64

Hydraulics.

Height or Distance, in a small continue^Stream, directed every Way, or to any par

ticulsl

Again, since the Diameter E F is 6,r, the Area of th eCircle E H F G will be E F* X 0,7854 — 29,224; bid29,224— 28,274 — 0,95 of an Inch, the Area of th £annular Surface of Mercury ; wherefore 26 X 95 ^24,7 the cubic Inches of Mercury contained in V 3Inches Altitude of the inner Shell; which as it is M 5than the Area of the Plug 28,274; shews that befof sthe outer Tube MS can descend one Inch, the Watffwill begin to rise to H, near 30 Feet below.

55. Also because the Circumferences of Circles

as their Diameters, and the Diameters of these Shell* .are as 6,1 to 6,36 (Art. 45.) therefore 6,1 : 6, 36 |

0,95 : 0,99 or 1 Inch ; that is, every Inch of Altitud* jin the exterior Shell is 1 cubic Inch, and therefore whe*j jthe Tube M S (in the forcing Stroke) has defcend £(J Jnear 1 Inch, the Water will force up the Valvethe Mercury then' being about 26 Inches high in tl^outer Shell.

56. If the Water be but 30 Feet below the Cisteflh

the Heights of the Mercurial Shells will then be hdhalf as great as before, viz. 13 Inches one above caoth«r; and then 12,35 cubic Inches of the inner Sh ewill equal 13 Altitude, which therefore will rife with sless Descent than £ an Inch of the Tube MS, ininner Shell, and of Ascent in the outer Shell. Ther e 'fore if the Stroke or Descent of the Tube M S be I?Inches, there will be less than a 30th Part of the Stro^lost, or a 30th Part of the Labour bestow’d in pumpif^’And if the Mercury Shells were but half as thickshere supposed, the Part of the Labour lost would hbut of the Whole, which is far less than in al1 'other Pump of this Kind. , 1

57. Since the Area of the Piston XW is 28,27^Inches, therefore every Inch of its Motion raises ^

Parts of a Gallon, or the - -I ?' 7 4 p ar (- s 0 f 3 ^

282 x 17766 1

Hogshead; that is, 28,274) I7766( =628,4 Inches

Mot* 0 ’