Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. -
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.89.
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The machine reads it as
- Or movins on more llorvr chan A, and aCcOrd
- ins coche same Direction wich ic: PCay, che Sum
- ot the Motions in both Bodies, torrardsche lame
- ParIS, thac is From C towares D, will bC the
- E F express ies NOrion. L et D FF BC suppoSed
- equal tO E F; (0 MalI C IL, Which is che Dit
- ference oF their MOriOn COIArdS CONTTAEY PALES,
- exprels thesum ot the Morions made rorvards (.
- lay then, thac che tame C FI is the Summ OF
- their Morions torards C, 25 vell alcer the Shock
- 25 betore ic: For atier the Shock, suppole the
- Morion oF B ro be chansed, and eO Be nOW tO-
- vards C, and let the Line P Cx reprelene il;
- vheretore che Force impressed upon B atrex the
- Stock, and wrtrich carries ic corards , will BC
- equal to the Sum oF the Motions P F and G F,
- lame a5 betore. L et C D express theMorion ot and consequently be expressed by FG: For in
- A trom C to D; and is B be in Morion 100, char Rishe Line, the Morion L F, torards F
- let P F exprels its Morion the lame ar. Then is destrozed; and the new onc, F. Cr, rowards
- Will che sum ot boch Morions be expressed by
- CD. J FF. Bur becaule Action and Reaction
- are alvays equal, and coraEdS C ONCFAEY PAFES;
- it F C exprels che Morion impressed on B by
- thC SErOnK OF A; DK, equal co ic, muct Cx-
- press che Morion impressed on A by the Scroke
- ot B, wich a concrary Direction trom D TO.
- vards C. Wherefore since DH = FO, CH
- will express the Morion of the BOdY A atter the
- Shock, and F C che Morion OF B; and there
- Fore the Sum oF boch will be C R -]. P C. BUE
- since F C is supposed == IE D, if rou add C H
- and F F tO bOth, F C -) CK must be equal
- EO CD -) F F. Wheretore the Sum oF che
- Motions et Boch is che same aS aF HEIL.
- And HE F C bC equal EO C D, the LOHIIS LL
- Produced. Buc now since che impulsire Force
- in boch Bodies acts equalIr FOrATdS COntrary
- Parrs, iF D R be made equal rO F C, chis MaII
- represene che Force impressed on rhe Body A,
- and carry ic in a contrari Direction eo its Former
- Morion: S0 char if the Linc OF Motion D IX,
- De caken trom the Line CD, there will remain
- CH represemtins the true MOriOn OF A cowards
- C. Burbecause DK = F C, and DFI =FF.
- DR - DFI (1. c. KETI) = F G - F F (1. C.)
- F C: And consequently since R II = F C
- K HI wwill represent the Mocion oF the BOdY B.
- atrer the Shock; but C I represenes che Mocion
- DE A atrer ic: WVheretore C A is the Sum OF
- the Morion in boch Bodies corards .
- IF F C had been equal t0 CD, rhen thC
- and C must be coincident; chac is, C I Will Poines P and C nould be coincident, and the
- be = O, and consequeney che Body A, atter
- che Occurse or Shocle, Will be quite at relt. BUE
- iF F G DC greater chan C D, che Poine IE must
- be found semenhiere berond ortoche Lelsland
- OF C; and che NIOriOn OF A Will become chan-
- sed rorards che contrary Parrs, and the sum ot
- The Morions rorards C Will bc 25 FC =- CR:
- Andbecause FC = CK, add to both F F C L
- and ic WiIl _ at F F - = LC CR, (1. c.
- E C CK = E F DK - CB, (1. c.
- Mocion oF A will be quire destroved, (1. c.) aF
- ter che Shock, A will be perfectiy ac rest, and
- C A Wwill be equal 10 F Cr.
- Burit F C Be Grearer rhan C D, che POInER
- will Fall eo che Lesr Hland of C, and che NO.
- tion oF the Body A wvill bc trom C towards R.
- Buc (because F C = DK, and F F = D FI)
- R II = P C; Wheretore cakins C R Fromboch,
- CHI must be equal tO F C =- C IE; wtrich re-
- prelenes che Sum oF the Morions made rormards
- F F- F CD. From whence ris plain char che che Came Parrs, and cheir Ditterence cowards
- Sum of the Mocions rorards che lame Parrs conrrarr ones atrer the Shock: WVheretore che
- (wtuch in this Case is their Ditterence corvards Sum oE che Morions tomards che lame Parts re-
- contrary ParIS) continue che lame atrer che mains che lame atrer, as betore che Shock.
- Shock as betote.
- Arike 2gaintt one anocher, che sum ot theis
- Morion, atcer chac, will be che lame as belore.
- Our Excellent Mathematician Or. Wal
- lisq in a Letter tothe Famous MIr. OI-
- derbursh Secretary of the ROyalSO-
- ciets, sivesthe follomine Short Account
- of The LaWS OF Motion, NOV. 26.
- 1688. And intimated, that they mere
- made Publicte Fizht Months before, ab
- the Meeting of the Royal Society.
- 1. F any AgenE, 25 A, produce al) L
- 25 E; then an Agent, a5 2 A, will produce an
- EHect, 25 2 F; 3 A, 25 3 L, (9C. ceteris pari-
- bus. Andunirersalls, il m be pur For ThC Expo-
- HEnEOF FhC POIEF, m A, 25 m F.
- Tecthe Body A m
- accordins r0 che Di-
- rection C D, and in its way stritre acainst
- the Body B; Which suppose ro be cicher ac rest,
- CDR. ACcer che lame il will appear, il mans
- Bodies, inorins ich che lame Direction, Mould
- II. Y Tuo Dodies move comards each other mith
- exactlus contrary Directions, the sum of their
- Motions tomards the same Parrs (hich is alt
- one as the Difference of them tomards contrary
- Pares) will continue the same aster st sibik
- is before it.
- Texthe Body A more trom C tormards D, and
- 2. Whecctore il any Loscc, a5 V CWtilea
- e Cona) Leo L. 1 L, ate i F, ceteris paribus; viz. wich che same
- Ceteties.
- tet C D expreis irs Line oF Morion; and letthe Ctands For Vis) move any Weighe, Mals, Ot
- Body B be movine at rhe same time rith a Body, as P; the Force, which is as m V, Mal
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/806933011:0547?run=74