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nydus/Miscellanea Curiosa, Vol. 1Public
Page 378 of 441
Table of Contents

Miscellanea Curiosa.

equally increasing; as is known, and commonly

  1. If we take in the Consideration of the Air's Resistance; we are then, for each of these equal Progressions, to substitute a decreasing Progression Geometrical; in like manner (and for the same Reasons) as in the Line of Projection.
  1. Hence ariseth, for the first Moment 1m; for the second 1m + 1m2; for the third 1m + 1m2 + 1m3, &c.[17] And such is therefore the Descent of a heavy Body falling by its own weight. The several Impulses of Gravity being supposed equal.
  1. That is (in the Figure of ¶ 12) as FL, FM, FN, &c. in the Line of Descent, answering to FL, LM, MN, &c. in the Line of Projection.

But though the Progressions for the Line of Projection, are like to each of those many in the Line of Descent; it is not to be thence inferred,

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