An Etymological Dictionary of Astronomy and Astrophysics
English-French-Persian

فرهنگ ریشه شناختی اخترشناسی-اخترفیزیک

M. Heydari-Malayeri    -    Paris Observatory

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Number of Results: 9 Search : geometry
affine geometry
  هندسه‌ی ِ کروَن   
hendese-ye karvan

Fr.: géométrie affine   

The study of the properties which are → invariant under → affine transformations.

affine; → geometry.

analytic geometry
  هندسه‌ی ِ آنالسی   
hendese-ye ânâlasi

Fr.: géométrie analytique   

The study of the geometry of figures by algebraic representation and manipulation of equations describing their positions, configurations, and separations.

analytic; → geometry.

differential geometry
  هندسه‌ی ِ دگرسانه‌ای   
hendese-ye degarsâneyi

Fr.: géométrie différentielle   

The study of curved spaces using differential calculus.

differential; → geometry.

Euclidean geometry
  هندسه‌ی ِ اقلیدوسی   
hendese-ye Oqlidosi (#)

Fr.: géométrie euclidienne   

The geometry based on the postulates or descriptions of Euclid. One of the critical assumptions of the Euclidean geometry is given in his fifth postulate: through a point not on a line, one and only one line be drawn parallel to the given line. See also → non-Euclidean geometry.

Euclidean; → geometry.

geometry
  هندسه   
hendesé (#)

Fr.: géométrie   

The branch of mathematics that deals with the nature of space and the size, shape, and other properties of figures as well as the transformations that preserve these properties.

From O.Fr. géométrie, from L. geometria, from Gk. geometria "measurement of earth or land," from → geo- + -metria, from metrein "to measure," → -metry.

Hendesé, Mid.Pers. handâxtan "to measure," Manichean Mid.Pers. hnds- "to measure," Proto-Iranian ham-, → com-, + *das- "to heap, amass;" cf. Ossetic dasun/dast "to heap up;" Arm. loanword dasel "to arrange (a crowd, people)," das "order, arrangement,"

non-Euclidean geometry
  هندسه‌ی ِ نا-اقلیدوسی   
hendese-ye nâ-oqlidosi (#)

Fr.: géométrie non-euclidienne   

Any of several geometries which do not follow the postulates and results of Euclidean geometry. For example, in a non-Euclidean geometry through a point several lines can be drawn parallel to another line. Or, the sum of the interior angles of a triangle differs from 180 degrees. According to Einstein's general relativity theory, gravity distorts space into a non-Euclidean geometry.

non-; → Euclidean geometry.

Riemann's geometry
  هندسه‌ی ِ ریمان   
hendese-ye Riemann

Fr.: géométrie de Riemann   

Same as → Riemannian geometry.

Riemannian; → geometry.

Riemannian geometry
  هندسه‌ی ِ ریمانی   
hendese-ye Riemanni

Fr.: géométrie riemannienne   

A → non-Euclidean geometry in which there are no → parallel lines, and the sum of the → angles of a → triangle is always greater than 180°. Riemannian figures can be thought of as figures constructed on a curved surface. The geometry is called elliptic because the section formed by a plane that cuts the curved surface is an ellipse.

Riemannian; → geometry.

spherical geometry
  هندسه‌ی ِ کُره‌ای   
hendese-ye kore-yi

Fr.: géométrie sphérique   

The branch of geometry that deals with figures on the surface of a sphere (such as the spherical triangle and spherical polygon). It is an example of a non-Euclidean geometry.

spherical; → geometry.