Galileo Galilei and Motion

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

From the reviews:

"The book is remarkable: In it, Caffarelli, proceeding chronologically, plausibly re-creates and expounds on the sequence of experimental studies that led Galileo to discover the law of falling bodies. ... book contains interesting pictures of Caffarelli's reconstructed floating-body apparatuses and duplications of Galileo's inclined planes, which, in Caffarelli's view, eventually led Galileo to formulate his epoch-making theories of motion." (Paolo Palmieri, Physics Today, November, 2010)

"The book presents a well-described example of the human progress due to transformation the knowledge about physical motion from daily observation and 'logical reasoning' to measurement and calculation. A piece of investigation of great value to anyone who is not indifferent to the problem of origins and becoming of modern theory of motion. The book may be also helpful for lecturing in the fields of mechanics and mathematics."­­­ (Vladimir Evgenievich Puzyrev, Zentralblatt MATH, Vol. 1196, 2010)