Article ID: CBB607468098

Galileo Galilei and the centers of gravity of solids: a reconstruction based on a newly discovered version of the conical frustum contained in manuscript UCLA 170/624 (2022)

unapi

The manuscript UCLA 170/624 (ff. 75–76) contains Galileo’s proof of the center of gravity of the frustum of a cone, which was ultimately published as Theoremata circa centrum gravitatis solidorum in Discorsi e dimostrazioni matematiche intorno a due nuove scienze (Leiden 1638). The UCLA copy opens the possibility of giving a fuller account of Theoremata dating and development, and it can shed light on the origins of this research by the young Galileo. A comparison of the UCLA manuscript with the other extant copies is carried out to propose a new dating for the composition of the Theoremata. This dating will then be reconsidered in light of the mathematical content. The paper ends with a complete description of the content of the UCLA manuscript and the edition of Galileo’s text there contained.

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Authors & Contributors
Stedall, Jacqueline Anne
Settle, Thomas B.
Pavel Sládek
Frank, Martin
Rutkin, H. Darrell
Roux, Sophie
Concepts
Mathematics
Physics
Mechanics
Cosmology
Geometry
Primary literature (historical sources)
Time Periods
16th century
17th century
Early modern
Renaissance
Medieval
18th century
Places
Italy
Europe
Pisa (Italy)
England
Scotland
Netherlands
Institutions
Jesuits (Society of Jesus)
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