A History of the Conic Sections and Quadric Surfaces . Julian Lowell Coolidge. Oxford, Engl.: Clarendon Press, 1945. Pp. xi + 214. $6.00.

Science ◽  
1946 ◽  
Vol 104 (2699) ◽  
pp. 279-279
Author(s):  
B. J. Walker
Keyword(s):  
Conic Sections ◽  
Quadric Surfaces ◽  
History Of

PER UN ARCHIVIO DELLA CORRISPONDENZA DEGLI SCIENZIATI ITALIANI

Nuncius ◽  
2000 ◽  
Vol 15 (2) ◽  
pp. 681-719
Author(s):  
LUCIANO CARBONE ◽  
FRANCO PALLADINO ◽  
ROMANO GATTO
Keyword(s):  
Nineteenth Century ◽  
Twentieth Century ◽  
Historical Development ◽  
History Of Mathematics ◽  
Mathematical Research ◽  
Conic Sections ◽  
Kingdom Of Naples ◽  
History Of ◽  
Mathematical Sciences ◽  
The University

Abstracttitle SUMMARY /title Federico Amodeo (1859-1946) was a mathematician and a historian of the mathematical sciences. As a mathematician he was "libero docente" at the University of Naples. His interests extended from projective to algebric geometry and his mathematical research was carried out for the most part from the mid-1880s until the end of the nineteenth century. As a historian he was active from the first years of the twentieth century until his death. In this capacity he was interested in mathematics, mathematicians and institutions in the Kingdom of Naples (later the Kingdom of the Two Sicilies, from 1815), and also in the historical development of analytical and projective geometry and the history of conic sections. He held the chair in History of Mathematics in the University of Naples from 1905 until 1910, the year in which the chair was suppressed. Nonetheless he continued to teach this subject as a "libero docente" until 1923. Here we present the list of more than 1.300 writings, constituting his Correspondence, amongst which the letters of Castelnuovo, Pascal, Peano, Segre and Achille Sannia are of particular significance. We also present the complete list of his publications, reconstructed thanks to the consultation of incomplete printed bibliographies and a manuscript list.

scholarly journals Essay on Conic Sections

KÜLÖNBSÉG ◽  
1970 ◽  
Vol 13 (1) ◽  
Author(s):  
Blaise Pascal
Keyword(s):  
History Of Science ◽  
Projective Geometry ◽  
Euclidean Geometry ◽  
Early Age ◽  
Conic Sections ◽  
Finite Form ◽  
Parallel Lines ◽  
History Of

Blaise Pascal’s two papers on mathematics, Essay on Conic Sections and The generation of conic sections, are considered basic texts in the history of projective geometry. The two essays are not only important from the perspective of the history of science but are also significant from the perspective of Pascal’s subsequent thinking. When Pascal interpreted conic sections projectively, he encountered the problem of the mathematical infinite in several places. In projective geometry one needs to presuppose that parallel lines cross each other in the infinite, which is not evident in Euclidean geometry. Also, while generating conic sections projectively, often the picture of a finite form will be infinite, like a parabola or a hyperbola, while they are images of the cone’s base, the circle. Pascal had to handle mathematical paradoxes connected to the infinite at an early age, and he tried to integrate these problems into his work rather than reject them. This attitude to the infinite would characterize his subsequent mathematical and philosophical works.

Al-Qūhī and al-Sijzī on the perfect compass and the continuous drawing of conic sections

2003 ◽  
Vol 13 (1) ◽  
pp. 9-43 ◽  
Author(s):  
Roshdi Rashed
Keyword(s):  
Theory And Practice ◽  
Conic Sections ◽  
History Of ◽  
New Research

From the second half of the 10th century, mathematicians developed a new chapter in the geometry of conic sections, dealing with the theory and practice of their continuous drawing. In this article, we propose to sketch the history of this chapter in the writings of al-Qūhī and al-Sijzī. A hitherto unknown treatise by al-Sijzī - established, translated, and commented - has enabled us better to situate and understand the themes of this new research, and how it eventually approached the problem of the classification of curves in previously unknown terms.

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