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==Before 1000 BC== * ca. 2000 BC – [[Scotland]], [[carved stone balls]] exhibit a variety of symmetries incl ...

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

...nto one of these lengths as well as the other. Hippasus in the 5th century BC, however, was able to deduce that there was no common unit of measure, and [[Greek mathematics|Greek mathematicians]] termed this ratio of incommensurable magnitudes ''alogos'', or inexpressi ...

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

...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 ...

...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 ...PA235 235–236]|loc="Appendix 1: Hipparchus's Table of Chords"}} In the 2nd century AD, the Greco-Egyptian astronomer [[Ptolemy]] (from Alexandria, Egypt) cons ...

...) 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. ...

...r the [[Ancient Greece|Greek]] philosopher [[Pythagoras]], born around 570 BC. The theorem has been [[Mathematical proof|proved]] numerous times by many ...] ''[[Euclid's Elements|Elements]]'', and mentions the proposals of German mathematicians [[Carl Anton Bretschneider]] and [[Hermann Hankel]] that Pythagoras may hav ...

{{Short description|17th-century conjecture proved by Andrew Wiles in 1994}} ...wn as a [[conjecture]] rather than a theorem. After 358 years of effort by mathematicians, [[Wiles's proof of Fermat's Last Theorem|the first successful proof]] was ...

* [[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 ...

...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 ...

...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 ...

...modern formal logic, which has its roots in the work of late 19th-century mathematicians such as [[Gottlob Frege]]. Today, the most commonly used system is [[classi ...roduction: Philosophy of logic today, pp. 1–12}} Starting in the late 19th century, many new formal systems have been proposed. There are disagreements about ...

...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 ...

..., who made extensive use of this special case of Taylor series in the 18th century.}} [[Mathematicians]] seek and use [[pattern]]s<ref> ...