Kim, Hyang Sook; Park, See Eun The reinterpretation and visualization for methods of solving problem by Khayyam and Al-Kāshi for teaching the mathematical connection of algebra and geometry. (English) Zbl 07546017 East Asian Math. J. 37, No. 4, 401-426 (2021). MSC: 97-03 97G70 97U50 PDF BibTeX XML Cite \textit{H. S. Kim} and \textit{S. E. Park}, East Asian Math. J. 37, No. 4, 401--426 (2021; Zbl 07546017) Full Text: DOI OpenURL
Razpet, Marko; Razpet, Nada Paper folding, angle trisection and trisectrix of Maclaurin. (Slovenian. English summary) Zbl 1485.51016 Obz. Mat. Fiz. 67, No. 6, 201-214 (2020). MSC: 51M15 51M04 PDF BibTeX XML Cite \textit{M. Razpet} and \textit{N. Razpet}, Obz. Mat. Fiz. 67, No. 6, 201--214 (2020; Zbl 1485.51016) OpenURL
Kim, Hyang Sook; Kim, Mi Yeoun; Park, Jae Hyun The reinterpretation and visualization about trisecting general angle in medieval Islam using conic sections. (Korean. English summary) Zbl 1433.51002 East Asian Math. J. 35, No. 2, 141-161 (2019). MSC: 51-03 01A30 51M04 PDF BibTeX XML Cite \textit{H. S. Kim} et al., East Asian Math. J. 35, No. 2, 141--161 (2019; Zbl 1433.51002) Full Text: DOI OpenURL
Kim, Hyang Sook; Kim, Yang; Pak, Jin Suk The reinterpretation and the visualization of Pappus’ methods for trisecting the angle. (Korean. English summary) Zbl 1393.97004 East Asian Math. J. 34, No. 2, 219-238 (2018). MSC: 97G40 51M04 PDF BibTeX XML Cite \textit{H. S. Kim} et al., East Asian Math. J. 34, No. 2, 219--238 (2018; Zbl 1393.97004) Full Text: DOI OpenURL
Gasteratos, Ioannis; Kuruklis, Spiridon; Kuruklis, Thedore A trigonometrical approach to Morley’s observation. (English) Zbl 1440.00003 Cubo 19, No. 2, 73-85 (2017). MSC: 00A08 51M04 PDF BibTeX XML Cite \textit{I. Gasteratos} et al., Cubo 19, No. 2, 73--85 (2017; Zbl 1440.00003) Full Text: DOI OpenURL
v. Pape, Bodo Diedrich Uhlhorn (1764–1837) and the great problems of antiquity. (Diedrich Uhlhorn (1764–1837) und die großen Probleme der Antike.) (German) Zbl 1392.01018 Mitt. Math. Ges. Hamb. 37, 29-59 (2017). Reviewer: Victor V. Pambuccian (Yerevan) MSC: 01A55 01A20 51-03 PDF BibTeX XML Cite \textit{B. v. Pape}, Mitt. Math. Ges. Hamb. 37, 29--59 (2017; Zbl 1392.01018) OpenURL
Meskens, Ad; Tytgat, Paul Exploring classical Greek construction problems with interactive geometry software. (English) Zbl 1447.51001 Compact Textbooks in Mathematics. Basel: Birkhäuser/Springer (ISBN 978-3-319-42862-8/pbk; 978-3-319-42863-5/ebook). xii, 185 p. (2017). Reviewer: Ana Pereira do Vale (Braga) MSC: 51-01 51-03 51-04 51M15 01A20 PDF BibTeX XML Cite \textit{A. Meskens} and \textit{P. Tytgat}, Exploring classical Greek construction problems with interactive geometry software. Basel: Birkhäuser/Springer (2017; Zbl 1447.51001) Full Text: DOI OpenURL
