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  2. Shoe-fitting fluoroscope - Wikipedia

    en.wikipedia.org/wiki/Shoe-fitting_fluoroscope

    A shoe-fitting fluoroscope was a metal construction covered in finished wood, approximately 4 feet (1.2 m) high in the shape of short column, with a ledge with an opening through which the standing customer (adult or child) would put their feet and look through a viewing porthole at the top of the fluoroscope down at the X-ray view of the feet ...

  3. Pythagorean trigonometric identity - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_trigonometric...

    The Pythagorean trigonometric identity, also called simply the Pythagorean identity, is an identity expressing the Pythagorean theorem in terms of trigonometric functions. Along with the sum-of-angles formulae, it is one of the basic relations between the sine and cosine functions. The identity is. As usual, means .

  4. Pythagoreanism - Wikipedia

    en.wikipedia.org/wiki/Pythagoreanism

    The Pythagorean schools and societies died out from the 4th century BC. Pythagorean philosophers continued to practice, albeit no organised communities were established. [14] According to surviving sources by the Neopythagorean philosopher Nicomachus, Philolaus was the successor of Pythagoras. [16] According to Cicero (de Orat.

  5. Pythagorean theorem - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_theorem

    A Pythagorean triple has three positive integers a, b, and c, such that a 2 + b 2 = c 2. In other words, a Pythagorean triple represents the lengths of the sides of a right triangle where all three sides have integer lengths. [1] Such a triple is commonly written (a, b, c). Some well-known examples are (3, 4, 5) and (5, 12, 13).

  6. Pythagorean quadruple - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_quadruple

    A Pythagorean quadruple is called primitive if the greatest common divisor of its entries is 1. Every Pythagorean quadruple is an integer multiple of a primitive quadruple. The set of primitive Pythagorean quadruples for which a is odd can be generated by the formulas = +, = (+), = (), = + + +, where m, n, p, q are non-negative integers with greatest common divisor 1 such that m + n + p + q is o

  7. Shortcuts.com has printable coupons - AOL

    www.aol.com/news/2010-05-04-shortcuts-com-has...

    The online grocery coupon site Shortcuts.com now has printable coupons. Previously, you could only add coupons electronically to your store loyalty card, which is still a cool feature. Shortcuts ...

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