Un cours inédit de Chasles en Sorbonne ‘Considérations sur la théorie des sections coniques’, Discours d'ouverture du cours de géométrie supérieure (1847-1848)

Nicolas Michel; Ivahn Smadja

doi:10.24033/rhm.235

Un cours inédit de Chasles en Sorbonne ‘Considérations sur la théorie des sections coniques’, Discours d'ouverture du cours de géométrie supérieure (1847-1848)

Translated title of the contribution: A previously unpublished lecture by Chasles at the Sorbonne, 'Considerations on the theory of conic sections', opening lecture of the course on higher geometry (1847-1848)

Nicolas Michel, Ivahn Smadja

Université de Nantes

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We present an annotated transcription of an unpublished lecture given by the French geometer Michel Chasles (1793-1880), obtained from a manuscript preserved at the archives of the Académie des sciences. This was the opening lecture for the course of higher geometry for the academic year 1847-1848. This year’s teaching dealt with the theory of conic sections. In this lecture, Chasles presents a history of the methods used in the study of conic sections, and justifies his choice in his teaching to go back to the « Method of the Ancients », which he viewed necessary to form a fully general and purely geometrical theory of these curves.

Translated title of the contribution	A previously unpublished lecture by Chasles at the Sorbonne, 'Considerations on the theory of conic sections', opening lecture of the course on higher geometry (1847-1848)
Original language	French
Pages (from-to)	229-296
Journal	Revue d'Histoire des Mathematiques
Volume	27
DOIs	https://doi.org/10.24033/rhm.235
Publication status	Published - 2021

Keywords

History of geometry
Conic sections
Chasles
Unpublished manuscript

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10.24033/rhm.235

MICHEL_SMADJAFinal published version, 9.65 MBLicence: Taverne

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title = "Un cours in{\'e}dit de Chasles en Sorbonne {\textquoteleft}Consid{\'e}rations sur la th{\'e}orie des sections coniques{\textquoteright}, Discours d'ouverture du cours de g{\'e}om{\'e}trie sup{\'e}rieure (1847-1848)",

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keywords = "History of geometry, Conic sections, Chasles, Unpublished manuscript",

author = "Nicolas Michel and Ivahn Smadja",

year = "2021",

doi = "10.24033/rhm.235",

language = "French",

volume = "27",

pages = "229--296",

journal = "Revue d'Histoire des Mathematiques",

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AU - Smadja, Ivahn

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N2 - We present an annotated transcription of an unpublished lecture given by the French geometer Michel Chasles (1793-1880), obtained from a manuscript preserved at the archives of the Académie des sciences. This was the opening lecture for the course of higher geometry for the academic year 1847-1848. This year’s teaching dealt with the theory of conic sections. In this lecture, Chasles presents a history of the methods used in the study of conic sections, and justifies his choice in his teaching to go back to the « Method of the Ancients », which he viewed necessary to form a fully general and purely geometrical theory of these curves.

AB - We present an annotated transcription of an unpublished lecture given by the French geometer Michel Chasles (1793-1880), obtained from a manuscript preserved at the archives of the Académie des sciences. This was the opening lecture for the course of higher geometry for the academic year 1847-1848. This year’s teaching dealt with the theory of conic sections. In this lecture, Chasles presents a history of the methods used in the study of conic sections, and justifies his choice in his teaching to go back to the « Method of the Ancients », which he viewed necessary to form a fully general and purely geometrical theory of these curves.

KW - History of geometry

KW - Conic sections

KW - Chasles

KW - Unpublished manuscript

U2 - 10.24033/rhm.235

DO - 10.24033/rhm.235

M3 - Article

SN - 1262-022X

VL - 27

SP - 229

EP - 296

JO - Revue d'Histoire des Mathematiques

JF - Revue d'Histoire des Mathematiques

ER -

Un cours inédit de Chasles en Sorbonne ‘Considérations sur la théorie des sections coniques’, Discours d'ouverture du cours de géométrie supérieure (1847-1848)

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