Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Andrea Del Centina"'
Publikováno v:
Le Matematiche, Vol 48, Iss 1, Pp 101-107 (1993)
We study smooth projective varieties X ⊆ PN of dimension n ≥ 3, such that for some linear (N-n+1)-dimensional space Π ⊆ PN, C=X∩Π is either a bielliptic or a trigonal curve. We give a description of X when deg ≥ 18 and when deg X ≤ 8.
Externí odkaz:
https://doaj.org/article/314a9e26fc324314a3480ba8d80a01ec
Autor:
Andrea Del Centina
Publikováno v:
Archive for History of Exact Sciences. 76:573-622
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9694deb80d861df0ccbd917cc8f2fb6a
https://doi.org/10.1007/s00407-022-00296-5
https://doi.org/10.1007/s00407-022-00296-5
Autor:
Andrea Del Centina
Publikováno v:
Archive for History of Exact Sciences. 76:363-390
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5444e35fd9c331d2e6bfcacd2079fee8
https://doi.org/10.1007/s00407-022-00286-7
https://doi.org/10.1007/s00407-022-00286-7
Autor:
Alessandra Fiocca, Andrea Del Centina
Publikováno v:
Historia Mathematica. 56:6-39
This paper is a historical account of the chords theorem, for conic sections from Apollonius to Boscovich. We comment the most significant proofs and applications, focusing on Newton's solution of the Pappus four lines problem. Newton's geometrical a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::473a0d8adee63a334ac05ebe2e972631
https://doi.org/10.1016/j.hm.2021.03.002
https://doi.org/10.1016/j.hm.2021.03.002
Autor:
Andrea Del Centina
Publikováno v:
Archive for History of Exact Sciences. 76:45-128
In this paper we discuss in some depth the main theorems pertaining to Carnot’s theory of transversals, their initial reception by Servois, and the applications that Brianchon made of them to the theory of conic sections. The contributions of these
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::24adc382279d67c89549cb8cd3bc97e0
https://doi.org/10.1007/s00407-021-00276-1
https://doi.org/10.1007/s00407-021-00276-1
Autor:
Andrea Del Centina
Publikováno v:
Archive for History of Exact Sciences. 74:469-521
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d8d44b4855f5b91374d196b1197f6887
https://doi.org/10.1007/s00407-020-00251-2
https://doi.org/10.1007/s00407-020-00251-2
Autor:
Alessandra Fiocca, Andrea Del Centina
Publikováno v:
Archive for History of Exact Sciences. 74:255-279
To solve the direct problem of central forces when the trajectory is an ellipse and the force is directed to its centre, Newton made use of the famous Lemma 12 (Principia, I, sect. II) that was later recognized equivalent to proposition 31 of book VI
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca79902e2235361f7340fab77a0630e8
https://doi.org/10.1007/s00407-019-00244-w
https://doi.org/10.1007/s00407-019-00244-w
Autor:
Alessandra Fiocca, Andrea Del Centina
Publikováno v:
In Foreign Lands: The Migration of Scientists for Political or Economic Reasons ISBN: 9783030802486
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::acbd08378b438d6aff0bf46a7dac794e
https://doi.org/10.1007/978-3-030-80249-3_8
https://doi.org/10.1007/978-3-030-80249-3_8
Autor:
Andrea Del Centina, Alessandra Fiocca
Publikováno v:
Archive for History of Exact Sciences. 72:453-495
In this paper, we describe the genesis of Boscovich’s Sectionum Conicarum Elementa and discuss the motivations which led him to write this work. Moreover, by analysing the structure of this treatise in some depth, we show how he developed the compl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ebddd392bfc81fecfd0ab2de29479a6
https://doi.org/10.1007/s00407-018-0213-3
https://doi.org/10.1007/s00407-018-0213-3
Autor:
Alessandra Fiocca, Andrea Del Centina
Publikováno v:
Historia Mathematica. 45:131-175
In this paper we give a detailed account of Boscovich's geometrical principle of continuity. We also compare his ideas with those of his forerunners and successors, in order to cast some light on his possible sources of inspiration and to underline t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2faae32f898e4ea46ebacaa95acbf02b
https://doi.org/10.1016/j.hm.2018.02.002
https://doi.org/10.1016/j.hm.2018.02.002