Search results

For the ray reflected under <math>R_{0}</math> applies the [[Pythagorean theorem|theorem of Pythagoras]], in the [[right triangle]] that forms betwe For <math>R_{1}</math> the Pythagorean theorem is reapplied, knowing that one of the hinges is double the distance ...

...|author1=Judith D. Sally |author2=Paul Sally |page=63 |chapter=Chapter 3: Pythagorean triples |chapter-url=https://books.google.com/books?id=nHxBw-WlECUC&pg=PA63 |[[Pythagorean theorem]] ...

...gruent to -1 mod {{math|''p''}} if not. This can be written using Legendre symbols as {{term|Pythagorean triple}} ...

...up>2</sup> + ''b''² = ''c''²}} that appears in the [[Pythagorean theorem]], have been studied for their [[integer]] [[Solution (equation)|so In symbols, if ...

...]]s, and the short gap where the [[dodecagram]] fails to close up is the [[Pythagorean comma]].]] ...vals between its tones would include a third, much shorter interval, the [[Pythagorean comma]].{{r|pebble}} ...

*1800 BC – [[Plimpton 322]] contains the oldest reference to the Pythagorean triplets.<ref>{{Cite web |editor-last=Jones |editor-first=Alexander |editor ...zation|Vedic]] "[[Sulba Sutras]]" ("rule of chords" in [[Sanskrit]]) use [[Pythagorean triples]], contain a number of geometrical proofs, and approximate [[pi|π]] ...

...mple of "beauty in method"—a simple and elegant visual descriptor of the [[Pythagorean theorem]].]] ...to date.<ref>[[Elisha Scott Loomis]] published over 360 proofs in his book Pythagorean Proposition ({{isbn|0-873-53036-5}}).</ref> Another theorem that has been p ...

...square|square with sides of one unit of length]]; this follows from the [[Pythagorean theorem]]. It is an [[irrational number|irrational]] number, possibly the f ...f the [[irrational number]]s is usually attributed to the [[Pythagoreanism|Pythagorean]] [[Hippasus of Metapontum]] who proved, most likely geometrically, the irr ...

...Cave painting|cave markings]] and drawings, [[calendar]]s and astronomical symbols. Then books and written records became the main source of information that The [[Nebra sky disk|Nebra Sky Disc]] is a bronze dish with symbols that are interpreted generally as the [[Sun]] or [[full moon]], a lunar [[c ...

...imal|decimal system]] allows indefinite counting by way of introducing new symbols.<ref name="buffalo1">{{cite web|url=http://www.math.buffalo.edu/mad/Ancient ...[[Plimpton 322]] Babylonian tablet records the oldest known examples of [[Pythagorean triple]]s.<ref>{{citation |last=Joyce |first=David E.|author-link=David E. ...

...ircle of fifths|rising fourths and falling fifths]] of [[Pythagorean comma|Pythagorean tuning]].<ref>McClain and Ming (1979), 206.</ref>]] ...nal Numbers]]''': Although irrational numbers were first discovered by the Pythagorean Hippasus, the ancient Chinese never had the philosophical difficulties that ...

...e function {{code|PT|apl}} tests whether each row of {{code|⍵|apl}} is a [[Pythagorean triplet]] (by testing whether the sum of squares equals twice the square of ...me closest to current facilities, but is flawed in conflicts with existing symbols and in error handling which would have caused practical difficulties, and w ...

...]|content='''[[Baud]]'''}}{{defn|defn=Rate at which data is transferred in symbols/second; a symbol may represent one or more bits.}} ...pound force (symbol: ft⋅lbf,<ref>IEEE Std 260.1-2004, IEEE Standard Letter Symbols for Units of Measurement (SI Units, Customary Inch-Pound Units, and Certain ...