LISTA DE REFERÊNCIAS

 

 

BIBLIOGRAFIA

 

 

 

 

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[An]

Anglin, W. (1994) – Mathematics: A Concise History and Philosophy, Springer-Verlag, New York.

 

 

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Aymes, J. (1988) – Ces Problèmes Qui font Les Mathématiques (La Trisection de L`Angle), Association des Professeurs de Mathématiques de l`Enseignement Public, Paris.

 

 

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Clagett, M. (1991) – “Archimedes”, Biographical Dictionary of Mathematicians: Reference Biographies from The Dictionary of Scientific Biography, Charles Scribner, New York, 1, pp. 85-103.

 

 

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Dannenfeldt, K. (1991) – “Diocles”, Biographical Dictionary of Mathematicians: Reference Biographies from The Dictionary of Scientific Biography, Charles Scribner, New York, 2, pp. 622-623.

 

 

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Dicks, D. (1991) – “Eratosthenes”, Biographical Dictionary of Mathematicians: Reference Biographies from The Dictionary of Scientific Biography, Charles Scribner, New York, 2, pp. 681-686.

 

 

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Dorrie, H. (1965) – 100 Great Problems of Elementary Mathematics: Their History and Solution, Dover, New York.

 

 

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Drachmann, A. (1974?) – “Philo of Byzantium”, Dictionary of Scientific Biography, Charles Scribner, New York, 10, pp. 586-589.

 

 

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Dudley, U. (1983) – “What to do When the Trisector Comes”, Mathematical Intelligencer, Springer-Verlag, New York, 5, pp. 20-25.

 

 

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Dudley, U. (1987) – A Budget of Trisections, Springer-Verlag, New York.

 

 

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Dudley, U. (1992) – Mathematical Cranks, Mathematical Association of America, S.L.

 

 

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Dudley, U. (1994) – The Trisectors, Mathematical Association of America, S.L.

 

 

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Dhombres, J. & Dalmedico, A. & Bkouche, R. (1987) – Mathématiques au Fil des Âges, Gauthier-Villars, Paris.

 

 

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Euclid (Séc. III-IV a.C.) – Elements; em [H2].

 

 

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Eutocius (Séc. VI d.C.) – Commentaire sur le Traité de la Sphère et du Cylindre; em [Ver2].

 

 

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Eves, H. (1997) – Introdução à História da Matemática, Editora da Unicamp, São Paulo.

 

 

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Estrada, M. & , C. & Queiró, J. & Silva, M. & Costa, M. (2000) – História da Matemática, Universidade Aberta, Lisboa.

 

 

[F1]

Fauvel, J. (1987) – Mathematics in the Greek World, Open University Press, Milton Keynes.

 

 

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Fauvel, J. (1987) – The Greek Concept of Proof, Open University Press, Milton Keynes.

 

 

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Fauvel, J. (1987) – The Greek Study of Curves, Open University Press, Milton Keynes.

 

 

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Fauvel, J. & Gray, J. (1987) – History of Mathematics: A Reader, Open University Press, Milton Keynes.

 

 

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Flegg, G. (1975) – Greek Mathematics: Three Problems, Open University Press, Milton Keynes.

 

 

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Fritz, K. (1991) – “Archytas of Tarentum”, Biographical Dictionary of Mathematicians: Reference Biographies from The Dictionary of Scientific Biography, Charles Scribner, New York, 1, pp. 103-105.

 

 

[G]

Gleason, A. (1988) – “Angle Trisection, the Heptagon, and the Triskaidecagon”, American Mathematical Monthly, MAA, Washington, 95, pp. 186-194.

 

 

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Grattan-Guinnes, I. (1994) – Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, Routledge, London.

 

 

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Guimarães, A. (1973) – O Pensamento Matemático na Grécia Antiga. 1ª parte – da Antiguidade Oriental até Zenão de Eleia, Centro Universitário do Porto, Porto.

 

 

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Heath, T. (1912) – The Works of Archimedes, Dover, New York.

