Li, Yanlin; Tuncer, O. Oğulcan On (contra)pedals and (anti)orthotomics of frontals in de Sitter 2-space. (English) Zbl 07783905 Math. Methods Appl. Sci. 46, No. 9, 11157-11171 (2023). MSC: 53A35 53B30 57R45 PDFBibTeX XMLCite \textit{Y. Li} and \textit{O. O. Tuncer}, Math. Methods Appl. Sci. 46, No. 9, 11157--11171 (2023; Zbl 07783905) Full Text: DOI
Yao, Kaixin; Li, Meixuan; Li, Enze; Pei, Donghe Pedal and contrapedal curves of framed immersions in the Euclidean 3-space. (English) Zbl 1521.53003 Mediterr. J. Math. 20, No. 4, Paper No. 204, 13 p. (2023). Reviewer: Anton Gfrerrer (Graz) MSC: 53A04 53C42 57R45 PDFBibTeX XMLCite \textit{K. Yao} et al., Mediterr. J. Math. 20, No. 4, Paper No. 204, 13 p. (2023; Zbl 1521.53003) Full Text: DOI
Gheorghe, Liliana Gabriela Poristic virtues of a negative pedal curve. (English) Zbl 1513.51023 Int. J. Geom. 11, No. 1, 5-16 (2022). MSC: 51M04 51M15 51A05 PDFBibTeX XMLCite \textit{L. G. Gheorghe}, Int. J. Geom. 11, No. 1, 5--16 (2022; Zbl 1513.51023) Full Text: arXiv Link
Blaschke, Petr; Blaschke, Filip; Blaschke, Martin Pedal coordinates and free double linkage. (English) Zbl 1483.53004 J. Geom. Phys. 171, Article ID 104397, 19 p. (2022). Reviewer: Ergin Bayram (Samsun) MSC: 53A04 53Z05 70K99 PDFBibTeX XMLCite \textit{P. Blaschke} et al., J. Geom. Phys. 171, Article ID 104397, 19 p. (2022; Zbl 1483.53004) Full Text: DOI arXiv
Gheorghe, Liliana Gabriela When Euler (circle) meets Poncelet (porism). (English) Zbl 1513.51022 Int. J. Geom. 10, No. 4, 5-17 (2021). MSC: 51M04 51M15 51A05 PDFBibTeX XMLCite \textit{L. G. Gheorghe}, Int. J. Geom. 10, No. 4, 5--17 (2021; Zbl 1513.51022) Full Text: arXiv Link
Odehnal, Boris A rarity in geometry: a septic curve. (English) Zbl 1483.14055 KoG 25, 25-35 (2021). Reviewer: Victor V. Pambuccian (Glendale) MSC: 14H45 14P99 51F99 51N15 PDFBibTeX XMLCite \textit{B. Odehnal}, KoG 25, 25--35 (2021; Zbl 1483.14055) Full Text: DOI
Garcia, Ronaldo; Reznik, Dan; Stachel, Hellmuth; Helman, Mark Steiner’s hat: a constant-area deltoid associated with the ellipse. (English) Zbl 1467.51011 KoG 24, 12-28 (2020). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 51M04 51N20 65D18 51M25 PDFBibTeX XMLCite \textit{R. Garcia} et al., KoG 24, 12--28 (2020; Zbl 1467.51011) Full Text: DOI arXiv
Charytanowicz, Katarzyna; Cieślak, Waldemar; Mozgawa, Witold A new formula for the length of a closed curve. (English) Zbl 1444.53005 Beitr. Algebra Geom. 61, No. 3, 465-472 (2020). MSC: 53A04 53A05 52A15 PDFBibTeX XMLCite \textit{K. Charytanowicz} et al., Beitr. Algebra Geom. 61, No. 3, 465--472 (2020; Zbl 1444.53005) Full Text: DOI
Izumiya, Shyuichi; Takeuchi, Nobuko Primitivoids and inversions of plane curves. (English) Zbl 1459.53005 Beitr. Algebra Geom. 61, No. 2, 317-334 (2020). Reviewer: Hans Havlicek (Wien) MSC: 53A04 53A05 PDFBibTeX XMLCite \textit{S. Izumiya} and \textit{N. Takeuchi}, Beitr. Algebra Geom. 61, No. 2, 317--334 (2020; Zbl 1459.53005) Full Text: DOI arXiv Link
