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| − | A '''theorem''' is a statement that can be proven by deductive reasoning from a collection of assumptions, called [[axiom]]s. [[Euclid]] is often credited as the first person to use the axiomatic approach to derive [[Mathematics|mathematical]] theorems. | + | A '''theorem''' is a statement that can be proven via logic which generally stems from a collection of [[postulate|postulates]] or [[axiom]]s.<ref>''The American College Dictionary''. Random House. New York, 1956.</ref> They have been in use since Euclidean geometry as the basis of geometrical facts.<ref>"Geometry". ''The New Encyclopedia Britannica''. 15th ed.</ref> |
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| | + | Some famous theorems include:<ref>''Beauty, Rigor, Surprise''</ref> |
| | + | *The [[Pythagorean Theorem]] |
| | + | *Formulas for [[volume]] and [[surface area]] |
| | + | *[[Stokes's Theorem]] |
| | + | *The [[Fundamental Theorem of Algebra]] |
| | + | *The [[Inscribed Angle Theorem]] |
| | + | *The [[Triangle Angle Sum Theorem]] |
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| | + | ==References== |
| | + | {{reflist}} |
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| | [[Category:Mathematics]] | | [[Category:Mathematics]] |