Array ( [0] => 15504204 [id] => 15504204 [1] => cswiki [site] => cswiki [2] => Spirála [uri] => Spirála [3] => [img] => [4] => [day_avg] => [5] => [day_diff] => [6] => [day_last] => [7] => [day_prev_last] => [8] => [oai] => [9] => [is_good] => [10] => [object_type] => [11] => 0 [has_content] => 0 [12] => [oai_cs_optimisticky] => ) Array ( [0] => {{Různé významy|tento=[[křivka|křivce]]}} [1] => [[Soubor:ContextFreeTutorial 01Spiral.png|náhled|Příklad spirály]] [2] => '''Spirála''' je [[křivka]], která obíhá pevně daný ústřední bod (''pól spirály'') a přitom se od tohoto bodu soustavně vzdaluje. Formální matematická definice, která by zahrnovala všechny spirály, neexistuje (na rozdíl např. od kuželoseček). [3] => [4] => Mezi důležité spirály patří: [5] => * [[Archimédova spirála]] [6] => * [[Fermatova spirála]] [7] => * [[hyperbolická spirála]] [8] => * [[hyperbolická platformická spirála]] [9] => * [[klotoida]] (též Eulerova nebo Cornuova spirála) [10] => * [[lituus]] [11] => * [[logaritmická spirála]] [12] => [13] => == Odkazy == [14] => __BEZOBSAHU__ [15] => === Literatura === [16] => * JAREŠOVÁ, Miroslava a VOLF, Ivo. ''Matematika křivek: studijní text pro soutěžící FO a ostatní zájemce o fyziku.'' Hradec Králové: MAFY, 2006. 64 s. Knihovnička fyzikální olympiády, č. 73. ISBN 80-86148-83-1. Dostupné také z: http://fyzikalniolympiada.cz/texty/matematika/mkrivek.pdf [17] => * Cook, T., 1903. ''Spirals in nature and art''. Nature 68 (1761), 296. {{en}} [18] => * Cook, T., 1979. ''The curves of life''. Dover, New York. {{en}} [19] => * Dimulyo, S., Habib, Z., Sakai, M., 2009. ''Fair cubic transition between two circles with one circle inside or tangent to the other''. Numerical Algorithms 51, 461–476 [http://www.springerlink.com/content/113644325114041q/] {{Wayback|url=http://www.springerlink.com/content/113644325114041q/ |date=20181127024818 }}. {{en}} [20] => * Farin, G., 2006. ''Class A Bézier curves''. Computer Aided Geometric Design 23 (7), 573–581 [http://www.sciencedirect.com/science/article/pii/S016783960600032X]. {{en}} [21] => * Farouki, R.T., 1997. ''Pythagorean-hodograph quintic transition curves of monotone curvature''. Computer-Aided Design 29 (9), 601–606. {{en}} [22] => * Habib, Z., Sakai, M., 2005. ''Spiral transition curves and their applications''. Scientiae Mathematicae Japonicae 61 (2), 195–206. {{en}} [23] => * Harary, G., Tal, A., 2011. ''The natural 3D spiral''. Computer Graphics Forum 30 (2), 237–246 [http://webee.technion.ac.il/~ayellet/Ps/11-HararyTal.pdf] {{Wayback|url=http://webee.technion.ac.il/~ayellet/Ps/11-HararyTal.pdf |date=20151122013249 }}. {{en}} [24] => * Kurnosenko, A. ''Applying inversion to construct planar, rational spirals that satisfy two-point G2 Hermite data''. Computer Aided Geometric Design, 27(3), 262–280, 2010 [http://www.sciencedirect.com/science/article/pii/S0167839609001423]. {{en}} [25] => * Kurnosenko, A. ''Two-point G2 Hermite interpolation with spirals by inversion of hyperbola''. Computer Aided Geometric Design, 27(6), 474–481, 2010. {{en}} [26] => * Meek, D., Walton, D., 1989. ''The use of Cornu spirals in drawing planar curves of controlled curvature''. Journal of Computational and Applied Mathematics 25 (1), 69–78 [http://www.sciencedirect.com/science/article/pii/0377042789900769]. {{en}} [27] => * Miura, K. T., 2006. ''A general equation of aesthetic curves