 

 

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Heath, T. (1956) – The Thirteen Books of Euclid´s Elements, Dover, New York.

 

 

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Heath, T. (1970) – Mathematics in Aristotle, Clarendon Press, Oxford.

 

 

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Heath, T. (1981) – A History of Greek Mathematics, Dover, New York.

 

 

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Hogendijk, J. (1981) – “How Trisections of the Angle Were Transmited from Greek to Islamic Geometry”, Historia Mathematica, 8, pp. 417-438.

 

 

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Huxley, G. (1991) – “Eudoxus of Cnidus”, Biographical Dictionary of Mathematicians: Reference Biographies from The Dictionary of Scientific Biography, Charles Scribner, New York, 2, pp. 734-736.

 

 

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Katz, V. (1998) – A History of Mathematics: an Introduction, Addison-Wesley, Reading.

 

 

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Klein, F. (1962) – “Famous Problems of Elementary Geometry”, Famous Problems and Other Monographs, Chelsea, New York.

 

 

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Knorr, W. (1993) – The Ancient Tradition of Geometric Problems, Dover, New York.

 

 

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Knorr, W. (1989) – Textual Studies in Ancient and Medieval Geometry, Birkhäuser, Boston.

 

 

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Kostovskii, A. (1961) – Geometrical Constructions Using Compasses Only, Pergamon Press, Oxford.

 

 

[L]

Lassere, F. (1964) – The Birth of Mathematics in the Age of Plato, Hutchinson, London.

 

 

[Ll]

Lloyd, G. (1973) – Greek Science After Aristotle, Norton, New York.

 

 

[Lo]

Lockwood, E. (1978) – A Book of Curves, Cambridge University Press, Cambridge.

 

 

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Loria, G. (1914) – Le Scienze Esatte nell´Antiga Grecia, Hoepli, Milano.

 

 

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Loria, G. (1929) – Histoire des Sciences Mathématiques dans l´Antiquité Hellénique, Gauthier-Villars, Paris.

 

 

[M2]

Mahoney, M. (1968) – “Another Look at Greek Geometrical Analysis”, Archive for History of Exact Sciences, 5, pp. 318-348.

 

 

[Ma]

Martin, G. (1998) – Geometric Constructions, Springer-Verlag, New York.

 

 

[Mas]

Mascheroni, L. (1980) – Geometrie du Compas, Albert Blanchard, Paris.

 

 

[Me]

Meschkowski, H. (1966) - Unsolved and Unsolvable Problems in Geometry, Oliver & Boyd, Edinburg.

 

 

[Mi]

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[N]

Neugebauer, O. (1966) - The Exact Sciences in Antiquity, Dover, New York.

 

 

[P]      

Pappus (Séc. IV d.C.) – La Collection Mathématique; em [Ver3].

 

 

[Pr]     

Proclus de Lycie (Séc. V d.C.) – Les Commentaires Sur le Premier Livre des Éléments d´Euclide; em [Ver1].

 

 

[R]

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Sá, C. (1999) – “A Concóide de Nicomedes”, material da sessão prática “O estudo da Concóide de Nicomedes e do Folium de Descartes, segundo Francisco Gomes Teixeira no Traité Des Courbes Spéciales Remarquables Planes et Gauches”, dinamizada por Maria Fernanda Estrada, Maria Graça Alves e Carlos Correia de Sá, ProfMat99, Portimão.

 

 

[Sa]

Saito, K. (1995) – “Doubling the Cube: A New Interpretation of Its Significance for Early Greek Geometry”, Historia Mathematica, 22, pp. 119-137.

 

 

[Sab]

Sabetai, U. (1975) – “On the Need to Rewrite the History of Greek Mathematics”, Archive for History of Exact Sciences, 15, pp. 67-114.

 

 

[Se1]

Seidenberg, A. (1962) – “The Ritual Origin of Geometry”, Archive for History of Exact Sciences, 1, pp. 488-527.

