- Project Runeberg -  Om Poncelet's Betydning for Geometrien. Et Bidrag til de moderngeometriske Ideers Udviklingshistorie
(1878) [MARC] [MARC] Author: Elling Holst With: Sophus Lie
Titel og Indhold | Next >>
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OM
PONCELET'S BETYDNING
FOR GEOMETRIEN.

ET BIDRAG TIL DE MODERNGEOMETRISKE IDEERS UDVIKLINGSHISTORIE
AF
ELLING HOLST,
UNIVERSITETS-STIPENDIAT.

UDGIVET SOM UNIVERSITETS-PROGRAM FOR 1STE HALVAAR 1879
VED
SOPHUS LIE.

CHRISTIANIA.
TRYKT HOS A. W. BRØGGER.
1878.


Preface to the electronic edition

This is Project Runeberg's electronic facsimile edition of a Norwegian book from 1878, documenting the influence on modern geometry of French mathematician Jean-Victor Poncelet (1788-1867). The text is written by Elling Holst and the book was published by Sophus Lie, two prominent Norwegian mathematicians. The text is in Norwegian, which in 1878 was very similar to Danish.

The author makes many references to a previous work by Michel Chasles (1793-1880), Aperçu historique sur l'origine et le développement des méthodes en géometrie (1837).

The physical book belongs to and was digitized by the University of Michigan, where it is available as item ACV2565. Project Runeberg copied the scanned images and raw OCR text from there in February 2007, including the Bibliographic record target found on the first image. Page sequence numbers have been kept. The quality of the raw OCR text is poor; apparently the OCR process has not been guided by an appropriate dictionary.

This volume was scanned by the University of Michigan, from where the scanned images were copied to Project Runeberg. We very much appreciate that they have made this possible and want to encourage other digital library projects to follow their example. Read more about Project Runeberg's image sources.


The above contents can be inspected in scanned images: titelside, motto, i, ii, iii

Korrstapel / Proof bar for this volume

Innhold / Table of Contents


Titel og Indhold - titelside, motto, i, ii, iii
Bibliographic Record Target - target
Indledning - ix, x, xi, xii, xiii, xiv, xv, xvi
I. De Gamles Geometri - 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
II. Efter Renaissancen - 14, 15, 16, 17, 18, 19, 20, 21, 22
III. Monge's geometriske Skole - 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33
IV. Poncelet indtill 1822 - 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45
V. „Essai“ og „Traité“ - 46, 47, 48, 49, 50, 51, 52
VI. Kontinuitetsprincipet - 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65
VII. Projektionen - 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79
VIII. De reciproke Polarers Theori og Dualitetsprincipet - 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96
IX. Metriske Egenskabers projektive Natur - 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108
X. Den moderne Geometri efter Poncelet - 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127
Noter og Henvisninger - 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146

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