Alperin, Roger C. Axioms for origami and compass constructions. (English) Zbl 1370.51012 J. Geom. Graph. 20, No. 1, 13-22 (2016). Reviewer: Antonio M. Oller (Zaragoza) MSC: 51M15 51N15 PDF BibTeX XML Cite \textit{R. C. Alperin}, J. Geom. Graph. 20, No. 1, 13--22 (2016; Zbl 1370.51012) Full Text: Link OpenURL
Kuruklis, Spiridon A. Trisectors like bisectors with equilaterals instead of points. (English) Zbl 1327.51018 Cubo 16, No. 2, 71-110 (2014). Reviewer: Georgi Hristov Georgiev (Shumen) MSC: 51M04 51M15 PDF BibTeX XML Cite \textit{S. A. Kuruklis}, Cubo 16, No. 2, 71--110 (2014; Zbl 1327.51018) Full Text: DOI OpenURL
Borceux, Francis An axiomatic approach to geometry. Geometric trilogy I. (English) Zbl 1298.51001 Cham: Springer (ISBN 978-3-319-01729-7/hbk; 978-3-319-01730-3/ebook; 978-3-319-01804-1/set). xv, 403 p. (2014). Reviewer: Rolf Riesinger (Wien) MSC: 51-01 51-03 01A05 51A05 51A15 51A30 51A35 51B05 51B20 51M04 51M09 51M15 51M20 51M25 PDF BibTeX XML Cite \textit{F. Borceux}, An axiomatic approach to geometry. Geometric trilogy I. Cham: Springer (2014; Zbl 1298.51001) Full Text: DOI OpenURL
Jerman, Marjan Solving the three classical Greek problems. (Slovenian. English summary) Zbl 1360.51001 Obz. Mat. Fiz. 59, No. 5, 182-192 (2012). MSC: 51-03 01A20 51M04 51M15 PDF BibTeX XML Cite \textit{M. Jerman}, Obz. Mat. Fiz. 59, No. 5, 182--192 (2012; Zbl 1360.51001) OpenURL
Vranka, Antonín Square – the golden gate to space. (Slovak. English summary) Zbl 1298.51030 G, Slov. Čas. Geom. Graf. 9, No. 18, 41-66 (2012). MSC: 51N05 51-03 01A16 01A20 PDF BibTeX XML Cite \textit{A. Vranka}, G, Slov. Čas. Geom. Graf. 9, No. 18, 41--66 (2012; Zbl 1298.51030) OpenURL
Humenberger, Hans Elementary mathematical considerations of the Delic problem and the trisection of the angle. (Elementarmathematische Betrachtungen zum Delischen Problem und zu Winkeldreiteilung.) (German) Zbl 1275.51006 Int. Math. Nachr., Wien 219, 25-43 (2012). MSC: 51M15 97G40 51M04 PDF BibTeX XML Cite \textit{H. Humenberger}, Int. Math. Nachr., Wien 219, 25--43 (2012; Zbl 1275.51006) OpenURL
Ostermann, Alexander; Wanner, Gerhard Geometry by its history. (English) Zbl 1288.51001 Undergraduate Texts in Mathematics. Readings in Mathematics. Berlin: Springer (ISBN 978-3-642-29162-3/hbk; 978-3-642-29163-0/ebook). xii, 437 p. (2012). Reviewer: Mowaffaq Hajja (Irbid) MSC: 51-01 51-03 01A05 51M04 51M05 51M15 51N10 51N15 PDF BibTeX XML Cite \textit{A. Ostermann} and \textit{G. Wanner}, Geometry by its history. Berlin: Springer (2012; Zbl 1288.51001) Full Text: DOI OpenURL
Fuchs, Clemens Angle trisection with origami and related topics. (English) Zbl 1234.51012 Elem. Math. 66, No. 3, 121-131 (2011). Reviewer: Antonio M. Oller (Zaragoza) MSC: 51M15 51M04 PDF BibTeX XML Cite \textit{C. Fuchs}, Elem. Math. 66, No. 3, 121--131 (2011; Zbl 1234.51012) Full Text: DOI OpenURL