 

 

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Seidenberg, A. (1966) – “Some Remarks on Nicomedes` Duplication”, Archive for History of Exact Sciences, 3, pp. 97-101.

 

 

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Seidenberg, A. (1991) – “Mascheroni, Lorenzo", Biographical Dictionary of Mathematicians: Reference Biographies from The Dictionary of Scientific Biography, Charles Scribner, New York, 3, pp. 1665-1667.

 

 

[Si]

Silva, J. (2000) – A Matemática na Antiguidade, SPM, Lisboa.

 

 

[SL]

Smith, D & Latham, M. (1954) – The Geometry of Rene Descartes, with a Facsimile of the First Edition, Dover, New York.

 

 

[Sm]

Smith, D. (1958) – History of Mathematics, Dover, New York.

 

 

[Smo]

Smogorzhevskii, A. (1961) – The Ruler in Geometrical Construtuions, Pergamon Press, Oxford.

 

 

[St]

Struik, D. (1997) – História Concisa das Matemáticas, Gradiva, Lisboa.

 

 

[Ste]

Stein, S. (1999) – Archimedes: What Did He Do Besides Cry Eureka?, Mathematical Association of America, S.L.

 

 

[Sw]

Swetz, F. (1994) – Learning Activities from the History of Mathematics, J. Weston Walch, Portland.

 

 

[Sz]

Szabó, A. (1978) – The Beginnings of Greek Mathematics, Reidel, Dordrecht.

 

 

[Sza]

Szabo, M. (1991) – “Sporus of Nicaea”, Biographical Dictionary of Mathematicians: Reference Biographies from The Dictionary of Scientific Biography, Charles Scribner, New York, 4, p. 2311.

 

 

[T1]

Tannery, P. (1887) – La Géométri Greque: Comment son Histoire est Parvenue et ce que Nous en Savons, Gauthier-Villars, Paris.

 

 

[T2]

Tannery, P. (1912) – “Sur les Solutions du Probléme de Délos par Archytas et par Eudoxe”, Mémoires Scientifiques, Édourd Privat, Toulouse, Vol. I, pp. 53-61.

 

 

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Tannery, P. (1912) – “Sur Sporos de Nicee”, Mémoires Scientifiques, Édourd Privat, Toulouse, Vol. I, pp. 178-184.

 

 

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Tannery, P. (1912) – “Por l´Histoire des Lignes et Surfaces Courbes”, Mémoires Scientifiques, Édourd Privat, Toulouse, Vol. II, pp. 1-47.

 

 

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Teixeira, F. (1915) – Obras Sobre Matemática, vol. VII, Imprensa da Universidade de Coimbra, Coimbra.

 

 

[Te2]

Teixeira, F. (1955) – Traté des Courbes Speciales Remarquables Planes et Gauches, Editions Jacques Gabay, Paris.

 

 

[Th1]

Thomas, I. (1991) – “Menaechmus”, Biographical Dictionary of Mathematicians: Reference Biographies from The Dictionary of Scientific Biography, Charles Scribner, New York, 3, pp. 1682-1690.

 

 

[Th2]

Thomas, I. (1991) – “Hippocrates of Chios”, Biographical Dictionary of Mathematicians: Reference Biographies from The Dictionary of Scientific Biography, Charles Scribner, New York, 2, pp. 1083-1091.

 

 

[Th3]

Thomas, I. (1991) – “Pappus of Alexandria”, Biographical Dictionary of Mathematicians: Reference Biographies from The Dictionary of Scientific Biography, Charles Scribner, New York, 4, pp. 1902-1912.

 

 

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Thomas, I. (1991) – “Eutocius of Ascalon”, Biographical Dictionary of Mathematicians: Reference Biographies from The Dictionary of Scientific Biography, Charles Scribner, New York, 2, pp. 753-757.

 

 

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Thomas, I. (1991) – Greek Mathematical Works, Harvard University Press, Cambridge.

 

 

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Thomas, I. (1991) – “Hippias of Elis”, Biographical Dictionary of Mathematicians: Reference Biographies from The Dictionary of Scientific Biography, Charles Scribner, New York, 2, pp. 1078-1083.

