Original scientific paper
First Version of Getaldić’s Restorations of the Two Apollonius’ Problems Sent to Galileo
Žarko Dadić
Josip Balabanić
Abstract
In the Galileo's legacy there was found Getaldić's solution of two Apollonius' touch problems. Getaldić sent it to Galileo before 1603 or shortly after it.
The solution of those problems, published by Getaldić in 1607 in his scientific work Apollonius Redivivus differs very much from the elder one. Even later Getaldić published the solution of these two problems in his work De Resolutione et Compositione Mathematica in 1630. In the version sent to Galileo the problems were solved in a synthetic way, the method used in his work of 1607. In the work of 1630 he solved them by an algebraical method. If we compare all the three solutions of the first problem, we shall see that the second solution (1607) must have come out under the knowledge of the third one. For the second problem Getaldić knew only three cases in the first version, while in the published work of 1607 he found five cases.
This manuscript enables us to follow the development of Getaldić's solutions of these problems.
Keywords
Marin Getaldić; Galileo Galilei
Hrčak ID:
243227
URI
Publication date:
30.6.1982.
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