and its self-affinity''. Computer-Aided Design and Applications 3 (1–4), 457–464 [https://web.archive.org/web/20130628000547/http://ktm11.eng.shizuoka.ac.jp/profile/ktmiura/pdf/KTMiura-CAD06Final.pdf]. {{en}} [28] => * Miura, K., Sone, J., Yamashita, A., Kaneko, T., 2005. ''Derivation of a general formula of aesthetic curves''. In: 8th International Conference on Humans and Computers (HC2005). Aizu-Wakamutsu, Japan, 166–171 [https://web.archive.org/web/20130628051506/http://ktm11.eng.shizuoka.ac.jp/profile/ktmiura/pdf/acurveHC0.pdf]. {{en}} [29] => * Wang, Y., Zhao, B., Zhang, L., Xu, J., Wang, K., Wang, S., 2004. ''Designing fair curves using monotone curvature pieces''. Computer Aided Geometric Design 21 (5), 515–527 [http://www.sciencedirect.com/science/article/pii/S0167839604000470]. {{en}} [30] => * Xu, L., Mould, D., 2009. ''Magnetic curves: curvature-controlled aesthetic curves using magnetic fields''. In: Deussen, O., Hall, P. (eds.), Computational Aesthetics in Graphics, Visualization, and Imaging. The Eurographics Association [http://gigl.scs.carleton.ca/sites/default/files/ling_xu/artn-cae.pdf]. {{en}} [31] => * Yoshida, N., Saito, T., 2006. ''Interactive aesthetic curve segments''. The Visual Computer 22 (9), 896–905 [http://www.yoshida-lab.net/aesthetic/ias2006pg.pdf] {{Wayback|url=http://www.yoshida-lab.net/aesthetic/ias2006pg.pdf |date=20160304064701 }}. {{en}} [32] => * Yoshida, N., Saito, T., 2007. ''Quasi-aesthetic curves in rational cubic Bézier forms''. Computer-Aided Design and Applications 4 (9–10), 477–486 [http://www.yoshida-lab.net/aesthetic/cad07yoshida.pdf] {{Wayback|url=http://www.yoshida-lab.net/aesthetic/cad07yoshida.pdf |date=20160303205632 }}. {{en}} [33] => * Ziatdinov, R., Yoshida, N., Kim, T., 2012. ''Analytic parametric equations of log-aesthetic curves in terms of incomplete gamma functions''. Computer Aided Geometric Design 29 (2), 129–140 [http://www.sciencedirect.com/science/article/pii/S0167839611001452]. {{en}} [34] => * Ziatdinov, R., Yoshida, N., Kim, T., 2012. ''Fitting G2 multispiral transition curve joining two straight lines'', Computer-Aided Design 44(6), 591–596 [http://www.sciencedirect.com/science/article/pii/S001044851200019X]. {{en}} [35] => * Ziatdinov, R., 2012. ''Family of superspirals with completely monotonic curvature given in terms of Gauss hypergeometric function''. Computer Aided Geometric Design 29 (7): 510–518 [http://www.sciencedirect.com/science/article/pii/S0167839612000325]. {{en}} [36] => * Ziatdinov, R., Miura K.T., 2012. ''On the Variety of Planar Spirals and Their Applications in Computer Aided Design''. European Researcher 27 (8-2), 1227–1232 [http://www.erjournal.ru/pdf.html?n=1345307278.pdf]. {{en}} [37] => [38] => === Související články === [39] => * [[Cykloida]] [40] => * [[Evolventa]] [41] => * [[Šroubovice]] [42] => [43] => === Externí odkazy === [44] => * {{Wikislovník|heslo=spirála}} [45] => * {{Commonscat|Spirals}} [46] => {{Autoritní data}} [47] => [48] => [[Kategorie:Rovinné křivky]] [] => )
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Spirála

Příklad spirály Spirála je křivka, která obíhá pevně daný ústřední bod (pól spirály) a přitom se od tohoto bodu soustavně vzdaluje. Formální matematická definice, která by zahrnovala všechny spirály, neexistuje (na rozdíl např.

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