cnidus, Grégoire de Saint-Vincent, Proof by contradiction, Reductio ad absurdum, Calculus
• Publisher: OmniScriptum
• Publication Date: 2026
• Language: English
• ISBN 10: 6130701748
• ISBN 13: 9786130701741
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 6D millimeters 220 millimeters width by 150 millimeters height by 6 millimeters depth
• Weight: 155 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The method of exhaustion is a method of finding the area of a shape by inscribing inside it a sequence of polygons whose areas converge to the area of the containing shape. If the sequence is correctly constructed, the difference in area between the n-th polygon and the containing shape will become arbitrarily small as n becomes large. As this difference becomes arbitrarily small, the possible values for the area of the shape are systematically "exhausted" by the lower bound areas successively established by the sequence members. The idea originated with Antiphon, although it is not entirely clear how well he understood it.The theory was made rigorous by Eudoxus. The first use of the term was in 1647 by Grégoire de Saint-Vincent in Opus geometricum guadraturae circuli et sectionum coni.The method of exhaustion typically required a form of proof by contradiction, known as reductio ad absurdum. This amounts to finding an area of a region by first comparing it to the area of a second region.