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{{Short description|Mathematical proofs published by Archimedes}} [[File:Archimedes - On the Sphere and Cylinder.jpg|thumbnail|A page from "On the Sphere and C ...

{{Short description|Treatise by Archimedes}} [[File:A page from Archimedes' Measurement of a Circle.jpg|thumb|A page from Archimedes' Measurement of a Circle]] ...

{{short description|Mechanical treatise by Archimedes}} | author = [[Archimedes]] ...

...he [[bed load]] of the stream. Stream competence was originally simplified by the “sixth-power-law,” which states the mass of a particle that can be move ...n slope. Friction exerted on the water by the bed and banks of the channel works to slow the movement of the water. When the force of gravity is equal and o ...

In his work "On Floating Bodies", Archimedes<ref name=acottLaw>{{Cite journal |author=Acott, Chris |title=The diving "La ...up by a force equal to the weight of the fluid displaced by the object.| [[Archimedes]] of [[Syracuse, Sicily|Syracuse]]}} ...

...the [[Limit (mathematics)|limit]] of the areas of polyhedra. It is formed by stacked rings of [[isosceles triangle]]s, arranged within each ring in the ...ation of area, in contrast to the accurate approximation of [[arc length]] by inscribed [[polygonal chain]]s. ...

...journal|last=Hogendijk|first=Jan P.|date=1986|title=Arabic Traces of Lost Works of Apollonius|url=https://www.jstor.org/stable/41133783|journal=Archive for ...0&nbsp;AD, and Pingala's work on [[Prosody (poetry)|prosody]] was expanded by [[Bhāskara II]]<ref name="India" /><ref name="Lilavati">{{cite web ...

...nslation (geometry)|translation]] at a uniform speed, and the other moving by [[rotation (geometry)|rotation]] around one of its points at a uniform spee ...alone. Although a [[dense set]] of points on the curve can be constructed by compass and straightedge, allowing these problems to be approximated, the w ...

{{short description|1673 book on pendular motion by Christiaan Huygens}} ...or=Herivel, John}}</ref> It is regarded as one of the three most important works on [[mechanics]] in the 17th century, the other two being [[Galileo Galilei ...

...the basics of [[geometry]] and [[trigonometry]]. The series was developed by [[Tom M. Apostol]] and [[James F. Blinn]], both from the [[California Insti In 1988, ''The Theorem of Pythagoras'' was the first video produced by the series and reviews the [[Pythagorean theorem]].<ref name="Pythagoras" / ...

...d fifth, each of them finding one coconut left over when dividing the pile by five, and giving it to a monkey. Finally, the group divide the remaining co ...ommon divisor which underlies the solution of such problems was discovered by the Greek geometer [[Euclid]] and published in his ''[[Euclid's Elements|El ...

...s)|functions]] discovered in 14th or 15th century in [[Kerala]], [[India]] by the mathematician and astronomer [[Madhava of Sangamagrama]] (c.&nbsp;1350 ...=978-94-017-9663-7 }}</ref> and the series for arctangent was rediscovered by [[James Gregory (mathematician)|James Gregory]] in 1671 and [[Gottfried Wil ...

...t to be true in the 19th century, and became a "serious focus of research" by 1989,{{r|lawlor}} but was not proven until 2002. ...ese pieces must be shaped and connected to each other, and a final [[Proof by exhaustion|case analysis]] shows that, among surfaces of revolution connect ...

...humb|A [[cycloidal pendulum]] is isochronous, a fact discovered and proved by [[Christiaan Huygens]] under certain mathematical assumptions.<ref>{{cite b [[File:Conic Sections.svg|thumb|240px|right|Mathematics was developed by the Ancient Civilizations for intellectual challenge and pleasure. Surprisi ...

...s also judged on its ability to make new predictions which can be verified by new observations. A physical theory differs from a [[theorem|mathematical t ...various measurable quantities. [[Archimedes]] realized that a ship floats by displacing its mass of water, [[Pythagoras]] understood the relation betwee ...

...[[Nikolai Lobachevsky|Lobachevsky]] and other [[non-Euclidean geometries]] by [[Gauss]] and others. It was then realised that implicitly non-Euclidean ge ...ree-dimensional [[space]] of the physical world and its [[model]] provided by Euclidean geometry; presently a '''geometric space''', or simply a ''space' ...

...:0">{{Cite web|url=https://www.solarpaces.org/how-csp-works/|title=How CSP Works: Tower, Trough, Fresnel or Dish|date=June 12, 2018|website=SolarPACES|acces ...ttps://www.solarpaces.org/worldwide-csp/csp-potential-solar-thermal-energy-by-member-nation/china/ |access-date=2023-08-12 |website=SolarPACES |language= ...

...he angle of interest (2θ) in Ptolemy's table, and then dividing that value by two.) Centuries passed before more detailed tables were produced, and Ptole ...nother translation of the ''Almagest'' from Greek into Latin was completed by the Cretan [[George of Trebizond]].<ref>N.G. Wilson (1992). ''From Byzantiu ...

<!-- Please note the background of Tusi is constantly vandalized by ips- that is why it is sourced more predominantly here-->| era... | works = ''[[Tajrid al-I'tiqad]]'', ''[[Zij-i ilkhani]]'', ''Rawḍa-yi ...

...Conics-Converge-Diverge.jpg|thumb|alt=2D side view of cone being sectioned by planes at three different angles. The ellipse converges on the opposite sid ...centricity (mathematics)|eccentricity]]''. The type of conic is determined by the value of the eccentricity. In [[analytic geometry]], a conic may be def ...