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The Quadrature of the Parabola: Geometry, Archimedes, Parabola, Inscribed Figure, Method of Exhaustion, Geometric progression, Geometric Series, Integral, Euclid, Analytic Geometry - Couverture souple
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The Quadrature of the Parabola is a treatise on geometry, written by Archimedes in the 3rd century B.C. Written as a letter to his friend Dositheus, the work presents 24 propositions regarding parabolas, culminating in a proof that the area of a parabolic segment (the region enclosed by a parabola and a line) is 4/3 that of a certain inscribed triangle. The proof uses the method of exhaustion. Archimedes dissects the area into infinitely many triangles whose areas form a geometric progression. He computes the sum of the resulting geometric series, and proves that this is the area of the parabolic segment. This represents the most sophisticated use of the method of exhaustion in ancient mathematics, and remained unsurpassed until the development of integral calculus in the 17th century.
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The Quadrature of the Parabola
Edité par
VDM Verlag Dr. Müller E.K. Jan 2010, 2010
ISBN 10 : 6130352069
ISBN 13 : 9786130352066
Neuf
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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -High Quality Content by WIKIPEDIA articles! The Quadrature of the Parabola is a treatise on geometry, written by Archimedes in the 3rd century B.C. Written as a letter to his friend Dositheus, the work presents 24 propositions regarding parabolas, culminating in a proof that the area of a parabolic segment (the region enclosed by a parabola and a line) is 4/3 that of a certain inscribed triangle. The proof uses the method of exhaustion. Archimedes dissects the area into infinitely many triangles whose areas form a geometric progression. He computes the sum of the resulting geometric series, and proves that this is the area of the parabolic segment. This represents the most sophisticated use of the method of exhaustion in ancient mathematics, and remained unsurpassed until the development of integral calculus in the 17th century. Englisch. N° de réf. du vendeur 9786130352066
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The Quadrature of the Parabola | Geometry, Archimedes, Parabola, Inscribed Figure, Method of Exhaustion, Geometric progression, Geometric Series, Integral, Euclid, Analytic Geometry
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Taschenbuch. Etat : Neu. The Quadrature of the Parabola | Geometry, Archimedes, Parabola, Inscribed Figure, Method of Exhaustion, Geometric progression, Geometric Series, Integral, Euclid, Analytic Geometry | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786130352066 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. N° de réf. du vendeur 101358073
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The Quadrature of the Parabola : Geometry, Archimedes, Parabola, Inscribed Figure, Method of Exhaustion, Geometric progression, Geometric Series, Integral, Euclid, Analytic Geometry
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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! The Quadrature of the Parabola is a treatise on geometry, written by Archimedes in the 3rd century B.C. Written as a letter to his friend Dositheus, the work presents 24 propositions regarding parabolas, culminating in a proof that the area of a parabolic segment (the region enclosed by a parabola and a line) is 4/3 that of a certain inscribed triangle. The proof uses the method of exhaustion. Archimedes dissects the area into infinitely many triangles whose areas form a geometric progression. He computes the sum of the resulting geometric series, and proves that this is the area of the parabolic segment. This represents the most sophisticated use of the method of exhaustion in ancient mathematics, and remained unsurpassed until the development of integral calculus in the 17th century. N° de réf. du vendeur 9786130352066
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