A newly discovered invention by

Niccolò Tartaglia of Brescia: most use-

ful for every speculative mathe-

matician, bombardierA soldier or officer in charge of artillery., and others, enti-

tled The New Science: divided into five

books: in the first of which is demon-

strated theoretically: the nature and ef-

fects of equally heavy bodiesObjects of the same weight or density.: in

the two contrary motions that can

occur in them: and of their contrary effects.

¶ In the second (geometrically) is proven and demonstrated the quality, similarity, and proportionality of their transits according to the various ways they can be ejected or thrown violently through the air, and similarly of their distances.

¶ In the third is taught a new practice of measuring by sight the heights, hypotenuse distancesThe diagonal distance from the eye of the observer to the target; original: "ypothumissale"., and horizontal distances of visible things, adding also the theory—that is, the reason and cause of such operation.

¶ In the fourth is given the proportion and the order of the increase and decrease that every piece of artillery makes in its shots, by raising or lowering it above the plane of the horizon, and similarly for every mortar; it will also teach the way to find all the said variations, or quantities of shots in every piece of artillery or mortar through the knowledge of a single shot. Also, the manner in which a bombardier should conduct himself will be shown when he desires to batter or to strike any visible place.