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* 5th century BC - The [[Zeno's paradoxes]], * 5th century BC - [[Antiphon (orator)|Antiphon]] attempts to [[Squaring the circle|square t ...

...chool]] (1870–75). At [[Trinity College, Cambridge]], he graduated B.A. as 4th [[Wrangler (University of Cambridge)|wrangler]] in 1880, and [[Oxbridge MA| ...bc''. Thus the planes ''a, b, c, abc'', form a tetrahedron with vertices ''bc, ac, ab'', 0. ...

...over a field]]. The term ''abstract algebra'' was coined in the early 20th century to distinguish it from older parts of algebra, and more specifically from [ ...et of concepts. This unification occurred in the early decades of the 20th century and resulted in the formal [[axiom]]atic definitions of various [[algebraic ...

===Before 1000 BC=== * ca. [[Middle Paleolithic|70,000 BC]] – South Africa, ochre rocks adorned with scratched [[Geometry|geomet ...

...focused on the [[Ptolemy's table of chords|calculation of chords]], while mathematicians in India created the earliest-known tables of values for trigonometric rati ...degrees.<ref>{{cite book |title=Cambridge IGCSE Core Mathematics |edition=4th |first1=Ric |last1=Pimentel |first2=Terry |last2=Wall |publisher=Hachette U ...

...ardians of Day and Night, Han Dynasty.jpg|thumb|right|[[Han dynasty]] (202 BC – 220 AD) paintings on tile of Chinese guardian spirits representing 11 pm ...culation was used in calendrical mathematics by [[Tang dynasty]] (618–907) mathematicians such as [[Li Chunfeng]] (602–670) and [[Yi Xing]] (683–727) in order to det ...

...) from these. Although many of Euclid's results had been stated by earlier mathematicians,<ref name="Eves 1963 loc=p. 19">{{harvnb|Eves|1963|loc=p. 19}}</ref> Euclid ...clidean are known, the first ones having been discovered in the early 19th century. ...

* [[Law]] — [[Ancient Egypt]]ian law, dating as far back as 3000 BC, was based on the concept of [[Ma'at]] and characterised by tradition, [[rh ...y appearing in the [[Middle Kingdom of Egypt|Middle Kingdom]] (c.2055–1650 BC).<ref>{{Cite book |first1= John Coleman |last1= Darnell |author-link1= John ...

...school geometry: evolution of the two-column proof in the early twentieth century |url=https://link.springer.com/article/10.1023/A:1020264906740 |journal=Edu ...red via [[Advanced Placement]] program ([[AP Calculus]] AB and AP Calculus BC) is a transfer-level course—that is, it can be accepted by a college as a c ...

...teseerx=10.1.1.58.8477 |s2cid=13387519 }}</ref> by [[Paolo Uccello]]. 15th century]] ...mathematical artists|Artists have used mathematics]] since the 4th century BC when the Greek [[sculpture|sculptor]] [[Polykleitos]] wrote [[Polykleitos#C ...

...or [[panemone windmill]] first appeared in [[Greater Iran]] during the 9th century.<ref>Glick, Thomas F., Steven Livesey, and Faith Wallis. Medieval science, The 9th century mathematician [[Muhammad ibn Musa al-Khwarizmi]] founded algebra and expand ...

...ors and computer controllers.<ref>Robert L. Norton, '''Machine Design,''' (4th Edition), Prentice-Hall, 2010</ref> ..., who made extensive use of this special case of Taylor series in the 18th century.}} ...