The Geometrization of Motion: Galileo’s Triangle of Speed and its Various Transformations

in Early Science and Medicine
Restricted Access
Get Access to Full Text
Rent on DeepDyve

Have an Access Token?



Enter your access token to activate and access content online.

Please login and go to your personal user account to enter your access token.



Help

Have Institutional Access?



Access content through your institution. Any other coaching guidance?



Connect

This article analyzes Galileo’s mathematization of motion, focusing in particular on his use of geometrical diagrams. It argues that Galileo regarded his diagrams of acceleration not just as a complement to his mathematical demonstrations, but as a powerful heuristic tool. Galileo probably abandoned the wrong assumption of the proportionality between the degree of velocity and the space traversed in accelerated motion when he realized that it was impossible, on the basis of that hypothesis, to build a diagram of the law of fall. The article also shows how Galileo’s discussion of the paradoxes of infinity in the First Day of the Two New Sciences is meant to provide a visual solution to problems linked to the theory of acceleration presented in Day Three of the work. Finally, it explores the reasons why Cavalieri and Gassendi, although endorsing Galileo’s law of free fall, replaced Galileo’s diagrams of acceleration with alternative ones.

The Geometrization of Motion: Galileo’s Triangle of Speed and its Various Transformations

in Early Science and Medicine

Index Card

Content Metrics

Content Metrics

All Time Past Year Past 30 Days
Abstract Views 12 12 7
Full Text Views 2 2 2
PDF Downloads 2 2 2
EPUB Downloads 0 0 0