A treatise on the application of analysis to solid geometry

Gregory, Duncan Farquharson; Walton, William

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Persistent identifier:: 898898862

Author:: Gregory, Duncan Farquharson; Walton, William

Title:: A treatise on the application of analysis to solid geometry

Scope:: 1 Online-Ressource (XII, 276 Seiten, 3 gefaltete Blätter mit Bildtafeln)

Year of publication:: 1845

Place of publication:: Cambridge

Publisher of the original:: Deighton

Identifier (digital):: 898898862

Language:: English

Usage licence:: Public Domain Mark 1.0

Publisher of the digital copy:: Technische Informationsbibliothek Hannover

Place of publication of the digital copy:: Hannover

Year of publication of the original:: 2017

Document type:: Monograph

Collection:: Mathematics

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Title:: CHAPTER XII. ON PARTIAL DIFFERENTIAL EQUATIONS TO FAMILIES OF SURFACES.

Document type:: Monograph

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r TUBULAR SURFACES. 207 at once effect the proposed transformations. Thus, the equation to developable surfaces becomes rt - s 2 = 0, and the equation to tubular surfaces (1 4 p 2 + q 2 ) 2 ± p (1 + p 2 + q 2 )i {r (1 + q 2 ) - 2pqs + t (1 + p 2 )] + p 2 (rt - s 2 ) = o, the equations to these surfaces obtained in Arts. (253) and (254).

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