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 PDF BibTeX XML Cite \textit{P. Blaschke} et al., J. Geom. Phys. 171, Article ID 104397, 19 p. (2022; Zbl 1483.53004) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{B. Odehnal}, KoG 25, 25--35 (2021; Zbl 1483.14055) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{R. Garcia} et al., KoG 24, 12--28 (2020; Zbl 1467.51011) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{K. Charytanowicz} et al., Beitr. Algebra Geom. 61, No. 3, 465--472 (2020; Zbl 1444.53005) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Izumiya} and \textit{N. Takeuchi}, Beitr. Algebra Geom. 61, No. 2, 317--334 (2020; Zbl 1459.53005) Full Text: DOI arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{S. Izumiya} and \textit{N. Takeuchi}, Note Mat. 39, No. 2, 13--24 (2019; Zbl 1433.53005) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. T. Sarıaydın} and \textit{T. Körpınar}, Afr. Mat. 30, No. 1--2, 209--216 (2019; Zbl 1438.53012) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{O. O. Tuncer} et al., Math. Methods Appl. Sci. 41, No. 13, 5096--5111 (2018; Zbl 1395.53004) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Y. Li} and \textit{D. Pei}, Math. Methods Appl. Sci. 41, No. 5, 1988--1997 (2018; Zbl 1391.53003) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{J. Cufí} et al., J. Math. Anal. Appl. 458, No. 1, 436--451 (2018; Zbl 1378.52008) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{H. Halas}, Acta Math. Hung. 151, No. 2, 462--481 (2017; Zbl 1399.51002) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{V. Asil} et al., Adv. Model. Optim. 18, No. 2, 307--313 (2016; Zbl 1413.53003) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{J. Cufí} and \textit{A. Reventós}, Elem. Math. 71, No. 4, 156--167 (2016; Zbl 1368.52004) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{L. Chen}, Open Math. 14, 889--896 (2016; Zbl 1355.53011) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Y. Li} and \textit{D. Pei}, J. Nonlinear Sci. Appl. 9, No. 3, 836--844 (2016; Zbl 1333.53081) Full Text: DOI Link OpenURL
Stachel, Hellmuth Strophoids are auto-isogonal cubics. (English) Zbl 1354.51022 G, Slov. Čas. Geom. Graf. 12, No. 24, 45-59 (2015). MSC: 51N20 PDF BibTeX XML Cite \textit{H. Stachel}, G, Slov. Čas. Geom. Graf. 12, No. 24, 45--59 (2015; Zbl 1354.51022) OpenURL
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 PDF BibTeX XML Cite \textit{T. Körpinar} and \textit{E. Turhan}, Bol. Soc. Parana. Mat. (3) 32, No. 1, 231--237 (2014; Zbl 1413.31007) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{S. Abu-Saymeh} et al., J. Geom. Graph. 18, No. 2, 133--157 (2014; Zbl 1319.51021) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{E. Jurkin}, G, Slov. Čas. Geom. Graf. 8, No. 16, 21--28 (2011; Zbl 1276.51007) OpenURL
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 PDF BibTeX XML Cite \textit{F. Kuczmarski}, Am. Math. Mon. 118, No. 6, 479--496 (2011; Zbl 1220.53008) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{T. Nishimura}, J. Singul. 2, 160--169 (2010; Zbl 1292.58031) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{T. Nishimura}, Demonstr. Math. 43, No. 2, 447--459 (2010; Zbl 1196.57029) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Gorjanc} and \textit{V. Benić}, Math. Commun. 14, No. 1, 85--102 (2009; Zbl 1177.51024) OpenURL
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 PDF BibTeX XML Cite \textit{A. Schwenk-Schellschmidt}, Result. Math. 52, No. 3--4, 369--382 (2008; Zbl 1165.53005) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{T. Nishimura}, Geom. Dedicata 133, 59--66 (2008; Zbl 1144.57025) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{E. Baranová} and \textit{K. Maleček}, G, Slov. Čas. Geom. Graf. 4, No. 8, 21--28 (2007; Zbl 1181.51011) OpenURL
