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Euclid$26176$ - vertaling naar nederlands
CITY IN CUYAHOGA COUNTY, OHIO, UNITED STATES
Euclid, OH; UN/LOCODE:USEUC; Euclid (city, Ohio); Euclid,ohio; Euclid, oh; Euclid, Oh; History of Euclid, Ohio
 - Old City Hall.jpg?width=200)
Euclid
n. Euclides (Grieks wiskundige, vader van de euclidische meetkunde)
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
vlakke meetkunde
Pythagorean theorem
![Geometric proof of the Pythagorean theorem from the ''[[Zhoubi Suanjing]]''](https://commons.wikimedia.org/wiki/Special:FilePath/Chinese pythagoras.jpg?width=200 "Geometric proof of the Pythagorean theorem from the ''[[Zhoubi Suanjing]]''")
![The [[spiral of Theodorus]]: A construction for line segments with lengths whose ratios are the square root of a positive integer](https://commons.wikimedia.org/wiki/Special:FilePath/Euclid Corollary 5.svg?width=200 "The [[spiral of Theodorus]]: A construction for line segments with lengths whose ratios are the square root of a positive integer")
![[[Hyperbolic triangle]]](https://commons.wikimedia.org/wiki/Special:FilePath/Hyperbolic triangle.svg?width=200 "[[Hyperbolic triangle]]")
![(r<sub>2</sub>, θ<sub>2</sub>)}} in [[polar coordinates]] is given by the [[law of cosines]]. Interior angle Δθ = θ<sub>1</sub>−θ<sub>2</sub>.](https://commons.wikimedia.org/wiki/Special:FilePath/Law of cosines2.svg?width=200 "(r<sub>2</sub>, θ<sub>2</sub>)}} in [[polar coordinates]] is given by the [[law of cosines]]. Interior angle Δθ = θ<sub>1</sub>−θ<sub>2</sub>.")
![Distance between infinitesimally separated points in [[Cartesian coordinates]] (top) and [[polar coordinates]] (bottom), as given by Pythagoras' theorem](https://commons.wikimedia.org/wiki/Special:FilePath/Line elements2.svg?width=200 "Distance between infinitesimally separated points in [[Cartesian coordinates]] (top) and [[polar coordinates]] (bottom), as given by Pythagoras' theorem")
RELATION IN EUCLIDEAN GEOMETRY AMONG THE THREE SIDES OF A RIGHT TRIANGLE
PythagoreanTheorem; Pythagorean Theorm; Pythagoras' Theorem; Pythagoras' theorem; Pythagorean Theorem; Pythagoras theorem; Pythagorean Theorum; Pythagoras' Theorem Proof; Pythagoras's Law; Pythagoras’ theorem; Pythagoras’ Theorem; Pythagorean theorum; Pythagorean equation; A² + b² = c²; A²+b²=c²; A2 + b2 = c2; A2+b2=c2; Pythagoras's theorem; Pythagorus's theorem; Pythagorus's theorum; Pythagoras's theorum; The Pythagorean theorem; Pythagorus' theorum; Pythagoras theory; Pythagorean Thm; Theorem of Pythagoras; 47th Problem of Euclid; Pythagorean theorem proof; Pythagoras Theorem; A^2+b^2=c^2; Pyth. thm; Pyth. theorem; Converse of Pyth. thm; Converse of Pyth. theorem; Pythagorean formula; Pythagorean theory; Gougu theorem; Gougu; Pythagoras' law; Gougu's Theorem; Generalizations of the Pythagorean theorem
wet van Pythagoras
Definitie
Euclid
·noun A Greek geometer of the 3d century ·b.c.; also, his treatise on geometry, and hence, the principles of geometry, in general.
Wikipedia
Euclid, Ohio
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Euclid is a city in Cuyahoga County, Ohio, United States. It is an inner ring suburb of Cleveland. The population was 49,692 at the 2020 census, making it the fourth largest city in Cuyahoga County, behind Cleveland, Parma and Lakewood.