Conway, John B. Mathematical connections. A capstone course. (English) Zbl 1220.00001 Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4979-8/pbk). xvii, 243 p. (2010). Reviewer: Ramankutty Menon (Canning Vale) MSC: 00A05 00A09 05-01 16-01 46-01 47-01 51-01 52-01 PDF BibTeX XML Cite \textit{J. B. Conway}, Mathematical connections. A capstone course. Providence, RI: American Mathematical Society (AMS) (2010; Zbl 1220.00001) OpenURL
Lützen, Jesper The algebra of geometric impossibility: Descartes and Montucla on the impossibility of the duplication of the cube and the trisection of the angle. (English) Zbl 1196.01004 Centaurus 52, No. 1, 4-37 (2010). Reviewer: Franka Miriam Brückler (Zagreb) MSC: 01A45 PDF BibTeX XML Cite \textit{J. Lützen}, Centaurus 52, No. 1, 4--37 (2010; Zbl 1196.01004) Full Text: DOI OpenURL
Lützen, Jesper Why was Wantzel overlooked for a century? The changing importance of an impossibility result. (English) Zbl 1181.01034 Hist. Math. 36, No. 4, 374-394 (2009). Reviewer: Victor V. Pambuccian (Phoenix) MSC: 01A55 51M15 12D05 01A85 PDF BibTeX XML Cite \textit{J. Lützen}, Hist. Math. 36, No. 4, 374--394 (2009; Zbl 1181.01034) Full Text: DOI OpenURL
Tikekar, V. G. Pride-worthy Indian contribution to Morley’s miracle. (English) Zbl 1198.01005 Gaṇita-Bhāratī 29, No. 1-2, 61-67 (2007). Reviewer: Girish Ramaiah (Bangalore) MSC: 01A32 01-01 PDF BibTeX XML Cite \textit{V. G. Tikekar}, Gaṇita-Bhāratī 29, No. 1--2, 61--67 (2007; Zbl 1198.01005) OpenURL
Brandts, Jan; Korotov, Sergey; Křížek, Michal Dissection of the path-simplex in \(\mathbb {R}^n\) into \(n\) path-subsimplices. (English) Zbl 1112.51006 Linear Algebra Appl. 421, No. 2-3, 382-393 (2007). Reviewer: Horst Martini (Chemnitz) MSC: 51M20 65N30 PDF BibTeX XML Cite \textit{J. Brandts} et al., Linear Algebra Appl. 421, No. 2--3, 382--393 (2007; Zbl 1112.51006) Full Text: DOI OpenURL
Knudtzon, Signe Holm; Aarnes, Johan F. Morley’s heart – playing with a geometric theorem. II. (Norwegian. English summary) Zbl 1075.51507 Normat 52, No. 1, 39-50 (2004). MSC: 51M04 PDF BibTeX XML Cite \textit{S. H. Knudtzon} and \textit{J. F. Aarnes}, Normat 52, No. 1, 39--50 (2004; Zbl 1075.51507) OpenURL
Knudtzon, Signe Holm; Aarnes, Johan F. Morley’s heart – planning with a geometric theorem. I. (Norwegian. English summary) Zbl 1075.51506 Normat 51, No. 4, 145-154 (2003). MSC: 51M04 PDF BibTeX XML Cite \textit{S. H. Knudtzon} and \textit{J. F. Aarnes}, Normat 51, No. 4, 145--154 (2003; Zbl 1075.51506) OpenURL
Baragar, Arthur Constructions using a compass and twice-notched straightedge. (English) Zbl 1026.51014 Am. Math. Mon. 109, No. 2, 151-164 (2002). Reviewer: Horst Martini (Chemnitz) MSC: 51M15 PDF BibTeX XML Cite \textit{A. Baragar}, Am. Math. Mon. 109, No. 2, 151--164 (2002; Zbl 1026.51014) Full Text: DOI OpenURL
