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Welcome to Right Triangle Formulas. Site created and maintained by Antonio
Gutierrez.
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Formulas,
Online Learning.
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Right Triangle Formulas
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PYTHAGOREAN THEOREM, GEOMETRIC
MEAN, PRODUCT OF THE LEGS, ALTITUDE, PROJECTION:
Proofs that use
similarity.
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SPECIAL RIGHT TRIANGLES:
Isosceles 45-45, 30-60, 37-53 (3-4-5)
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CENTERS, INRADIUS,
CIRCUMRADIUS, INCENTER, CIRCUMCENTER, ORTHOCENTER, CENTROID,
PONCELET'S THEOREM, SAGITTA.
Sagitta: The distance
between the midpoint of an arc and the midpoint of its
chord.
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RIGHT TRIANGLE:
INRADIUS, EXRADII, SEMIPERIMETER (s), LEGS AND
HYPOTENUSE, AREA.
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RIGHT TRIANGLE: ORTHOGONAL
PROJECTIONS
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RIGHT TRIANGLE: ALTITUDE,
INRADII, INCENTER, AREAS.
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PYTHAGOREAN THEOREM: DIAGONAL OF A BOX
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DISTANCE IN CARTESIAN
COORDINATE:
The Pythagorean Theorem provides
an easy way to compute the straight line distance between
any two points whose Cartesian coordinates are known.
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PYTHAGOREAN THEOREM IN THREE DIMENSIONS 3-D, De Gua's
Theorem: In any
tetrahedron with a cubic vertex O-ABC the square
of the area of the face opposite the cubic vertex O-ABC is
equal to the sum of the squares of the areas of
the other three faces AOB, AOC, BOC.
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THE PYTHAGOREAN CURIOSITY: Triangles and squares, fifteen conclusions.
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THE GENERAL EXTENSION TO
PYTHAGORAS' THEOREM: If any 3 similar shapes are drawn
on the sides of a right triangle, then the area of the shape
on the hypotenuse equals the sum of the areas on the other
two sides.
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B&N Online Book Shopping
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The Pythagorean Theorem: A 4,000-Year History
by Eli Maor
(Hardcover)
Synopsis
By any measure, the Pythagorean theorem is the most famous statement in all of mathematics, one remembered from high school geometry class by even the most math-phobic students. Well over four hundred proofs are known to exist, including ones by a twelve-year-old Einstein, a young blind girl, Leonardo da Vinci, and a future president of the United States. Here--perhaps for the first time in English--is the full story of this famous theorem. Although attributed to Pythagoras, the theorem was known to the Babylonians more than a thousand years before him. He may have been the first to prove it, but his proof--if indeed he had one--is lost to us. Euclid immortalized it as Proposition 47 in his Elements, and it is from there that it has passed down to generations of students. The theorem is central to almost every branch of science, pure or applied. It has even been proposed as a means to communicate with extraterrestrial beings, if and when we discover them. And, expanded to four-dimensional space-time, it plays a pivotal role in Einstein's theory of relativity. In this book, Eli Maor brings to life many of the characters that played a role in the development of the Pythagorean theorem, providing a fascinating backdrop to perhaps our oldest enduring mathematical legacy.
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