Izumiya, Shyuichi; Takeuchi, Nobuko Evolutoids and pedaloids of plane curves. (English) Zbl 1433.53005 Note Mat. 39, No. 2, 13-24 (2019). MSC: 53A04 53A05 PDFBibTeX XMLCite \textit{S. Izumiya} and \textit{N. Takeuchi}, Note Mat. 39, No. 2, 13--24 (2019; Zbl 1433.53005) Full Text: DOI
Sarıaydın, Muhammed T.; Körpınar, Talat New approach to Bäcklund transformations for a curve and its pedal curve. (English) Zbl 1438.53012 Afr. Mat. 30, No. 1-2, 209-216 (2019). MSC: 53A04 PDFBibTeX XMLCite \textit{M. T. Sarıaydın} and \textit{T. Körpınar}, Afr. Mat. 30, No. 1--2, 209--216 (2019; Zbl 1438.53012) Full Text: DOI
Tuncer, O. Oğulcan; Ceyhan, Hazal; Gök, Ismail; Ekmekci, F. Nejat Notes on pedal and contrapedal curves of fronts in the Euclidean plane. (English) Zbl 1395.53004 Math. Methods Appl. Sci. 41, No. 13, 5096-5111 (2018). MSC: 53A04 58K05 57R45 PDFBibTeX XMLCite \textit{O. O. Tuncer} et al., Math. Methods Appl. Sci. 41, No. 13, 5096--5111 (2018; Zbl 1395.53004) Full Text: DOI
Li, Yanlin; Pei, Donghe Pedal curves of frontals in the Euclidean plane. (English) Zbl 1391.53003 Math. Methods Appl. Sci. 41, No. 5, 1988-1997 (2018). MSC: 53A04 PDFBibTeX XMLCite \textit{Y. Li} and \textit{D. Pei}, Math. Methods Appl. Sci. 41, No. 5, 1988--1997 (2018; Zbl 1391.53003) Full Text: DOI
Cufí, Julià; Gallego, Eduardo; Reventós, Agustí A note on Hurwitz’s inequality. (English) Zbl 1378.52008 J. Math. Anal. Appl. 458, No. 1, 436-451 (2018). MSC: 52A40 52A10 PDFBibTeX XMLCite \textit{J. Cufí} et al., J. Math. Anal. Appl. 458, No. 1, 436--451 (2018; Zbl 1378.52008) Full Text: DOI arXiv
Halas, H. Line-inversion and pedal transformation in the quasi-hyperbolic plane. (English) Zbl 1399.51002 Acta Math. Hung. 151, No. 2, 462-481 (2017). MSC: 51A45 51M15 51M99 51N25 PDFBibTeX XMLCite \textit{H. Halas}, Acta Math. Hung. 151, No. 2, 462--481 (2017; Zbl 1399.51002) Full Text: DOI
Asil, Vedat; Altay, Gülden; Sariaydin, Mohammed T. The pedal cone surface consisting parallel curves according to Bishop frame in \(\mathbb{E}^3\). (English) Zbl 1413.53003 Adv. Model. Optim. 18, No. 2, 307-313 (2016). MSC: 53A04 PDFBibTeX XMLCite \textit{V. Asil} et al., Adv. Model. Optim. 18, No. 2, 307--313 (2016; Zbl 1413.53003) Full Text: Link
Cufí, Julià; Reventós, Agustí A lower bound for the isoperimetric deficit. (English) Zbl 1368.52004 Elem. Math. 71, No. 4, 156-167 (2016). Reviewer: Pietro De Poi (Udine) MSC: 52A40 51M16 51M25 52A10 PDFBibTeX XMLCite \textit{J. Cufí} and \textit{A. Reventós}, Elem. Math. 71, No. 4, 156--167 (2016; Zbl 1368.52004) Full Text: DOI arXiv
