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[[File:Western Asia (orthographic projection).svg|right|thumb|<center>Western Asia </center>]]
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[[File:South Asia (orthographic projection).svg|right|thumb|<center>Southern Asia </center>]]
 
[[South Asia|South]] and [[West Asia|West]] Asia consists of a wide region extending from the present-day country of [[Turkey]] in the west to [[Bangladesh]] and [[India]] in the east.
 
==Timeline==
*'''3rd millennium BCE [[Sexagesimal#Babylonian mathematics|Sexagesimal system]] of the [[Sumerians]]''':
*'''2nd millennium BCE [[Plimpton 322|Babylonian Pythagorean triples]]'''.  According to mathematician [[S. G. Dani]], the Babylonian cuneiform tablet [[Plimpton 322]] written ca. 1850 BCE<ref>Mathematics Department, University of British Columbia, [http://www.math.ubc.ca/~cass/courses/m446-03/pl322/pl322.html ''The Babylonian tablet Plimpton 322''].</ref> "contains fifteen Pythagorean triples with quite large entries, including (13500, 12709, 18541) which is a primitive triple,<ref>Three positive integers <math>(a, b, c) </math> form a ''primitive'' Pythagorean triple if <math> c^2=a^2+b^2</math> and if the highest common factor of <math> a, b, c </math> is 1. In the particular Plimpton322 example, this means that <math> 13500^2+ 12709^2= 18541^2 </math> and that the three numbers do not have any common factors. However some scholars have disputed the Pythagorean interpretation of this tablet; see Plimpton 322 for details.</ref> indicating, in particular, that there was sophisticated understanding on the topic" in Mesopotamia.
*'''1st millennium BCE [[Baudhayana]] [[Indian mathematics#.C5.9Aulba S.C5.ABtras|Śulba Sūtras]] Earliest statement of Pythagorean Theorem''': According to {{Harv|Hayashi|2005|p=363}}, the ''Śulba Sūtras'' contain  "the earliest extant verbal expression of the Pythagorean Theorem in the world, although it had already been known to the [[First Babylonian Dynasty|Old Babylonians]]." <blockquote>The diagonal rope (''{{IAST|akṣṇayā-rajju}}'') of an oblong (rectangle) produces both which the flank (''pārśvamāni'') and the horizontal (''{{IAST|tiryaṇmānī}}'') <ropes> produce separately."<ref name=hayashi2005-p363>{{Harv|Hayashi|2005|p=363}}</ref></blockquote> Since the statement is a ''sūtra'', it is necessarily compressed and what the ropes ''produce'' is not elaborated on, but the context clearly implies the square areas constructed on their lengths, and would have been explained so by the teacher to the student.<ref name=hayashi2005-p363/>
 
==See also==
*[[Timeline of cultivation and domestication in South and West Asia]]
*[[Timeline of everyday innovation in South and West Asia]]
 
==Notes==
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{{Inventions|state=collapsed}}
 
{{DEFAULTSORT:Timeline Of Mathematical Innovation In South And West Asia}}
[[Category:History of South Asia]]
[[Category:History of Western Asia]]
[[Category:Lists of inventions or discoveries]]
[[Category:Mathematics timelines]]

Latest revision as of 21:24, 23 November 2014

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Now it's the perfect time for the setup. If you are doing the squat, how would you stand before you unrack the actual load? How does the weight feel coming off the rack? Anyone steady pounds before you walk completly? How does the walk out feel? A person have are over and done with the walkout, how an individual standing whilst weight? This is how the weight feel? How are things breathing? Exactly how your healthy posture? You should envision yourself with perfect form through every step and glance at the confidence under the weight.