Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. -
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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
Cite
Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. - . Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/806933011:0585?run=74