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Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements. Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions ( theorems ) from these.
In geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the construction of lengths, angles, and other geometric figures using only an idealized ruler and a pair of compasses.
Tessellations of euclidean and hyperbolic space may also be considered regular polytopes. Note that an 'n'-dimensional polytope actually tessellates a space of one dimension less. For example, the (three-dimensional) platonic solids tessellate the 'two'-dimensional 'surface' of the sphere.
The geometry of the Euclidean plane is the common elementary geometry taught in schools. Subcategories This category has the following 11 subcategories, out of 11 total.
The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century.
Euclidean plane geometry (11 C, 96 P) R. Reflection groups (1 C, 8 P) S. ... Pages in category "Euclidean geometry" The following 103 pages are in this category, out ...
1.2 Ziele setzen 11 1.3Inhalt 13 2 Lernen und Gedächtnis 14 2.1 Das Gedächtnis ist keine Festplatte 14 2.2 Verschiedene Prozesse beim Lernen 15 2.3 Die zeitliche Komponente 15 2.4 Unterschiedliche Inhalte 16 2.5Lernen 17 3 In Bildern denken 19 3.1 Mentale Bilder 19 3.2 Bilder verknüpfen 20 4 Routenmethode25
Computing the maximum number of equiangular lines in n-dimensional Euclidean space is a difficult problem, and unsolved in general, though bounds are known. The maximal number of equiangular lines in 2-dimensional Euclidean space is 3: we can take the lines through opposite vertices of a regular hexagon, each at an angle 120 degrees from the other two.
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