Czech, Ludmiła Examples of geometrical construction animation. (English) Zbl 0957.51008 Röschel, O. (ed.) et al., Geometrie-Tagung “107 Jahre Drehfluchtprinzip”, Vorau, Österreich, 1. Juni-6. Juni 1997. Tagungsband. Vorau: TU Graz, 44-51 (1999). Reviewer: Richard Koch (München) MSC: 51M15 53A17 PDF BibTeX XML Cite \textit{L. Czech}, in: Geometrie-Tagung ``107 Jahre Drehfluchtprinzip'', Vorau, Österreich, 1. Juni--6. Juni 1997. Tagungsband. Vorau: TU Graz. 44--51 (1999; Zbl 0957.51008) OpenURL
Jesseph, Douglas M. Squaring the circle. The war between Hobbes and Wallis. (English) Zbl 0938.01001 Science and its Conceptual Foundations. Chicago, IL: The University of Chicago Press. xiv, 419 p. (1999). Reviewer: S.Probst (Hannover) MSC: 01-02 01A45 03A05 00B30 PDF BibTeX XML Cite \textit{D. M. Jesseph}, Squaring the circle. The war between Hobbes and Wallis. Chicago, IL: The University of Chicago Press (1999; Zbl 0938.01001) OpenURL
Čabrić, Branislav The trisection problem. (English) Zbl 0885.51019 Normat 45, No. 2, 79-81 (1997). Reviewer: E.J.F.Primrose (Leicester) MSC: 51M15 PDF BibTeX XML Cite \textit{B. Čabrić}, Normat 45, No. 2, 79--81 (1997; Zbl 0885.51019) OpenURL
Hull, Thomas A note on “impossible” paper folding. (English) Zbl 0849.51010 Am. Math. Mon. 103, No. 3, 240-241 (1996). Reviewer: R.Koch (München) MSC: 51M15 PDF BibTeX XML Cite \textit{T. Hull}, Am. Math. Mon. 103, No. 3, 240--241 (1996; Zbl 0849.51010) Full Text: DOI OpenURL
Balo, Tapan Kr.; Roy, Probir Kr. Trisection and pentasection of any angle by dividers. (English) Zbl 0872.51015 Acta Cienc. Indica, Math. 21, No. 3, 343-347 (1995). MSC: 51M15 PDF BibTeX XML Cite \textit{T. Kr. Balo} and \textit{P. Kr. Roy}, Acta Cienc. Indica, Math. 21, No. 3, 343--347 (1995; Zbl 0872.51015) OpenURL
Folkerts, Menso; Lorch, Richard Some geometrical theorems attributed to Archimedes and their appearance in the West. (English) Zbl 0865.01003 Dollo, Corrado (ed.), Archimede: myth, tradition, science. International conference, Siracusa-Catania, Italy, October 9–12, 1989. Firenze: Leo S. Olschki. Bibl. Nuncius, Studi Testi. 4, 61-79 (1992). Reviewer: S.L.Segal (Rochester) MSC: 01A30 01A20 01A35 PDF BibTeX XML Cite \textit{M. Folkerts} and \textit{R. Lorch}, in: Archimede: mito, tradizione, scienza. Convegno internazionale, Siracusa-Catania, Italia, 9-12 ottobre 1989. Firenze: Leo S. Olschki. 61--79 (1992; Zbl 0865.01003) OpenURL
Ogilvy, C. Stanley Excursions in geometry. Unabr. and corr. republ. of the orig. publ. 1969. (English) Zbl 0768.51001 New York: Dover Publications, Inc.. vi, 178 p. (1990). MSC: 51-01 51Mxx 51M20 52A40 51Nxx PDF BibTeX XML Cite \textit{C. S. Ogilvy}, Excursions in geometry. Unabr. and corr. republ. of the orig. publ. 1969. New York: Dover Publications, Inc. (1990; Zbl 0768.51001) OpenURL
Knorr, Wilbur Richard Textual studies in ancient and medieval geometry. (English) Zbl 0684.01002 Boston etc.: Birkhäuser Verlag. xvii, 852 p. DM 298.00 (1989). Reviewer: A.S.Saidan MSC: 01A20 01A35 51-03 PDF BibTeX XML Cite \textit{W. R. Knorr}, Textual studies in ancient and medieval geometry. Boston etc.: Birkhäuser Verlag (1989; Zbl 0684.01002) OpenURL
