Mech anics.

2l5

the Distances increase much faster than the Quantitiesdecrease, the Forces will increase till we come to thehorizontal Bucket F, which is half full of Water jfrom thence it decreases to the Bucket I, where all theWater runs out, as being parallel with the Horizon, orDiameter K M. And hence we fee four Buckets onthe lower descending Quadrant carry no Water, whenthey are inclined to an Angle of 45 Degrees.

29. I shall here subjoin a Specimen of the Computa-tion, supposing the Wheel and Buckets such as in theScheme, and the Quantities of Water, and Distancesof their Centres of Gravity, the same as in the Tablebelow.

Water in

Distancesfrom Momenta of

the Bucket.

the Centre N. each Bucket.

A z= 1,00

X O — 0,00

B - 0,9

X NO — 0,3 — 0,27

C = 0,8

X NP — 0,6 — 0,48

D — 0,7

X NQ_= 0,85 - 0,595

E — 0,6

X NL - 0,95 - 0,57

F — 0,5

X NM = i,oo — 0,5

G — 0,4

X NM — 1,00 — 0,4

H — 0,2

X NL = 0,55 - 0,19

The Total of all the Buckets — 3,005That is, the Momentum of Water in all the Buckets isequal to the Momentum of three Times the Water con-tained in the Bucket A, and hanging at the End of thehorizontal Diameter K M.

30. I shall conclude this Theory of Water-Mills ,with a Description os Dr. Barker % new-invented Mill,of the most simple Structure of any yet made, perform-ing its Effect without any Wheel, Trundle, Cog, orRound ; the Nature of the Machine, and Manner ofits Operation, will be easy to understand from the fol-lowing Account of its several Parts.

31. ABCD is an upright Frame standing on a pro-per Base ; EF is the wider Part of GH an upright hol-low Pipe or Tube, fixed at the Bottom to an horizontalSquare Trunk IK ; which Trunk, together with theTube, is fixed to an upright Spindle or Axis RS, bymeans of a Nut and Screw at S. The lower End of

P 4 ‘the

PI. XIII.Fig- 5-