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...414982.full Review of ''Plane and Solid Analytic geometry''] via [[Project Euclid]]</ref> ==Works== ...

...d space telescope mission]] of the [[European Space Agency]] (ESA) and the Euclid Consortium. He is also involved in the ESA [[Laser Interferometer Space Ant ...><ref name="temperature sciencesetavenir" /> have received broad attention by news outlets worldwide. ...

...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" / ...

...f [[topology]]. It was written by [[David Richeson]] and published in 2008 by the [[Princeton University Press]], with a paperback edition in 2012. It wo ...roof, and concludes with the first rigorous proof of this identity in 1794 by [[Adrien-Marie Legendre]],{{r|bradley|bultheel|wagner}} based on [[Girard's ...

{{short description|Mechanical treatise by Archimedes}} ...L.|url = https://archive.org/details/worksofarchimede029517mbp|title = The Works of Archimedes (1897). The unabridged work in PDF form (19&nbsp;MB)| year=18 ...

...88-678822|title= Brenner, J. L. (Joel Lee) |author=<!--Staff writer(s); no by-line.--> |access-date=1 January 2013}}</ref><ref name=Beasley>LeRoy B. Beas ...y]] from [[Harvard University]]. In graduate study there he was influenced by Hans Brinkmann, [[Garrett Birkhoff]], and [[Marshall Stone]]. He was grante ...

...corresponding to classical fields described by linear equations. His later works have been devoted to [[Yang–Mills theory]] and related mathematical theorie Gross's earliest mathematical works<ref>[https://www.jstor.org/stable/1993432/ Integration and Nonlinear Transf ...

...Uttar Pradesh from 1891 till his death in 1918. He was married to Amy Cox, by whom he had a daughter, Ursula Cox.{{sfn|Starr|2003|p=7}} ...now called Weierstrass coordinates of the [[hyperboloid model]] introduced by [[Wilhelm Killing]] (1879) and [[Henri Poincaré]] (1881)). Like Poincaré in ...

...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 ...s was discovered by the Greek geometer [[Euclid]] and published in his ''[[Euclid's Elements|Elements]]'' in 300 BC. ...

...f the axioms, that is, the statements that can be obtained from the axioms by using the laws of deductive logic. ...cians,<ref name="Eves 1963 loc=p. 19">{{harvnb|Eves|1963|loc=p. 19}}</ref> Euclid was the first to show how these propositions could fit into a comprehensive ...

...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 ...

...[[Duke Mathematical Journal]]|volume=62| issue=2|pages=417–451|via=Project Euclid|doi=10.1215/S0012-7094-91-06217-4}}</ref> and the reflection group trick. ...lso include the construction in 1998 of exotic [[Poincaré duality]] groups by using the Reflection Group trick in 1998.<ref>{{Cite journal |last=Davis |f ...

...570 BC. The theorem has been [[Mathematical proof|proved]] numerous times by many different methods – possibly the most for any mathematical theorem. Th When [[Euclidean space]] is represented by a [[Cartesian coordinate system]] in [[analytic geometry]], [[Euclidean dis ...

...onsisting of three vertices (corner [[point (geometry)|point]]s) connected by three sides, each of which is part of a ''[[great circle]]'' (the analog on ...in 1778 (published 1797), and a variety of proofs have been written since by [[Adrien-Marie Legendre]] (1800), [[Jakob Steiner]] (1827), [[Carl Friedric ...

...s boundless, endless, or larger than any [[natural number]]. It is denoted by <math>\infty</math>, the [[infinity symbol]]. ...19th century, [[Georg Cantor]] enlarged the mathematical study of infinity by studying [[infinite set]]s and [[transfinite number|infinite number]]s, sho ...

...(mathematics)|rings]] as well as geometric objects derived from them (e.g. by gluing along localizations or taking noncommutative [[stack quotient]]s). ...he traditional (commutative) [[algebraic geometry]] have a product defined by [[pointwise multiplication]]; as the values of these functions [[Commutativ ...

...0211857|page=47|title=Review of ''Mathematical Origami: Geometrical Shapes by Paper Folding''|volume=27}}</ref> ...iety]]|pages=721–723|title=Review of 1st ed.|url=https://projecteuclid.org/euclid.bams/1183513951|volume=55|doi-access=free}} ...

...[[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' ...

...1916,{{r|m16}} and the problem of minimizing their total length was posed by [[Frederick Bagemihl]] in 1959.{{r|b59}} For instance, visibility through a [[unit square]] can be blocked by its four boundary edges, with length 4, but a shorter opaque forest blocks ...

...n 1849). The problem is indeterminate, but it is made strictly determinate by the century of its utterance and the limit to a man's life. Those born in 1 ...vered him making an elaborate drawing of a figure from one of [[Euclid]]'s works [[Straightedge and compass construction|with a ruler and compasses]].<ref n ...