Save

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

In: Early Science and Medicine
Author:
Carla Rita Palmerino
Search for other papers by Carla Rita Palmerino in
Current site
Google Scholar
PubMed
Close
Download Citation Get Permissions

Access options

Get access to the full article by using one of the access options below.

Institutional Login

Log in with Open Athens, Shibboleth, or your institutional credentials

Login via Institution

Purchase

Buy instant access (PDF download and unlimited online access):

$40.00

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.

Content Metrics

All Time Past Year Past 30 Days
Abstract Views 460 61 6
Full Text Views 159 3 0
PDF Views & Downloads 55 8 0