Chen, Liang Singularities of lightcone pedals of spacelike curves in Lorentz-Minkowski 3-space. (English) Zbl 1355.53011 Open Math. 14, 889-896 (2016). MSC: 53A35 58K05 PDFBibTeX XMLCite \textit{L. Chen}, Open Math. 14, 889--896 (2016; Zbl 1355.53011) Full Text: DOI
Li, Yanlin; Pei, Donghe Pedal curves of fronts in the sphere. (English) Zbl 1333.53081 J. Nonlinear Sci. Appl. 9, No. 3, 836-844 (2016). Reviewer: Dorin Andrica (Riyadh) MSC: 53C40 53A04 53D10 PDFBibTeX XMLCite \textit{Y. Li} and \textit{D. Pei}, J. Nonlinear Sci. Appl. 9, No. 3, 836--844 (2016; Zbl 1333.53081) Full Text: DOI Link
Stachel, Hellmuth Strophoids are auto-isogonal cubics. (English) Zbl 1354.51022 G, Slov. Čas. Geom. Graf. 12, No. 24, 45-59 (2015). MSC: 51N20 PDFBibTeX XMLCite \textit{H. Stachel}, G, Slov. Čas. Geom. Graf. 12, No. 24, 45--59 (2015; Zbl 1354.51022)
Körpinar, Talat; Turhan, Essin Pedal curves of tangent surfaces of biharmonic \(\mathfrak B\)-general helices according to Bishop frame in Heisenberg group \(\mathrm{Heis}^3\). (English) Zbl 1413.31007 Bol. Soc. Parana. Mat. (3) 32, No. 1, 231-237 (2014). MSC: 31B30 58E20 PDFBibTeX XMLCite \textit{T. Körpinar} and \textit{E. Turhan}, Bol. Soc. Parana. Mat. (3) 32, No. 1, 231--237 (2014; Zbl 1413.31007) Full Text: Link
Abu-Saymeh, Sadi; Hajja, Mowaffaq; Stachel, Hellmuth Equicevian points and cubics of a triangle. (English) Zbl 1319.51021 J. Geom. Graph. 18, No. 2, 133-157 (2014). Reviewer: Rolf Riesinger (Wien) MSC: 51N20 51M25 51M15 PDFBibTeX XMLCite \textit{S. Abu-Saymeh} et al., J. Geom. Graph. 18, No. 2, 133--157 (2014; Zbl 1319.51021) Full Text: Link
Jurkin, Ema Snails in isotropic plane. (English. Slovak summary) Zbl 1276.51007 G, Slov. Čas. Geom. Graf. 8, No. 16, 21-28 (2011). MSC: 51M05 PDFBibTeX XMLCite \textit{E. Jurkin}, G, Slov. Čas. Geom. Graf. 8, No. 16, 21--28 (2011; Zbl 1276.51007)
Kuczmarski, Fred Roads and wheels, roulettes and pedals. (English) Zbl 1220.53008 Am. Math. Mon. 118, No. 6, 479-496 (2011). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 53A04 53A17 PDFBibTeX XMLCite \textit{F. Kuczmarski}, Am. Math. Mon. 118, No. 6, 479--496 (2011; Zbl 1220.53008) Full Text: DOI
Nishimura, Takashi Singularities of one parameter pedal unfolding of spherical pedal curves. (English) Zbl 1292.58031 J. Singul. 2, 160-169 (2010). MSC: 58K40 58K60 53A04 58K20 PDFBibTeX XMLCite \textit{T. Nishimura}, J. Singul. 2, 160--169 (2010; Zbl 1292.58031) Full Text: DOI
Nishimura, Takashi Singularities of pedal curves produced by singular dual curve germs in \(S^n\). (English) Zbl 1196.57029 Demonstr. Math. 43, No. 2, 447-459 (2010). MSC: 57R45 58C25 53A40 53A04 PDFBibTeX XMLCite \textit{T. Nishimura}, Demonstr. Math. 43, No. 2, 447--459 (2010; Zbl 1196.57029) Full Text: DOI
Gorjanc, Sonja; Benić, Vladimir Special sextics with a quadruple line. (English) Zbl 1177.51024 Math. Commun. 14, No. 1, 85-102 (2009). Reviewer: Rolf Riesinger (Wien) MSC: 51N20 53A05 14J17 PDFBibTeX XMLCite \textit{S. Gorjanc} and \textit{V. Benić}, Math. Commun. 14, No. 1, 85--102 (2009; Zbl 1177.51024)
