Euclid$26176$ - translation to greek
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Euclid$26176$ - translation to greek

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
  • Workers in Euclid during World War II

Euclid      
n. ευκλείδης
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.
  • A sphere has 2/3 the volume and surface area of its circumscribing cylinder. A sphere and cylinder were placed on the tomb of Archimedes at his request.
  • Congruence of triangles is determined by specifying two sides and the angle between them (SAS), two angles and the side between them (ASA) or two angles and a corresponding adjacent side (AAS). Specifying two sides and an adjacent angle (SSA), however, can yield two distinct possible triangles unless the angle specified is a right angle.
  • invariant]]s and studying them is the essence of geometry.
  • René Descartes. Portrait after [[Frans Hals]], 1648.
  • The parallel postulate (Postulate 5): If two lines intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough.
  • 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]].
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
επιπεδομετρία
vector addition         
GEOMETRIC OBJECT THAT HAS MAGNITUDE (OR LENGTH) AND DIRECTION
Vector (classical mechanics); Three-vector; Vector sum; Vector addition; Spatial vector; Vector (physics); Vector subtraction; Relative vector; Spacial vector; Physical vector; Vector methods (physics); Vector component; Component (vector); Bound vector; Vector (spatial); Vector (geometry); Free vector; Vector (geometric); Triangle law; Euclidean vectors; Vector direction; Vector components; 3d vector; Euclid vector; 3D vector; Geometric vector; Magnitude of resultant vector; Euclidian vector; Vector quantity; Resultant vector; Antiparallel vectors
διανυσματική πρόσθεση

Definition

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

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.