Galileo Galilei and Motion: A Reconstruction of 50 Years of Experiments and Discoveries

By Roberto Vergara Caffarelli

Introduction.- 1. Problems of chronology.- 2. Around 1590: the old sequence of three versions of the De Motu.- a. The pendulum, an exact measure of time.- b. Natural motion (uniform velocity).- c. Early experiments in water.- d. What did Galileo see while he studied motion in water?- e. Bodies that stays atop water, or move in it.- f. The experiment with the 'inverted tumbler'.- g. Measuring adhesion with water.- h. Violent motion (non-uniform velocity).- i. The fundamental theorem of the inclined plane.- k. Some problems concerning the motion on the inclined plane.- l. Primigenial formulation of the principle of inertia.- m. Primigenial formulation of the action-and-reaction principle.- 3. The Mechanics (1592-1609).- 4. 1592-1610: 'Li diciotto anni migliori di tutta la mia eta'' (The best eigtheen years of my life).- 5. 1602 The theorem of the chords and the pendulum isochronism. The letter to Guidobaldo del Monte.- 6. Before 1604: The law on the fall of heavy bodies.- 7. The 107v sheet: the experimental confirmation of the law of motion.- 8. Why 100 arms (=braccia: an Italian unit of measure of that time) in 5 seconds?- 9. Before 1607: the parabolic trajectories.- 10. Before 1610: The velocity acquired in going downwards is proportional to the square of the height.- 11. Before 1610: Throws on the inclined plane without a rectifier.- 12. The time required to descend along inclined planes of equal height and the final velocity theorem.- 13. The confront between two motions: the free fall and the descent along the inclined plane.- 14. Before 1606: experiments on a ship moving with uniform motion.- 15. the laws of motion: Galileo announces them in the 'Dialogo' and presents them in the 'Discorsi'.- 16. Before 1610: The constant-flux chronograph.- 17. Making experiments with the new machine Galilei overcomes the difficulties due to rolling.- 18. The project of Galilei's machine: the vertical plane.- 19. Description of Galilei's machine and of the experiment one canperform with it.- 20. Marin Mersenne, 'the one who wants to upset everything'.- 21. Conclusions.

• Format: Paperback
• Language: English
• ISBN: 3642427308
• ISBN13: 9783642427305
• Release Date: November 2014
• Publisher: Springer
• Length: 298 Pages
• Weight: 0.96 lbs.
• Dimensions: 0.7" x 6.1" x 9.2"