Dialogues concerning Two New Sciences

By Galileo Galilei; Henry Crew et al. | Go to book overview

FOURTH DAY

ALVIATI. Once more, Simplicio is here on time; so let us without delay take up the question of motion. The text of our Author is as follows:


THE MOTION OF PROJECTILES

In the preceding pages we have discussed the properties of uniform motion and of motion naturally accelerated along planes of all inclinations. I now propose to set forth those properties which belong to a body whose motion is compounded of two other motions, namely, one uniform and one naturally accelerated; these properties, well worth knowing, I propose to demonstrate in a rigid manner. This is the kind of motion seen in a moving projectile; its origin I conceive to be as follows:

Imagine any particle projected along a horizontal plane without fraction; then we know, from what has been more fully explained in the preceding pages, that this particle will move along this same plane with a motion which is uniform and perpetual, provided the plane has no limits. But if the plane is limited and elevated, then the moving particle, which we imagine to be a heavy one, will on passing over the edge of the plane acquire, in addition to its previous uniform and perpetual motion, a downward propensity due to its own weight; so that the resulting motion which I call projection [projectio], is compounded of one which is uniform and horizontal and of another which is vertical and naturally accelerated. We now proceed to demonstrate

-244-

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Dialogues concerning Two New Sciences
Table of contents

Table of contents

  • Title Page ii
  • Translators' Preface v
  • Introduction ix
  • [43] - To the Most Illustrious Lord Count of Noailles xvii
  • The Publisher to the Reader xix
  • Table of Contents *
  • First Day 1
  • Second Day 109
  • Third Day 153
  • Fourth Day 244
  • Appendix 295
  • Index 297
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