Pythagorean Theorem words

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  1. right triangle
    a triangle with one right angle
    In mathematics, the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle).
  2. coordinate system
    a system that uses coordinates to establish position
    Contents
    1 Other forms
    2 Proofs
    2.1 Proof using similar triangles
    2.2 Euclid's proof
    2.3 Proof by rearrangement
    2.4 Algebraic proofs
    2.5 Proof using differentials
    3 Converse
    4 Consequences and uses of the theorem
    4.1 Pythagorean triples
    4.2 Incommensurable lengths
    4.3 Complex numbers
    4.4 Euclidean distance in various coordinate systems
    4.5 Pythagorean trigonometric identity
    4.6 Relation to the cross product
    5 Generalizations
    5.1 Similar figures on the three sides
    ...
  3. theorem
    an idea accepted as a demonstrable truth
    In mathematics, the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle).
  4. hypotenuse
    the side of a right triangle opposite the right angle
    In terms of areas, it states:

    In any right triangle, 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 whose sides are the two legs (the two sides that meet at a right angle).
  5. Pythagorean
    of or relating to Pythagoras or his geometry
    In mathematics, the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle).
  6. dimensional
    relating to coordinates that determine a position in space
    The theorem can be generalized in various ways, including higher-dimensional spaces, to spaces that are not Euclidean, to objects that are not right triangles, and indeed, to objects that are not triangles at all, but n-dimensional solids.
  7. algebraic
    of or relating to algebra
    These are very diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years.
  8. geometry
    the mathematics of points and lines and curves and surfaces
    In mathematics, the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle).
  9. right angle
    the 90 degree angle between two perpendicular lines
    In terms of areas, it states:

    In any right triangle, 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 whose sides are the two legs (the two sides that meet at a right angle).
  10. Pythagoras
    Greek philosopher and mathematician who proved the Pythagorean theorem; considered to be the first true mathematician (circa 580-500 BC)
    In mathematics, the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle).
  11. equation
    a mathematical statement that two expressions are the same
    The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the Pythagorean equation:[1]


    where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.
  12. angle
    the space between two lines or planes that intersect
    In mathematics, the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle).
  13. formula
    a group of symbols that make a mathematical statement
    There is evidence that Babylonian mathematicians understood the formula, although there is little surviving evidence that they fitted it into a mathematical framework.[4][5]
Created on Thu Oct 20 16:05:47 EDT 2011

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