Schwenk-Schellschmidt, Angela Pedal curves. I: Homogeneous differential equation. (English) Zbl 1165.53005 Result. Math. 52, No. 3-4, 369-382 (2008). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 53A04 34A30 PDFBibTeX XMLCite \textit{A. Schwenk-Schellschmidt}, Result. Math. 52, No. 3--4, 369--382 (2008; Zbl 1165.53005) Full Text: DOI
Nishimura, Takashi Normal forms for singularities of pedal curves produced by non-singular dual curve germs in \(S^{n}\). (English) Zbl 1144.57025 Geom. Dedicata 133, 59-66 (2008). MSC: 57R45 58C25 53A40 53A04 PDFBibTeX XMLCite \textit{T. Nishimura}, Geom. Dedicata 133, 59--66 (2008; Zbl 1144.57025) Full Text: DOI
Baranová, Eva; Maleček, Kamil One possible way of creating cyclids. (Slovak. English summary) Zbl 1181.51011 G, Slov. Čas. Geom. Graf. 4, No. 8, 21-28 (2007). MSC: 51K10 PDFBibTeX XMLCite \textit{E. Baranová} and \textit{K. Maleček}, G, Slov. Čas. Geom. Graf. 4, No. 8, 21--28 (2007; Zbl 1181.51011)
Sarioglugıl, Ayhan On the pedal of a plane curve in Minkowskian space \(L^2\). (English) Zbl 1143.53007 Int. J. Appl. Math. 20, No. 8, 1035-1044 (2007). Reviewer: Richard Koch (München) MSC: 53A05 PDFBibTeX XMLCite \textit{A. Sarioglugıl}, Int. J. Appl. Math. 20, No. 8, 1035--1044 (2007; Zbl 1143.53007)
Cheshkova, M. A. Pedal surface of a hypersurface. (Russian. English summary) Zbl 1374.53012 Izv. Altaĭ. Gos. Univ., Ser. Mat. Inform. Fiz. 2006, No. 1, 48-50 (2006). MSC: 53A05 PDFBibTeX XMLCite \textit{M. A. Cheshkova}, Izv. Altaĭ. Gos. Univ., Ser. Mat. Inform. Fiz. 2006, No. 1, 48--50 (2006; Zbl 1374.53012)
Sliepčević, Anna Normal curves to conic sections. (Slovak. English summary) Zbl 1135.51311 G, Slov. Čas. Geom. Graf. 3, No. 5, 27-36 (2006). MSC: 51N05 PDFBibTeX XMLCite \textit{A. Sliepčević}, G, Slov. Čas. Geom. Graf. 3, No. 5, 27--36 (2006; Zbl 1135.51311)
Adhikari, Swapan Kumar Mechanical role of crucial ligaments in flexion and extension expressed geometrically. (English) Zbl 1114.74033 Facta Univ., Ser. Mech. Autom. Control Robot. 4, No. 17, 367-372 (2005). Reviewer: Katica Hedrih (Niš) MSC: 74L15 92C10 PDFBibTeX XMLCite \textit{S. K. Adhikari}, Facta Univ., Ser. Mech. Autom. Control Robot. 4, No. 17, 367--372 (2005; Zbl 1114.74033)
Kasap, E.; Saroğlugil, A.; Kuruoğlu, N. The pedal cone surface of a developable ruled surface. (English) Zbl 1096.53002 Int. J. Appl. Math. 18, No. 1, 9-16 (2005). MSC: 53A05 PDFBibTeX XMLCite \textit{E. Kasap} et al., Int. J. Appl. Math. 18, No. 1, 9--16 (2005; Zbl 1096.53002)
Sarioglugil, A. On a strip curve of the pedal of a given surface with constant support function in Minkowskian space \(\mathbb L^3\). (English) Zbl 1126.53305 Hadronic J. 29, No. 5, 529-543 (2006). MSC: 53A35 53A05 PDFBibTeX XMLCite \textit{A. Sarioglugil}, Hadronic J. 29, No. 5, 529--543 (2004; Zbl 1126.53305)
