Article ID: CBB200348751

Pascal’s mystic hexagram, and a conjectural restoration of his lost treatise on conic sections (2020)

unapi

Through an in-depth analysis of the notes that Leibniz made while reading Pascal’s manuscript treatise on conic sections, we aim to show the real extension of what he called “hexagrammum mysticum”, and to highlight the main results he achieved in this field, as well as proposing plausible proofs of them according to the methods he seems to have developed.

...More
Citation URI
https://data.isiscb.org/isis/citation/CBB200348751/

Similar Citations

Chapter Dijksterhuis, Fokko Jan; (2011)
Moving around the Ellipse. Conic Sections in Leiden, 1620--1660 (/isis/citation/CBB001221243/)

Article Marie Anglade; Jean-Yves Briend; (2019)
Le diamètre et la traversale: dans l’atelier de Girard Desargues (/isis/citation/CBB839877885/)

Book Luigi, Maierù; (2009)
Le sezioni coniche nel Seicento (/isis/citation/CBB001214131/)

Article Jesseph, Douglas M.; (2007)
Descartes, Pascal, and the Epistemology of Mathematics: The Case of the Cycloid (/isis/citation/CBB000830788/)

Article Maronne, Sébastien; (2010)
Pascal versus Descartes on Solution of Geometrical Problems and the Sluse-Pascal Correspondence (/isis/citation/CBB001031516/)

Article M. Rosa Massa-Esteve; (2017)
Mengoli's Mathematical Ideas in Leibniz's Excerpts (/isis/citation/CBB736043920/)

Article Sebastián Xambó Descamps; (2018)
From Leibniz's characteristica geometrica to contemporary Geometric Algebra (/isis/citation/CBB725109115/)

Article Parmentier, Marc; (2001)
Démonstration et infiniment petits dans la Quadratura arithmetica de Leibniz (/isis/citation/CBB000770921/)

Book Glimp, David; Warren, Michelle R.; (2004)
Arts of Calculation: Quantifying Thought in Early Modern Europe (/isis/citation/CBB000771864/)

Book De Risi, Vincenzo; (2007)
Geometry and Monadology: Leibniz's Analysis Situs and Philosophy of Space (/isis/citation/CBB000830164/)

Article Arthur, Richard T. W.; (2013)
Leibniz's Syncategorematic Infinitesimals (/isis/citation/CBB001211764/)

Book Apollonius, ; (2002)
Apollonius's Conics Book IV (/isis/citation/CBB000203100/)

Article Kunkel, Paul; (2007)
The Tangency Problem of Apollonius: Three Looks (/isis/citation/CBB000831564/)

Authors & Contributors
Briend, Jean-Yves
Anglade, Marie
De Risi, Vincenzo
Primbault, Simon Dumas
Xambó Descamps, Sebastián
Warren, Michelle R.
Journals
Archive for History of Exact Sciences
Historia Mathematica
British Society for the History of Mathematics Bulletin
Revue d'Histoire des Sciences
Revue d'Histoire des Mathématiques
Quaderns d'Història de l'Enginyeria
Publishers
Birkhäuser
Rubbettino
Palgrave Macmillan
Librairie Philosophique J. Vrin
Green Lion Press
Concepts
Geometry
Mathematics
Conic sections
Calculus
Algebra
Annotations and marginalia
People
Leibniz, Gottfried Wilhelm von
Pascal, Blaise
Desargues, Girard
Newton, Isaac
Descartes, René
Apollonius, of Perga
Time Periods
17th century
18th century
Ancient
16th century
Places
Netherlands
Greece
Germany
France
Europe
Comments

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment