Lines with controlled curvature constructed means of mathematical package MAPLE
DOI:
https://doi.org/10.18372/2415-8151.1.6007Keywords:
Curves with the guided curvature, classic curvature, law of curvature change, elastiques of euler, maple.Abstract
The method of description and construction of curves is considered on a plane, the curvature calculated with a positive degree is included in natural equations of that.References
Savelov A.A. Ploskie krivyie. Sistematika, svoystva, primeneniya / A.A. Savelov / - M .: Fizmatgiz, 1960.- 289 s.
Pilipaka S.F. Issledovanie ploskih krivyih, naturalnyie uravneniya kotoryih imeyut sinusoidalnyiy harakter // Pilipaka S.F. / Prikladnaya geometriya i inzhenernaya grafika. K .: KNUBA, 2006. - vyip. 76. - S. 160-165
Badaev Yu.I. Universalnaya analiticheskaya krivaya dlya postroeniya uzora. // Yu.I.Badaev, T.I.Schogoleva / Prikladnaya geom. i inzh. grafika - Trudyi / Tavricheskaya gos. agrotehnicheskaya akademiya. Vyip. 4, T, 40. - Melitopol: TDATU, 2008, - s. 32-37.
Borisenko V.D. Masshtabirovanie ploskih krivolineynyih obvodov zadannoy kriviznyi // Borisenko V.D., Ustenko S.A., Spitsyin V.E. / Prikladnaya geometriya i inzhenernaya grafika. K .: KNUBA, 2003. - vyip. 72. - S. 189-191
Rashevskiy L.V. Kurs differentsialnoy geometrii / L.V. Rashevskiy / - M., L. : Gonta, 1939, 360s.
Sachkov Yu.L. Issledovanie zadach mehaniki, robototehniki i vosstanovleniya izobrazheniy metodami geometricheskoy teorii upravleniya // Yu.L.Sachkov / Trudyi seminara laboratorii #7. Pereslavl-Zalesskiy: Institut programmnyih Sistem RAN, 2011. - 79 s.