Gleason, Andrew M. Angle trisection, the heptagon, and the triskaidecagon. (English) Zbl 0661.51013 Am. Math. Mon. 95, No. 3, 185-194 (1988). Reviewer: H.Germer MSC: 51M15 PDF BibTeX XML Cite \textit{A. M. Gleason}, Am. Math. Mon. 95, No. 3, 185--194 (1988; Zbl 0661.51013) Full Text: DOI OpenURL
Mohanty, Gouranga Chandra Approximate Euclidean angle-trisection. (English) Zbl 0587.51015 Math. Stud. 47(1979), 205-209 (1985). Reviewer: W.Ströher MSC: 51M15 51M05 PDF BibTeX XML Cite \textit{G. C. Mohanty}, Math. Stud. 47, 205--209 (1985; Zbl 0587.51015) OpenURL
Alphonso Straightening the curved. (Mĕyaššēr ’Āqōḇ (”Vypryamlyayushchij krivoe”). Faksimile rukopisi. Izd. teksta, perevod, predislovie, vvedenie, prilozhenija G. M. Gluskinoj. Kommentarii G. M. Gluskinoj, S. Ya. Lur’e, B. A. Rozenfel’da). Facsimile. (Mĕyaššēr ’Āqōḇ (”Vypryamlyayushchij krivoe”). Faksimile rukopisi. Izd. teksta, perevod, predislovie, vvedenie, prilozhenija G. M. Gluskinoj. Kommentarii G. M. Gluskinoj, S. Ya. Lur’e, B. A. Rozenfel’da.) (Russian. English summary) Zbl 0833.01007 Pamyatniki Pis’mennosti Vostoka. 62. Moskva: Izd. “Nauka”, Glavnaya red. vostochnoj literatury, 265 p. (1983). Reviewer: R.Dimitrić (Berkeley) MSC: 01A35 01A20 01A30 PDF BibTeX XML Cite \textit{Alphonso}, Mĕyaššēr 'Āqōḇ (''Vypryamlyayushchij krivoe''). Faksimile rukopisi. Izd. teksta, perevod, predislovie, vvedenie, prilozhenija G. M. Gluskinoj. Kommentarii G. M. Gluskinoj, S. Ya. Lur'e, B. A. Rozenfel'da (Russian). Facsimile. Moskva: Izd. ''Nauka'', Glavnaya red. vostochnoj literatury (1983; Zbl 0833.01007) OpenURL
Grootendorst, A. W. A known problem solved by an unknown mathematician. (Dutch) Zbl 0505.01009 Euclides 58, 17-28 (1982). MSC: 01A55 PDF BibTeX XML Cite \textit{A. W. Grootendorst}, Euclides 58, 17--28 (1982; Zbl 0505.01009) OpenURL
Hogendijk, Jan P. How trisections of the angle were transmitted from Greek to Islamic geometry. (English) Zbl 0474.01003 Hist. Math. 8, 417-438 (1981). MSC: 01A30 01A20 51-03 PDF BibTeX XML Cite \textit{J. P. Hogendijk}, Hist. Math. 8, 417--438 (1981; Zbl 0474.01003) Full Text: DOI OpenURL
Graef, Edward V.; Harris, V. C. On the solutions of three ancient problems. (English) Zbl 0174.52501 Math. Mag. 42, 28-32 (1969). Reviewer: W. T. Blackburn MSC: 51-XX PDF BibTeX XML Cite \textit{E. V. Graef} and \textit{V. C. Harris}, Math. Mag. 42, 28--32 (1969; Zbl 0174.52501) Full Text: DOI OpenURL
Hullmann, K. Mathematical papers. I. Series. II. The trisection of the angle. III. The [delische] problem. (Mathematische Abhandlungen. I. Die Reihen. II. Die Dreiteilung des Winkels. III. Das delische Problem.) (German) JFM 29.0223.03 München: J. A. Finsterlin Nachf. 52 S. gr. \(8^\circ\) (1898). MSC: 00A05 PDF BibTeX XML OpenURL
