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...'' is a [[theorem]] (rule) in [[geometry]]. It says that if three [[Point (geometry)|points]], <math>P</math>, <math>Q</math>, and <math>R</math> are on a [[ci [[Category:Theorems in geometry]] ...

[[Category:Theorems in geometry]] ...

...matician Euclid (holding calipers), 3rd century BC, as imagined by Raphael in this detail from the School of Athens (1509–1511)]] ...uding arrangements of spaces themselves. This subfield is usually called [[geometry]]. ...

In [[mathematics]], the ''' Pythagorean theorem''' or [https://www.bloglovin.c ...of the [[angle]]s of a [[right triangle]] is always equal to 90 [[degree (geometry)|degrees]]. This angle is the [[right angle]]. The two sides next to the ri ...

...ometry]], meaning that the [[parallel postulate]] that defines [[Euclidean geometry]] isn't true. On a [[Hyperbola|hyperbolic]] plane, lines that started out p ...rule means that hyperbolic geometry is different from ordinary flat plane geometry. For example, [[triangle]]s will have angles that add up to less than 180 d ...

...ken over a [[surface]] (which may be a [[curve]] [[Set (mathematics)|set]] in [[Space (physics)|space]]). Just as a line integral allows one to integrate Surface integrals have applications in [[physics]], particularly in the classical theories of [[electromagnetism]] and [[fluid mechanics]]. ...

...integral]], and [[indefinite integral]] ([[antiderivative]]) is necessary in understanding the fundamental theorem of calculus. The derivative can be th ...n 1823, Cauchy defined the definite integral by the limit definition. Also in the nineteenth century, [[Siméon Denis Poisson]] described the definite int ...

'''Fermat's Last Theorem''' or '''FLT''' is a very famous idea in [[mathematics]]. It says that: : It is impossible to express in whole numbers two cubes, which added equal a third cube. Furthermore, it is ...

...|Illustration of a transformation (of [[Mona Lisa]]): The image is changed in such a way that the red arrow (vector) does not change its direction, but t ...[zero]] ("null"). The '''eigenvalue''' is the value of the vector's change in length, and is typically denoted by the symbol <math>\lambda</math>.<ref>{{ ...