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6 päivää sitten · Euclidean geometry is the study of plane and solid figures on the basis of axioms and theorems employed by the ancient Greek mathematician Euclid. The term refers to the plane and solid geometry commonly taught in secondary school. Euclidean geometry is the most typical expression of general mathematical thinking.
- Solid Geometry
Euclidean geometry - Solid Geometry, Axioms, Postulates: The...
- Plane Geometry
Euclidean geometry - Plane Geometry, Axioms, Postulates: Two...
- Quadrature
quadrature, in mathematics, the process of determining the...
- Thales’ Rectangle
Other articles where Thales’ rectangle is discussed: Thales’...
- Parallel Postulate
parallel postulate, One of the five postulates, or axioms,...
- Analytic Geometry
analytic geometry, mathematical subject in which algebraic...
- Pythagorean Theorem
Pythagorean theorem, the well-known geometric theorem that...
- Method of Exhaustion
method of exhaustion, in mathematics, technique invented by...
- Solid Geometry
2 päivää sitten · In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
- The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).
- Theorem
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2 päivää sitten · Euclidean geometry is geometry in its classical sense. As it models the space of the physical world, it is used in many scientific areas, such as mechanics , astronomy , crystallography , [89] and many technical fields, such as engineering , [90] architecture , [91] geodesy , [92] aerodynamics , [93] and navigation . [94]
2 päivää sitten · In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges congruent), and the same number of faces meet at each vertex.
2 päivää sitten · 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 ...
2 päivää sitten · Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey ...
5 päivää sitten · In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as illustrated in successive magnifications of the Mandelbrot set.