Garbieri, G. Trisection of the angle. (Trisezione dell’ angolo.) (Italian) JFM 09.0499.02 Battaglini G. XV, 111-112 (1877). Reviewer: Hoppe, Prof. (Berlin) MSC: 51N20 PDF BibTeX XML Cite \textit{G. Garbieri}, Battaglini G. 15, 111--112 (1877; JFM 09.0499.02) OpenURL
van Leeuwen, J. H. Trisection of an angle. (Verdeeling van den hoek in drie gelijke deelen.) (Dutch) JFM 08.0463.01 Nieuw Arch. II, 177-179 (1876). Reviewer: van Geer, Prof. (Leiden) MSC: 51M15 PDF BibTeX XML Cite \textit{J. H. van Leeuwen}, Nieuw Arch. 2, 177--179 (1876; JFM 08.0463.01) OpenURL
Lucas, E. On the trisection of an angle with the aid of a compass. (De la trisection de l’angle à l’aide du compas.) (French) JFM 08.0344.01 Nouv. Ann. (2) XV. 8-9; N. C. M. II. 14-15 (1876). Reviewer: Orthmann, Dr. (Berlin) MSC: 51M15 PDF BibTeX XML Full Text: EuDML OpenURL
Lucas, E. On angle trisection with the help of a compass. (Om Winkler-Tredeling ved Objelp af Passer.) (Danish) JFM 08.0343.02 Zeuthen Tidsskr. (3) VI, 84-85 (1876). Reviewer: Gram, (Kopenhagen) MSC: 51M15 PDF BibTeX XML Cite \textit{E. Lucas}, Zeuthen Tidsskr. (3) 6, 84--85 (1876; JFM 08.0343.02) OpenURL
Cayley, A. On the expression of the coordinates of a point of a quartic curve as functions of a parameter. (English) JFM 07.0442.03 Proc. L. M. S. VI, 81-83 (1875). Reviewer: Lüroth, Prof. (Carlsruhe) MSC: 14H45 11D25 14M06 PDF BibTeX XML Cite \textit{A. Cayley}, Proc. Lond. Math. Soc. 6, 81--83 (1875; JFM 07.0442.03) Full Text: DOI OpenURL
Lucas, E. De la trisection de l’angle à l’aide du compas. (French) JFM 07.0350.05 C. R. 81, 368-369 (1875). Reviewer: Ohrtmann, Dr. (Berlin) MSC: 51M04 PDF BibTeX XML Cite \textit{E. Lucas}, C. R. Acad. Sci., Paris 81, 368--369 (1875; JFM 07.0350.05) Full Text: Gallica OpenURL
Genese, R. W. Note on a former paper. (English) JFM 04.0251.02 Messenger (2) I. 181 (1871). Reviewer: Glaisher, Prof. (Cambridge) (Ohrtmann, Dr. (Berlin)) MSC: 51M04 PDF BibTeX XML OpenURL
Jouanne Trisection of an angle using Pascal’s spiral. (Trisection de l’angle au moyen du limaçon de Pascal.) (French) JFM 02.0362.02 Nouv. Ann. (2) IX. 40. 1870 (1870). Reviewer: Müller, Felix, Dr. (Berlin) MSC: 51M05 51M15 PDF BibTeX XML Full Text: EuDML OpenURL
Steen, A. A new property of the equal sided hyperbola applied to the trisection of the angle. (En ny egenskab ved den ligesidede hyperbel anvendt til vinklens tredeling.) (Danish) JFM 01.0179.04 Tychsen Tidsskr. IV, 1-6 (1868). Reviewer: Hoppe, Prof. Dr. (Berlin) MSC: 51N20 51M15 PDF BibTeX XML Cite \textit{A. Steen}, Tychsen Tidsskr. (2) 4, 1--6 (1868; JFM 01.0179.04) OpenURL
Broager Trisection of the angle and the inscribed square. (Vinklens Tredeling og den indskrevne Firkant.) (Danish) JFM 01.0179.03 Tychsen Tidsskr. IV, 113-122 (1868). Reviewer: Hoppe, Prof. Dr. (Berlin) MSC: 51N20 51M15 PDF BibTeX XML Cite \textit{Broager}, Tychsen Tidsskr. (2) 4, 113--122 (1868; JFM 01.0179.03) OpenURL