Band 
Volume II.
Seite
33
JPEG-Download
 

Hydraulics.

over twice the Space D K or D ^fame Time : And therefore, since the itances of Jets from D and B are as D .

B C, and the Distance of the Jet fromis equal to twice DP, the Distance of theJet from B will he also equal to twice B C,or K N = 2 B C (LXXV.}

v I SHALL,

PI. XV.Fig. 6.

(LXXV.) i. The Velocity, of tile Fluid spoutingfrom B we have shewn to be as \/ A B, and the Timetakes in going to the horizontal Line will be asV B K, because that would express the Time if it wereto descend to K in the Perpendicular B K, by Annot .

XXVI.. 4. And though it goes not in the Perpendicu-*

Ut, but is projected from B with an Impetus in an ho-rizontal Direction, it will not by that means be anylonger arriving to the horizontal Line, but only go in.adifferent Tract, sfe is evident from what has been saidin Annotation XXIV. Therefore the Ti me of its com-ing to the Ground at N will be as V^B K, that i9jas the Square Root of the Altitude of the Spout B K. ;

2. Now the Spaces which spouting Fluids pass overin an horizontal Direction must be consider’d as uni-form, because it proceeds from a single Impulse ; for aParticle of Water, after it has made its Exit from theOrifice of the Adjutage, is no more affected by thePreffu re or Impulse of the confined Water, and conse*quently its Velocity in the Direction B C will be imi-or, n. But in all uniform Motion the Spaces described abe“ ‘^Rectangle under the Times and Celerities, or asLhre^^C^ ^ ^ - but this Rectangle is' also as the

, 3 - ^ or let there be drawn A C and C K, ’tis evidentthe Triangle ACL is similar to the Triangle B C K, PI. XIX6 the An S les AC K and C B K are right, and Fig.

^ ^ B is common to both ; therefore AC :

C K. B C *. B K. In the fame Manner we Ihew theVoi. II. i> Triangle

1.