# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/806933011:0416
# Permalink to this reading: https://leibnizlegible.com/page/806933011:0416?run=74
# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
# Folio - , page id 806933011:0416
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=416
# Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000416.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 97 lines, status machine
# Lines: 97 recognised, mean confidence 0.86
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

II. Y
bie co che excels oE Crarity oF B above A.
D.
SCH O L FV M, by Mr. Diccon
The Momenta OL Fluids preltine upon any
Fund, mas be looked uxon 25 Products; che
Chantiry ot Marcer Deins one oF che Factors char
compose chese Momenca: The orher, che pressin
Velocity, cravitatine Conatus, Or Whacerer else rou
Deale rO call ic; only remember, chac in che fol.
Lorvins Considerarions, L Mall make ule oF the
Norus pressive Velocity, as beins che htrest L can ac
eR OP.. IIL.
Y the Body A (Fiz. 4.) be suppos d Beavier chan 
(an equal porrion os the Fluid in rhich it is im
merged) it gravitates vith tho Lixcess onty of it.
Gravity, above that of B.
Demonstration.
Lexche Cravitr oF BBC = X, and chat OF A. =
-I y, chen chele cro Forces beins direct ly con-
Erary, x and x destroy one anorher, (0 chac A only
gravicares wirty, che craries by wotieh A excecds
D. F. D.
GOROLLAEY.
Fence i is manilest, That of Bodies immersed
in Water, or any ocher Fluid, ve only perceive
the Disserence berween che Wcistus oF the immer.
sed Body, and oF such a Ouanrier oF Water, Or
any orher Fluid, in which che Bodr is immersed.
whichis equal ro ehe Bulk oE chac Body.
PR OP. W.
Al Fluias press upon subjected Bodies, according +o
their Perpendicular Altitude; and not accordins to
their Laticude.
presene chunk ot.
In Vessels havine equal Alritudes, cho difterent
Forms; the Momenta Will be equal Trom Prop. 4
cheretore rheir Ouantirs oF Maiter, and pressive
Velociries, will be reciprocally proportional: So
in che Cxlindrick Vesel BC F F (Fig. 6.) and
che Conical one L. C F, che Momenes beins equal,
the Onarrier OF Mlatrer in che former, will be c0
he Ouanrity oF Mlacrer in the larrer reciprocally, 25
che pressire Velocier oF che whole Fluid in che lar.
Ter, is co thac inthe FOrmer. Bur che Rario oF cheir
Ouantiries oF Macrer, is Knovn From Geomerry
cherelore che Rario ol cheir prestire Velociries vill
be knonntoo.
Ntrich is chus demonttrared.
Water (Fi∞. 5.) chen because che Column B F is
hearier (because longer chan HC;) tis certain,
thac it ehe Vessel Wvas open aE FI, C HI woud ascend
ill such time as rhe Columns B F and C FI, Wvere
in an Equilibrium, or of equal heiphe; buc sceine
he Vesset ax HI is Mur, and consequenely hinders
C IItrom ascendins, the Pressure upards uxon
IL, is equal Difference ot the ruo Columns BF,
and HIC, 1. c. BL. And since all Precture is reci.
3
In hc Vessel L C F, twin be un casie chine 10
procal, i. c. a5 much as Elis pressed upvards by snd che Nomenta oF che Pluid pressine upon hc
The Liquot, l0 lach ic presses the Liquor donn.
sereral Imaginary parallel Funds, 25 C F, LR, C30
vards acaint the Bouom eun l Re- action For che Nomencum oF L. C F, is ro the Momentum
OFLIK: : 25 the Homenrum oF che Cplinde
B CF FcocheMomentum oF the Cylinder OTKH
Buc univerlally, che Momenta oF Cylinders: are aS
their Alcirudes, by che last: Theretore set L CF
bc whac Fisure it will, che Pressure upon a Fund,
aSIK, is ro the Pressure upon a Fund aS C F intnC
Vessel conrinued (O Far:: ASthe AbScisse L a, IS1O
the AbIcisC LO; thac i5, 25 L a cO C O: And iF
C09. dl.
vou suppose ic a Parabolick Vessel, a5 L a g, 10
Lexthere be2 Vesset A L BM HI CD F FuIl OF
beins alvays equal one ro another:) IF e0 this Pres-
sure be added the Craviir oF CHI; thie Presture
uperi ihe Boriom C, will be the lame as il ic had
ehic encire Column B LMucs apon ic.
Lhe lame may be Demonstrare d oF all itie rest
I ris cridene, Thacche Bocourot c renetL
Tull OF. Water.
. D.
N. B. Wehere consider rhC Fund IK
I5 ma.
kins a distinet Vessel, and nor meerly an Imagina
ey one; CocharL IK, andL.
C F, may be conti.
der d as uo diltinet ellels
From. wwhat is said, max be found che proporri
otthe equal Imaginar Corunns; aile comesme
sustains as grear à Prenule, dslle
on oF che prestire Velociries, in che Vessels L C P
P. LK; For we know che Rario oF cheir MOmenta
and the Rario oF cheir Magnicudes; Theretore chat
allo et cheir piecire lelociies, rhe othter l’Abl06O
e