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nydus/Miscellanea Curiosa, Vol. 1Public
Page 381 of 441
Table of Contents

Miscellanea Curiosa.

, MN , &c. that is as 1 ⁄ m f , &c. be fitted Ordinates (at a given Angle) whose Increments are as FL , FM , FN , &c. that is, as 1 ⁄ m g , &c. The Curve answering to the Compound of these Motions, is that wherein the Project is to move.

  1. This Curve (being hitherto without a Name) may be call'd Linea Projectorum; the Line of Projects, or things projected; which resembles a Parabola deform'd.
  1. The Celerity and Tendency, as to each Point of this Line, is determined by a Tangent at that Point.
  1. And that against which it makes the greatest Stroke or Percussion, is that which (at that Point) is at right Angles to that Tangent.

If the Projection (at ¶ 27) be not infinitely continued, but terminate (suppose) at N , so that the last Term in the first Column or Series erect be a ; and consequently in the second, ma ; in the third, mma , &c. (each

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