Analytic geometry (Plane and solid) - Couverture souple

Mohamed Hessein, Mohamed Ismail

 
9783330966109: Analytic geometry (Plane and solid)

Synopsis

Geometry, at its start, was largely arithmetical in nature. It dealt with lengths from the surveyor's point of view, according to which every length is expressible as an exact multiple of some one length selected as the unit, or of certain subdivisions of this selected length such that it contains one subdivision as exact integral number of times. The Greeks, however, soon saw that there existed lengths which could not be expressed as exact integral or fractiona1 multiples of the unit of 1ength. Pythagorus, for example, showed that if the side of a square was one unit of length, then no subdivision of that unit could be found which would enable the diagonal to be expressed in terms of the side by means of a finite ratio.

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Présentation de l'éditeur

Geometry, at its start, was largely arithmetical in nature. It dealt with lengths from the surveyor's point of view, according to which every length is expressible as an exact multiple of some one length selected as the unit, or of certain subdivisions of this selected length such that it contains one subdivision as exact integral number of times. The Greeks, however, soon saw that there existed lengths which could not be expressed as exact integral or fractiona1 multiples of the unit of 1ength. Pythagorus, for example, showed that if the side of a square was one unit of length, then no subdivision of that unit could be found which would enable the diagonal to be expressed in terms of the side by means of a finite ratio.

Biographie de l'auteur

PhD (name of University and date)Kiev University (Old USSR) 1972 – Faculty of Mathematics.MSc (name of University and date)Cairo University 1968 – Faculty of Science.BSc (name of University and date)Cairo University 1965 – Faculty of Science.

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