Difference between revisions of "Theorem"

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A '''theorem''' is a statement that can be proven via logic which generally stems from a collection of [[postulate]]s 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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A '''theorem''' is a statement that can be proved by deductive reasoning from a collection of assumptions, called axioms.  Euclid is often credited as the first person to use the axiomatic approch to derive mathematical theorems.
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Some famous theorems include:<ref>''Beauty, Rigor, Surprise''</ref>
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*The [[Pythagorean Theorem]]
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*Formulas for [[volume]] and [[surface area]]
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*[[Stokes's Theorem]]
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*The [[Fundamental Theorem of Algebra]]
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*The [[Inscribed Angle Theorem]]
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*The [[Triangle Angle Sum Theorem]]
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==References==
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{{reflist}}
  
 
[[Category:Mathematics]]
 
[[Category:Mathematics]]

Latest revision as of 06:40, August 22, 2017

A theorem is a statement that can be proven via logic which generally stems from a collection of postulates or axioms.[1] They have been in use since Euclidean geometry as the basis of geometrical facts.[2]

Some famous theorems include:[3]

References

  1. ↑ The American College Dictionary. Random House. New York, 1956.
  2. ↑ "Geometry". The New Encyclopedia Britannica. 15th ed.
  3. ↑ Beauty, Rigor, Surprise