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 PDF BibTeX XML Cite \textit{A. Sarioglugıl}, Int. J. Appl. Math. 20, No. 8, 1035--1044 (2007; Zbl 1143.53007) OpenURL
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 PDF BibTeX XML Cite \textit{M. A. Cheshkova}, Izv. Altaĭ. Gos. Univ., Ser. Mat. Inform. Fiz. 2006, No. 1, 48--50 (2006; Zbl 1374.53012) OpenURL
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 PDF BibTeX XML Cite \textit{A. Sliepčević}, G, Slov. Čas. Geom. Graf. 3, No. 5, 27--36 (2006; Zbl 1135.51311) OpenURL
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 PDF BibTeX XML Cite \textit{S. K. Adhikari}, Facta Univ., Ser. Mech. Autom. Control Robot. 4, No. 17, 367--372 (2005; Zbl 1114.74033) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{E. Kasap} et al., Int. J. Appl. Math. 18, No. 1, 9--16 (2005; Zbl 1096.53002) OpenURL
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 PDF BibTeX XML Cite \textit{A. Sarioglugil}, Hadronic J. 29, No. 5, 529--543 (2004; Zbl 1126.53305) OpenURL
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 PDF BibTeX XML Cite \textit{A. Sarıoğlugil} and \textit{N. Kuruoğlu}, Int. J. Appl. Math. 12, No. 4, 357--365 (2003; Zbl 1057.53006) OpenURL
Ueda, Kenji Pedal curves and surfaces. (English) Zbl 0989.65030 Lyche, Tom (ed.) et al., Mathematical methods for curves and surfaces. 5th international conference, Oslo, Norway, June 29 - July 4, 2000. Nashville, TN: Vanderbilt University Press. Innovations in Applied Mathematics. 497-506 (2001). MSC: 65D17 PDF BibTeX XML Cite \textit{K. Ueda}, in: Mathematical methods for curves and surfaces. 5th international conference, Oslo, Norway, June 29 -- July 4, 2000. Nashville, TN: Vanderbilt University Press. 497--506 (2001; Zbl 0989.65030) OpenURL
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 PDF BibTeX XML Cite \textit{G. Weiss} and \textit{H. Martini}, J. Geom. Graph. 4, No. 2, 169--180 (2000; Zbl 0982.53007) Full Text: EuDML EMIS OpenURL
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 PDF BibTeX XML Cite \textit{G. Suda Karáné} and \textit{H. Sachs}, Math. Pannonica 10, No. 1, 37--47 (1999; Zbl 0924.53006) Full Text: EuDML OpenURL
Sachs, Hans; Karáné, G. Schall- und Brechungsfronten an ebenen Kurven. (Sonic wave and refraction fronts at plane curves). (German) Zbl 0924.53005 Publ. Math. 54, No. 1-2, 189-205 (1999). MSC: 53A04 78A99 58C25 58K99 PDF BibTeX XML Cite \textit{H. Sachs} and \textit{G. Karáné}, Publ. Math. 54, No. 1--2, 189--205 (1999; Zbl 0924.53005) OpenURL
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 PDF BibTeX XML Cite \textit{Y. I. Kim} and \textit{Y. D. Chai}, Bull. Korean Math. Soc. 36, No. 1, 15--23 (1999; Zbl 0941.53006) OpenURL
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 PDF BibTeX XML Cite \textit{A. Sarioğlugil} et al., Pure Appl. Math. Sci. 40, No. 1--2, 23--27 (1994; Zbl 0827.53001) OpenURL
Gray, Alfred Modern differential geometry of curves and surfaces. (Differentialgeometrie. Klassische Theorie in moderner Darstellung. Aus dem Amerikan. übers. u. bearb. von Hubert Gollek.) (German) Zbl 0855.53001 Heidelberg: Spektrum Akademischer Verlag. xix, 618 S. (1994). Reviewer: Bernd Wegner (Berlin) MSC: 53-01 53Axx PDF BibTeX XML Cite \textit{A. Gray}, Differentialgeometrie. Klassische Theorie in moderner Darstellung. Aus dem Amerikan. übers. u. bearb. von Hubert Gollek. Heidelberg: Spektrum Akademischer Verlag (1994; Zbl 0855.53001) OpenURL
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 PDF BibTeX XML OpenURL
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 PDF BibTeX XML OpenURL
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 PDF BibTeX XML Cite \textit{G. Juel}, Zeuthen Tidsskr. (3) 3, 177 (1873; JFM 05.0370.02) OpenURL