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

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

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

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/)

Article Timmermans, Benoît; (2005)
La similitude des figures chez Leibniz: entre géométrie et rhétorique (/isis/citation/CBB000670810/)

Article Knobloch, Eberhard; (2002)
Leibniz's Rigorous Foundation of Infinitesimal Geometry by Means of Riemannian Sums (/isis/citation/CBB000300359/)

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/)

Authors & Contributors
Briend, Jean-Yves
Anglade, Marie
De Risi, Vincenzo
Primbault, Simon Dumas
Xambó Descamps, Sebastián
Warren, Michelle R.
Concepts
Geometry
Mathematics
Conic sections
Calculus
Algebra
Infinitesimals
Time Periods
17th century
18th century
16th century
Places
Netherlands
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