Tartaglia Philosophy of Motion

Tartaglia Philosophy of Motion
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The given image is the cover page of the magnum opus of Tartaglia: Nova Scientia or New Science. In this book, he tried to determine the nature of the motion of a cannonball fired from a cannon. The title page is an illustration of its contradictory or revolutionary view about the projectile motion of the cannonball, which negated Aristotle's concept of projectile motion. The Aristotelian theory claimed that a projectile motion is based on the mixture of a natural and violent motion. This purely philosophical view was contradicted by Tartaglia, who claimed that a projectile motion follows a curved path. Many of his observations endorsed his assumptions about the projectile motion of the cannonball. Two of such observations will be discussed here concerning this cover page. 
Quote 1 
"I found that there are two such motions, the natural and the violent, and I found these to be totally contrary... I also found, by reasons evident to the intellect, that it is impossible for a heavy body to move the natural motion and violent motion mixed together."
As revealed by the above quote, the picture shows the projectile motion of a cannonball fired from a cannon towards the hill in a curved pathway with the same kind of violent motion, negating the possibility of the existence of two motions: a violent motion, followed by a natural vertical motion as cl...