Page:The Mathematical Principles of Natural Philosophy - 1729 - Volume 2.djvu/11

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OF THE

MOTION

OF

BODIES



BOOK II.




Section I.

Of the Motion of Bodies that are reſiſted in the ratio of the Velocity.



Proposition I. Theorem I.

If a body is reſiſted in the ratio of its velocity, the motion loſt by reſiſtance is as the ſpace gone over its motion.

FOR ſince the motion loſt in each equal particle of time is as the velocity, that is, as the particle of ſpace gone over; then, then by compoſition, the motion loſt in the whole time will be as the whole ſpace gone over. Q.E.D.

Vol. II.
B
Cor.