Noor's Curve, a New Geometric Form of Agnesi Witch, a Construction Method is Produced Noura

Main Article Content

laith Hadi Munshed Al-ossmi

Abstract

In this paper, a new form of 2D-plane curves is produced and graphically studied. The name of my daughter "Noor" has been given to this curve; therefore, Noor term describes this curve whenever it is used in this paper. This curve is a form of these opened curves as it extends in the infinity along both sides from the origin point. The curve is designed by a circle/ ellipse which are drawing curvatures that tangent at the origin point, where its circumference is passed through the (0,2a). By sharing two vertical lined points of both the circle diameter and the major axis of the ellipse, the parametric equation is derived. In this paper, a set of various cases of Noor curve are graphically studied by two curvature cases; a circle and an ellipse, and all figures and obtained rigour measurements are checked by AutoCAD program. With its simple, symmetric form, the future predictions are tuned for the Noor's curve to be usefully engaged in important practical applications.      

Downloads

Download data is not yet available.

Article Details

How to Cite
1.
Al-ossmi laith HM. Noor’s Curve, a New Geometric Form of Agnesi Witch, a Construction Method is Produced: Noura. Baghdad Sci.J [Internet]. 2021Jun.20 [cited 2021Dec.4];18(2(Suppl.):1113. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5037
Section
article

References

Fuchs D, Tabachnikov S. Mathematical Omnibus: Thirty Lectures on Classic Mathematics. Providence, RI: American Mathematical Soc. 2007; 5(3):142. doi:10.1090/mbk/046, ISBN 978-0-8218-4316-1, MR 2350979

Lipsman R, Rosenberg M. Multivariable Calculus with MATLAB: With Applications to Geometry and Physics. Springer, 2017:5(3): 42

Haftendorn D. Versiera, die Hexenkurve, Kurven erkunden und verstehen (German), Springer.2017;10(2): 79-91. doi:10.1007/978-3-658-14749-5

Sushanta G, Kashi S . A parametric study on geometrically nonlinear behavior of curved beams with single and double link rods, and supported on moving boundary. Int. J. Mech. Sci.. 2019; 161(62): 105-106

Paula F. Calculations of faith: mathematics, philosophy, and sanctity in 18th-century Italy (new work on Maria Gaetana Agnesi). Hist. Math. 2011; 38(2): 248-291. https://doi.org/10.1016/j.hm.2010.05.003

Tania Y. Piecewise rational interpolation by witch of Agnesi.J CAMathJ. 2017; 36(4):1205–1216

Norando T, Magnaghi-Delfino P. Witch of Agnesi: The True Story. InFaces of Geometry. From Agnesi to Mirzakhani 2020 (pp. 155-163). Springer, Cham.

Gray S, Malakyan T. The Witch of Agnesi A Lasting Contribution from the First Surviving Mathematical Work Written by a Woman. The College Mathematics Journal. 2018;30(4):258-268

Roy S. Properties of the Witch of Agnesi -Application to Fitting the Shapes of Spectral Lines. JOSA. 1940;30(9):415-419

Paula F. Calculations of faith: mathematics, philosophy, and sanctity in 18th-century Italy (new work on Maria Gaetana Agnesi).H.MJ 2011;38(2):248-291