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# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
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For Instance, in Fiz. 2. in chetime Wherein a ) Ending che Tangene, which generally determines
Project vouid more from G rOL, it descends
ErOM L EOX: And BV The Third Proposition, haS
acquired a Velocier, wrhich in thar time vould
have cartied ic by an unequal Norion FrOm L. EO
Q Orevice the DescentLX: And draving che
Line GZ, I Cay che Velocies in che Poinc X,
compounded ot che Velocities CL, and V. L,
the Angle bectex chan its Sine, Lthoughie my sels
obligcdro Print it For ihe use oF all Such a5 desire
co be informed in che Machemasieul Paut, ot chc
AEE OF CunnCeY.
No chese Rules ivere rigidy erue, vere ic
noc, as l Caid before, For che Oppotition oE ihe
Medium, Whereby noc onty che direct imprest
under ihe Ansle CPZ, is toche Velociry im- Mocion is concinually rerarded, Dur likemise the
prest in che Point C a5 Z isto G L 0 This increase OF the VelocirY OE the FalI, (O LHaE EhC
Follots from the Sécond Axiome; and by che Spaces described thereby, are not exactiY 25 che
2och and 2Ts Prop. lib. Y. Con. Mydorsii, I O) Squares ot therimes: Buc what chis Opposicion
parallel and egua tro C Z, Mall couch che Para- otthe Air is, against sereral Velociries, Bulks.
bola in the Point X. 50 That the Velociries in
che fererat Points, as are the Lenoths oF che
langenes co the Parabola in those Points, inter-
and WVeiohis, is noc so casie ro determine.
Cio
cerrain chac ihe Wejohi oC Air, cochac OF N2
ter, I5 nearty 25 + 20 800, Whence che Weietic
cepred becmeen any cvo Diamerers: And these Thereot, to thac of anr Project is siven; tis ve
again are 25 the Secants ofF the Angles, wrhich
chose Pansens concinued, make with the Llori-
Zontet Line CB.
From Wvhar is heré laid donn, mazthe com-
pararire force oF a Shor in any evo Points OEthe
Curre, be cirher Ccoierrically or Arichmerical-
lx discovered.
ac
B.
rr sitelr, char co che lame Velocier and Magni
cude buc oE differere Macrer, ihie Opposition
Mould be reciprocally a5 the Weishes oF ihc
Shoc; a5 litewise char to Shor oF the same Ve
locir and Macrer, bur oF disterent Sires, id
Bould beasche Diameters reciprocally: Whence
Rion relatins lo floscclo, oea os ie es et
them mas noc casils besolved; and cho ic be
true char most of them are ro be mex wichal, I
Calileus, Torricilius, and ochers, Wvtro have ta-
Hen ehem from those Authors; vec their BOOIES
beins Foreion, and noc casie ro come bY, and
Velocier, buc ot ditterent Diamerers, and Mace.
rials, Mould be as cheir Specitick Cravities into
Opposition, ro disserine Velocities oF che Came
Shior, bc a5 chic Squares oF those Velociries, or
25 the Velocities themselres, or orhervile, 15
vet a harder Ouestion. Llovereritbe, tiscer
cain, chac in larse Shor oF Meccal, Whole Weistu
mans chouland rimes surpasses char ot che AIT.
and vhose Force is very great, in proporrion r
the Surtace Wheremich ther prels chercon; chis
ie noc amiss ro sire the Wrhole Doctrine here in
oin, as mighe be sufficient co evince cheir
generally rhe Opposicion ro Shor wich chelame
cheir Diamerers reciprocallr; but prherher che
cheir Demonstrations lons and disficule, lThoughe
Enslis, wich such Morc Analyrical ProoFot my
Cxu.
Oppoticion is scarce discernable: For by sereral
Experimenes made ich al care and circumspe-
ction wich a Morrar- piece extraordinary wel
sXC CO chie Parth on purpose, wtich carried a (0.
lid Brals Shor OF 4: Inches Diameter, and ot
about La Pounds Weighe, che Ranges above and
belor 45 Desrees vere found neariy equal; il
chere vere any difference, che ider Ranges Wvene
Father che Furchest, but chole Ditterences avere
ulually less chan che Errors commicted in ordina-
ry practice, br che unequal Goodnels and Dri-
ness oF che Came sort oF Poder, by che VIntir
nets ot che Shor roche Bore, and hy che 100le
nels oF che Carriase.
In a smaller Brass Shor oF about an Trich, and
aIF Diameter, Cast BY 2 Cro(S- BoW Wwhich ran
Sed ir, ac most abour 400 Foor, the Force beine
uch more equal chan in che Morrar- peice, this
Ditterence vere Found more curiousr, and con-
Out Wvene che upper.
From Which Prials L conclude, Thec alcho in
sinall and liehe Strir, the Opposition oF the AIt
Sushe and must be accounred Fot; ver in Shoor
ins ot sreat and weisher Bombs, chere necd be
Rules may b3 pur in practice ro all Intenes anct
C.
FrOm heHCC iE POIIONS, That the ForceO)
Sbot 25 al2da auso at U, or ibe Vertes
ihe Farabola, and that at equat Distance
theresrom, as at  and Z, C and B, it.
tiord is alivays equal; and tbat ibe least
Force in Un 2 ea that in C and. B, as RadB
as 1othe Secant osthe Anole of  levation
Lnele Fropotons considered, chere is no que
The Tench Propolition contains a Problem
untouch d B) Lorricellius, wtrich is oF the grea-
relt ule in bunters; and for che lale oE whict,
his Discourle Was Pielpalls incended: Ic was) Mancly, and most eridentiy, che under Ranse
Airst Solred bY Mr. Anderson, in his B0ok ot The
Genuinese and lffects of the Cun, Princed in
the Zear 1674; bur his Solurion required (0
mue Calculation, char ic pur me upon scarct,
Whecher ir mishnorbe done moresealilrd And
cherclpon in che Pear 1678, I tound, our che verr licele or no Allorvance made; and (o rhese
Ree lno publim; and from ic the Greomerri
al Construction: Since which rime chere has aPurpoles, as it rhis Impedimeur ivere ablolurels
al Frearise ot chis Subject, Enciculed, P’Art removed.
de jetter les Bombes, been publishedin France by
Monsieux Blondel, Wherein he siresche Solurions
oF chis Problem by Messieurs Bout, Romer, and
De la Ftire; bue none of them beins che lame
with. mine, or in my Opinion more casic, and course, viz.
Numb. 261. Lhe lame LXCeIenE GEOEFTICIAM
purtues chis Macier Further in che Followine
Then atcer chis in Philosophicat Transactions,
mott oe chemmore Operole; and bebdeo mine