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By L. I. Sedov, J. R. M. Radok
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Clagett (1968a, pp. 15 and 25f) discusses both interpretations. 14See Maier 1949, pp. 116ff; 1952, pp. 277 and 314ff; see also Clagett's introduction to Oresme 1968a, pp. 31 and 35. THE MEDIEVAL TRADmON 19 velocity (quantitas velocitatis totalis). When the extensio represents time and not some spatial dimension of the body moved, Oresme interprets the area of the figure to represent the distance traversed. This is possible because of the concept of motion involved. In this case velocitas is conceived according to the Aristotelian definition of velocity as the space traversed in a given time.
A a q Id A S I I~ R ~ m D 2f 3h P 4b c Fig. 5 Descartes' figure (AT X, 76) Thus in the third minimum of motion there will be three forces, namely those of the first, second, and third time minima, and so on. 34J I, 260-265; AT X, 58-61 (in part). F ~ ~ E I~ G ~ ~ I'Z C H B Fig. , the third] moment a space triple the first space is traversed. 30 CONCEPT AND INFERENCE The first important difference between the two is that Beeckrnan completely omits Descartes' dynamical reasoning. " Referring to the geometrical representation, Beeckrnan explicitly identifies the area with space traversed in fall.
Hence the motion of the projectile is explained as follows: the exterior agent (movens) produces both an initial motion of the mobile and an impetus which will inhere in the body and continue to act when the mobile is separated from the agent. These essentials of the impetus theory are subject to very different interpretations about the cases to which the theory may be applied (besides the motion of projectiles) and to the concrete progression of the motion thus produced. We shall not consider these questions here since they lie beyond the scope of our present interest and have been discussed in great detail by Anneliese Maier and others.