CHAPTER ONE

...a body arrives from one place to another. For because it must pass through individual intermediate locations, this cannot be consistent with instantaneous original: "instantaneo." The author argues that because an object must occupy every point between A and B, it cannot teleport. motion.

Corollary 2.

15. Therefore, a path can also be assigned through which the body has passed; and once this path is known, there will be no point upon it that the body, in progressing from the first location to the last, has not touched. Moreover, this path is usually called the distance traveled spatium percursum: literally "the space run through"; the total length of the path taken by an object..

Scholion A "scholion" is an explanatory note or commentary used in classical and early modern scientific texts to provide further context for a theorem or definition..

16. It is also easy to adapt these points to bodies rotated around an axis. For although the body itself meaning the object as a whole unit does not change its position, motion is nevertheless present in its parts; this will be recognized if the individual parts are considered separately as so many different bodies. For each part will be found to change its position with respect to infinite space, and none will be at rest except those situated on the axis itself. In a similar way, all bodies ought to be contemplated so that not only the position of the whole itself, but also the position and change of the individual parts, may be inspected.

DEFINITION 4.

17. A body is said to move equably or uniformly when it travels through equal distances in equal times. On the other hand, non-uniform original: "inaequabilis" motion is that which occurs through unequal distances in equal times, or which completes equal distances in unequal intervals of time.