Sarıoğlugil, Ayhan; Kuruoğlu, Nuri On strip invariants of a strip on the pedal of a surface with a constant support function in \(E^3\). (English) Zbl 1057.53006 Int. J. Appl. Math. 12, No. 4, 357-365 (2003). Reviewer: Anton Gfrerrer (Graz) MSC: 53A05 PDFBibTeX XMLCite \textit{A. Sarıoğlugil} and \textit{N. Kuruoğlu}, Int. J. Appl. Math. 12, No. 4, 357--365 (2003; Zbl 1057.53006)
Weiss, Gunter; Martini, Horst On curves and surfaces in illumination geometry. (English) Zbl 0982.53007 J. Geom. Graph. 4, No. 2, 169-180 (2000). MSC: 53A07 68U05 53A04 53A05 PDFBibTeX XMLCite \textit{G. Weiss} and \textit{H. Martini}, J. Geom. Graph. 4, No. 2, 169--180 (2000; Zbl 0982.53007) Full Text: EuDML EMIS
Suda Karáné, Gizella; Sachs, Hans Schallfronten an ebenen Kurven. III. (Sonic wave fronts at plane curves. III). (German) Zbl 0924.53006 Math. Pannonica 10, No. 1, 37-47 (1999). MSC: 53A04 78A99 PDFBibTeX XMLCite \textit{G. Suda Karáné} and \textit{H. Sachs}, Math. Pannonica 10, No. 1, 37--47 (1999; Zbl 0924.53006) Full Text: EuDML
Sachs, Hans; Karáné, G. Schall- und Brechungsfronten an ebenen Kurven. (Sonic wave and refraction fronts at plane curves). (German) Zbl 0924.53005 Publ. Math. Debr. 54, No. 1-2, 189-205 (1999). MSC: 53A04 78A99 58C25 58K99 PDFBibTeX XMLCite \textit{H. Sachs} and \textit{G. Karáné}, Publ. Math. Debr. 54, No. 1--2, 189--205 (1999; Zbl 0924.53005)
Kim, Yong Il; Chai, Y. D. Inequalities for the area of constant relative breadth curves. (English) Zbl 0941.53006 Bull. Korean Math. Soc. 36, No. 1, 15-23 (1999). Reviewer: Bernd Wegner (Berlin) MSC: 53A04 52A10 PDFBibTeX XMLCite \textit{Y. I. Kim} and \textit{Y. D. Chai}, Bull. Korean Math. Soc. 36, No. 1, 15--23 (1999; Zbl 0941.53006)
Sarioğlugil, Ayhan; Kuruoğlu, Nuri; Caliskan, Mustafa On the characteristic properties of the plane pedal curves. (English) Zbl 0827.53001 Pure Appl. Math. Sci. 40, No. 1-2, 23-27 (1994). Reviewer: Ü.Lumiste (Tartu) MSC: 53A04 PDFBibTeX XMLCite \textit{A. Sarioğlugil} et al., Pure Appl. Math. Sci. 40, No. 1--2, 23--27 (1994; Zbl 0827.53001)
Hammond, J. Solution of a question (5304). (English) JFM 10.0492.01 Educ. Times XXIX. 47-50 (1878). Reviewer: Ohrtmann, Dr. (Berlin) MSC: 51N20 51N35 57Q45 57M25 14H50 PDFBibTeX XML
Hicks, W. M. Notes on pedals. (Notes on pedals.) (French) JFM 08.0431.02 Messenger (2) VI. 94-96 (1875). Reviewer: Glaisher, Prof. (Cambridge) (Orthmann, Dr. (Berlin)) MSC: 53A04 PDFBibTeX XML
Juel, G. About a pedalcurve. (Om Fodpunktkurver.) (Danish) JFM 05.0370.02 Zeuthen Tidsskr. (3) III, 177 (1873). Reviewer: Hansen, P. C. V. (Kopenhagen) MSC: 51N20 51L10 53C75 PDFBibTeX XMLCite \textit{G. Juel}, Zeuthen Tidsskr. (3) 3, 177 (1873; JFM 05.0370.02)