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Há 2 dias · He is considered one of the discoverers of non-Euclidean geometry alongside Nikolai Lobachevsky and János Bolyai and coined that term. Gauss was instrumental in the identification of the newly discovered Ceres as a dwarf planet.
Há 2 dias · An ellipse can be defined geometrically as a set or locus of points in the Euclidean plane: Given two fixed points F 1 , F 2 {\displaystyle F_{1},F_{2}} called the foci and a distance 2 a {\displaystyle 2a} which is greater than the distance between the foci, the ellipse is the set of points P {\displaystyle P} such that the sum of ...
Há 5 dias · Regular surfaces in Euclidean space. Examples. Local metric structure. Geodesic curves on a surface. Geodesic polar coordinates. Gauss–Bonnet theorem. Surfaces of constant curvature. Riemannian connection and parallel transport. Global differential geometry of surfaces. Reading guide. See also. Notes. References. External links.
Há 3 dias · Because its definition relates to the circle, π is found in many formulae in trigonometry and geometry, especially those concerning circles, ellipses and spheres. It is also found in formulae from other topics in science, such as cosmology , fractals , thermodynamics , mechanics , and electromagnetism .
Há 1 dia · Vector spaces generalize Euclidean vectors, which allow modeling of physical quantities, such as forces and velocity, that have not only a magnitude, but also a direction. The concept of vector spaces is fundamental for linear algebra, together with the concept of matrices, which allows computing in vector spaces.
Há 1 dia · In Euclidean geometry and more generally in affine geometry, denotes the vector defined by the two points P and Q, which can be identified with the translation that maps P to Q. The same vector can be denoted also Q − P {\displaystyle Q-P} ; see Affine space .
Há 6 dias · History of mathematics. A proof from Euclid 's Elements ( c. 300 BC ), widely considered the most influential textbook of all time. [1] Part of a series on. Mathematics. History. Index. Areas. Number theory. Geometry. Algebra. Calculus and Analysis. Discrete mathematics. Logic and Set theory. Probability. Statistics and Decision theory.
