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Viète’s and Ghetaldi’s Apollonian reconstructions. (Italian) Zbl 0615.01004

In this paper the authors examine in a technically clear way and by proper critical sense Viète’s and Ghetaldi’s Apollonian reconstructions. The authors point out the rôle that these reconstructions had to rationalize and to systematize the methods of solution of geometrical problems. First the authors study the problems that concern the “geometry of the contacts” in Viète, Ghetaldi and Torricelli. The problems inherent the “inclinations” are analogously examined. The third paragraph is dedicated to problems that “sub algebram non cadunt”. The work is concluded by some remarks on the successive developments (Girard, Descartes, Huygens).
Reviewer: P.Freguglia

MSC:

01A40 History of mathematics in the 15th and 16th centuries, Renaissance
01A45 History of mathematics in the 17th century
51-03 History of geometry

Biographic References:

Viète, F.; Ghetaldi, M.
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