 

 

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Toomer, J. (1976) – Diocles: On Burning Mirrors, Springer-Verlag, Berlim.

 

 

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Toomer, J. (1991) – “Apollonius of Perga”, Biographical Dictionary of Mathematicians: Reference Biographies from The Dictionary of Scientific Biography, Charles Scribner, New York, 1, pp. 66-80.

 

 

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Toomer, J. (1991) – “Nicomedes”, Biographical Dictionary of Mathematicians: Reference Biographies from The Dictionary of Scientific Biography, Charles Scribner, New York, 4, pp. 1864-1867.

 

 

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Vasconcelos, F. (1925) – História das Matemáticas na Antiguidade, Aillaud e Bertrand, Lisboa.

 

 

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Ver Eecke, P. (1960) – Les Oeuvres Complétes d´Archimède, Albert Blanchard, Paris.

 

 

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Ver Eecke, P. (1982) – Pappus d´Alexandrie: La Collection Mathématique, Albert Blanchard, Paris.

 

 

[Vi]

Viegas, M. (1998) – “Divisão duma Circunferência em Partes Iguais usando apenas Compasso e Régua não Graduada (Um Problema do Tempo de Euclides que Gauss Colocou nas Mãos de Fermat)”, Actas do ProfMat98, APM, Lisboa.

 

 

[W]

Wantzel, L. (1837) – “Recherches sur les Moyens de Reconnaître si un Problème de Géométrie Peut se Résoudre avec la Règle et le Compas”, Journal de Mathématiques Pures et Appliquées (Liouville), 2, pp. 366-372.

 

 

[Wa1]

van der Waerden, B. L. (1954) Science Awakening, Noordhoff, Groningen.

 

 

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van der Waerden, B. L. (1983) – Geometry and Algebra in Anciente Civilization, Springer-Verlag, New York.

 

 

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Woo, P. (2000) – “Straightedge Constructions, Given a Parabola”, The College Mathematics Journal, 31, pp. 362-372.

 

 

[Y]

Yates, R. (1971) – The Trisection Problem, National Council of Teachers of Mathematics, S.L.

 

 

 

 

 

 

 

INTERNET

 

 

 

 

[Www1]

http://www.britanica.com  Encyclopaedia Britannica On-line.

 

 

[Www2]

http://www-history.mcs.st-and.ac.uk/history  The MacTutor History of Mathematics Archive, John O'Connor's & Edmund Robertson's, University of St. Andrews.

 

 

[Www3]

http://aleph0.clarku.edu/~djoyce/java/elements/elements.html Euclid's Ele-ments On-line, David E. Joyce, Clark University.

 

 

[Www4]

http://www.math.niu.edu/~beachy/abstract_algebra  Abstract Algebra On-line, John Beachy, Northern Illinois University.

 

 

[Www5]

http://xahlee.org/SpecialPlaneCurves_dir/specialPlaneCurves.html A Visual Dictionary of Special Plane Curves, Xah Lee.

 

 

[Www6]

http://www.perseus.tufts.edu  The Perseus Digital Library, Gregory Crane, Tufts Univerity.

 

 

[Www7]

http://mathforum.org/  The Math Forum, A Math Education Community Center on the Internet, Swarthmore College.

 

 

[Www8]

http://www.geom.umn.edu  The Geometry Center, A Mathematics Research and Education Center on the Internet, University of Minnesota.

 

 

[Www9]

http://www.museo.unimo.it/theatrum  Mostra "Theatrum Machinarum" (strumenti per la geometria), Museo Universitario di Storia Naturale e della Strumentazione Scientifica, Università degli studi di Modena e Reggio Emilia.

 

 

 

 

VÍDEO (VHS)

 

 

 

 

[RFG]

Reguant, R. & Freixenet, J. & Garcia, E. (S.D.) – La Duplicación del Cubo en la Grecia Clásica, Universidad Nacional de Educación a Distancia, Madrid.