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планиметрия - translation to English
РАЗДЕЛ ЕВКЛИДОВОЙ ГЕОМЕТРИИ О ФИГУРАХ НА ПЛОСКОСТИ
Плоская геометрия
планиметрия
f.
planimetry, plane geometry
planimetry, plane geometry
plane geometry
![A disproof of Euclidean geometry as a description of physical space. In a 1919 test of the general theory of relativity, stars (marked with short horizontal lines) were photographed during a solar [[eclipse]]. The rays of starlight were bent by the Sun's gravity on their way to Earth. This is interpreted as evidence in favor of Einstein's prediction that gravity would cause deviations from Euclidean geometry.](https://commons.wikimedia.org/wiki/Special:FilePath/1919 eclipse negative.jpg?width=200 "A disproof of Euclidean geometry as a description of physical space. In a 1919 test of the general theory of relativity, stars (marked with short horizontal lines) were photographed during a solar [[eclipse]]. The rays of starlight were bent by the Sun's gravity on their way to Earth. This is interpreted as evidence in favor of Einstein's prediction that gravity would cause deviations from Euclidean geometry.")
![invariant]]s and studying them is the essence of geometry.](https://commons.wikimedia.org/wiki/Special:FilePath/Congruentie.svg?width=200 "invariant]]s and studying them is the essence of geometry.")
![René Descartes. Portrait after [[Frans Hals]], 1648.](https://commons.wikimedia.org/wiki/Special:FilePath/Frans Hals - Portret van René Descartes.jpg?width=200 "René Descartes. Portrait after [[Frans Hals]], 1648.")
![Squaring the circle: the areas of this square and this circle are equal. In 1882, it was proven that this figure cannot be constructed in a finite number of steps with an idealized [[compass and straightedge]].](https://commons.wikimedia.org/wiki/Special:FilePath/Squaring the circle.svg?width=200 "Squaring the circle: the areas of this square and this circle are equal. In 1882, it was proven that this figure cannot be constructed in a finite number of steps with an idealized [[compass and straightedge]].")
![The ''[[pons asinorum]]'' or ''bridge of asses theorem'' states that in an isosceles triangle, α = β and γ = δ.](https://commons.wikimedia.org/wiki/Special:FilePath/pons_asinorum_dzmanto.png?width=200 "The ''[[pons asinorum]]'' or ''bridge of asses theorem'' states that in an isosceles triangle, α = β and γ = δ.")
![The ''[[Pythagorean theorem]]'' states that the sum of the areas of the two squares on the legs (''a'' and ''b'') of a right triangle equals the area of the square on the hypotenuse (''c'').](https://commons.wikimedia.org/wiki/Special:FilePath/Pythagorean.svg?width=200 "The ''[[Pythagorean theorem]]'' states that the sum of the areas of the two squares on the legs (''a'' and ''b'') of a right triangle equals the area of the square on the hypotenuse (''c'').")
![''[[Thales' theorem]]'' states that if AC is a diameter, then the angle at B is a right angle.](https://commons.wikimedia.org/wiki/Special:FilePath/Thales' Theorem Simple.svg?width=200 "''[[Thales' theorem]]'' states that if AC is a diameter, then the angle at B is a right angle.")
![level]]](https://commons.wikimedia.org/wiki/Special:FilePath/us land survey officer.jpg?width=200 "level]]")
![orange]]s.](https://commons.wikimedia.org/wiki/Special:FilePath/Ambersweet oranges.jpg?width=200 "orange]]s.")
MATHEMATICAL SYSTEM ATTRIBUTED TO EUCLID
Geometry in R2; Euclid's postulates; Plane Geometry; Euclidean Geometry; Euclidian geometry; Geometry Postulates; Two dimensional geometry; Two-dimensional geometry; Noncoordinate geometry; Orthogonal geometry; Euclid's axioms; Euclidean geometry of the plane; Euclid axioms; Euclid postulates; Euclidean axioms; Axioms of geometry; Euclidean plane geometry; Fundamental concepts of geometry; Plane geometry; Classical geometry; Planar geometry; Geometry of Euclid; Euclid's second postulate; Euclid's third postulate; Euclid's fourth postulate; Applications of Euclidean geometry; 2D geometry
планиметрия
полупрямая
ЧАСТЬ ПРЯМОЙ, СОСТОЯЩАЯ ИЗ ДАННОЙ ТОЧКИ И ВСЕХ ТОЧЕК, ЛЕЖАЩИХ ПО ОДНУ СТОРОНУ ОТ НЕЁ
Открытый луч; Полупрямая; Луч (планиметрия)
f.
ray, half-line
ray, half-line
Definition
планиметрия
Wikipedia
Планиметрия
Планиме́трия (от лат. planum — «плоскость», др.-греч. μετρεω — «измеряю») — раздел евклидовой геометрии, изучающий двумерные (одноплоскостные) фигуры, то есть фигуры, которые можно расположить в пределах одной плоскости: треугольники, окружности, параллелограммы и т. д.
Первое систематическое изложение планиметрии было дано Евклидом в его труде «Начала».
Examples of use of планиметрия
1. Практически все наши дальние космические полеты - это скорее планиметрия, чем стереометрия.
2. Соединительная буква И появляется и в части слов со вторыми частями -метрия (планиметрия, дозиметрия), а также -фикация, -фицировать (электрификация, газификация, интенсифицировать, русифицировать). Так что слово газификация, как видите, подпадает под действие очень маленького, очень частного, но правила!
3. Бесплатно: Набор из девяти полных образовательных курсов по естественным наукам: "Открытая Физика 1 и 2", "Открытая Математика: Планиметрия, Стереометрия, Алгебра, Функции и графики", "Открытая Химия", "Открытая Астрономия", "Открытая Биология" ((c)ФИЗИКОЙ). Эти образовательные курсы неоднократно отмечались наградами на различных международных выставках и форумах (CeBIT, E-Learn Expo, SofTool, "Информационные технологии в образовании" и др.) и допущены Министерством образования РФ в качестве учебного пособия для учеников 7-11 классов.
