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101.

it cannot do however to [[strikethrough]] to [[/strikethrough]] a moderate distance, it will fall 10000 foot in 28 seconds, and make 20000 foot horizontally by a swiftness equal to ye swiftness acquinted in 28 seconds, and in one second about 714 foot wch is a swiftness less than that produced by ye gunpowder in ye cannon.  But as there is accessible place of 10000 foot heigh, we cannot see ye effect of these spouts of water, besides that height of 10000 foot would give thrô a hole of a foot 64512 inches near which would make a river too considerable to be upon so great a height.

  Wee must therefore believe that ye greatest spouts ought not to go to 300 foot:  be about 6 inches diameter and ye conduit ought to be 20 inches large, and it would give 16128 inches, wch is also a too great quantity of water, and so it must be reduced to 100 foot heigh and to 12 or 15 lines of passage:  for [[strikethrough]] thô [[/strikethrough]] thô it should go 150 foot, it would appear very little heigher to ye sight when we should be at 20 foot distance.

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      DISCOURS II
  
Height of oblique spouts and of their amplitudes.

[[image:  graph with dotted and solid linen arc A B C from bottom left C to top right A, X axis D F N, Y axis C D; dotted line from the arc L to K; dotted line from arc B O to M; dotted line form arc to I; vertical line from F to H; vertical line from O to G; vertical line from the ard to E.]]

The spouts wch spout horizontally or obliquely as in ye figure following describe a crooked line wch is a paraøla or semiparabola whereof Torricellius hath given ye demonstration after Galileus:  But we must abstract ye resistance of ye air, yet if ye spouts are weak ye crooked line shall be sensibly parabolic because that ye air resists a small swiftness and that ye acceleration of ye swiftness of wch fall, or ye diminution of that which spouts is made sensibly according to odd numbers.  And also in ye moderate swiftness of ye spouts, their curve approaches very near a parabola, because that if on one side ye horizontal direction is retarded a little and doth not go with an uniform motion, so ye acceleration doth not go at ye end of ye fall according to odd numbers, but it is retarded by ye resistance of ye air as is explained above, and so one of these faults recompenses ye other as is seen in this figure, where the true parabola is ABC, if in 3 equal small intervals of time ye thing moved runs horizontally ye 3 equal spaces A E, E G, G D, and that it runs in descending A G [[see notes as to possible trancribing errors]] in ye first time, G M which contains 3 times A G in ye second, and at ye 3d M N wch contains 5 times A G.  But if ye shoc of ye air makes ye thing moved go but to H instead of going to D in these three times, also ye shoc of ye air will hinder it to descend in ye same time to N, and it will go but to K and drawing ye paralel K L wch shall cut H F in L a little within ye curve A B C  ye curve line A O L wch shall be described by that motion retarded in proportion (though not strictly true) shall be also another parabola inferior to ye first A B C, from this property of body wch move in ye air we deduce ye following problem.

Transcription Notes:
mandc: Reviewed, revised image desctription. I believe there is an error in the ms where the translator says "in descending A G in ye first time, G M... A G... A G...." should read "in descending A I in ye first time... I M... I G... I( G,...", " as it is recorded in the Desaguliers translation. The I's and J's are very similar and I believe the scribe misinterpreted them. See the Desaguliers translation: http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/QERNH1MN/pageimg&pn=262&mode=imagepath Image: http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/QERNH1MN/pageimg&viewMode=images&mode=imagepath&pn=283&ww=0.1355&wh=0.2179&wx=0.4688&wy=0.2384