euclidean in A Sentence

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    Yes, Euclidean triangle inequality.

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    Euclidean geometry is a mathematical system attributed

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    school where he studied Siddhānta Shiromani, Euclidean Geometry

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    which came to be known as Euclidean geometry.

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    The Euclidean parallel.

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    analogous to the rotational symmetry of Euclidean space see Fig.

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    globally that is not easily described in traditional Euclidean geometric language.

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    Euclid's Elements contained five postulates that form the basis for Euclidean geometry.

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    It is too irregular to be easily described in traditional Euclidean geometric language.

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    When a machined, precise and Euclidean aesthetic is desired, a low-slope roof should be considered.

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    Irregularity locally and globally that is not easily described in traditional Euclidean geometric language.

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    Instead it reveals“forces” as expressions of the ways in which the vacuum's geometry differs from Euclidean geometry.

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    In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry.

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    Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry:.

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    M, Euclidean algorithm, Logarithms to base 10, Use of logarithmic tables, Prime and composite numbers, Laws of logarithms and Division algorithm.

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    For instance, he taught himself Euclidean geometry by the age of 12 and differential and integral calculus by the age of 15.

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    Since Euclidean geometry is simpler than non-Euclidean geometry, he assumed the former would always be used to describe the'true' geometry of the world.

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    Minkowski spacetime appears to be very similar to the standard 3-dimensional Euclidean space, but there is a crucial difference with respect to time.

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    It remained to be proved mathematically that the non-Euclidean geometry was just as self-consistent as Euclidean geometry, and this was first accomplished by Beltrami in 1868.

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    This suggests a deep theoretical insight: special relativity is simply a rotational symmetry of our spacetime, analogous to the rotational symmetry of Euclidean space see Fig.

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    It remained to be proven mathematically that the non-Euclidean geometry was just as self-consistent as Euclidean geometry, and this was first accomplished by Beltrami in 1868.

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    In the 19th and 20th centuries mathematicians began to examine geometries that are not Euclidean, in which space can be said to be curved, rather than flat.

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    First of all, computers are good at Euclidean geometrical spatial notions- Euclid, being the Greek mathematician of ancient times who is accredited with being the father to geometry.

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    The answer needs to fit within the physically possible, and, in our generation, it also needs to fit within a certain Euclidean philosophy that I cover earlier on.

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    In a Euclidean plane, it has the length 2πr and the area of its interior is A π r 2{\displaystyle A=\pi r^{2}} where r{\displaystyle r} is the radius.

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    He said by applying a Euclidean approach to quantum gravity, which replaces real time with imaginary time, the history of the universe becomes like a four-dimensional curved surface, with no boundary.

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    Alhazen explored what is now known as the Euclidean parallel postulate, the fifth postulate in Euclid's Elements, using a proof by contradiction, and in effect introducing the concept of motion into geometry.

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    Intellectually precocious, he became absorbed in mathematics from an early age and found the experience of learning Euclidean geometry at the age of 11“as dazzling as first love,” because it introduced him to the intoxicating possibility of certain, demonstrable knowledge.

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    BC, of Alexandria, probably a student at the Academy founded by Plato, wrote a treatise in 13 books(chapters), titled The Elements of Geometry, in which he presented geometry in an ideal axiomatic form, which came to be known as Euclidean geometry.

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    According to Misner, Thorne and Wheeler(1971, §2.3), ultimately the deeper understanding of both special and general relativity will come from the study of the Minkowski metric(described below) and to take X0 ct, rather than a"disguised" Euclidean metric using ict as the time coordinate.

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