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: 0.86.
Original at the GWLB · Page image · Annotations (IIIF) · Download text
The machine reads it as
- Celerits, or chroneh che tame Space in che lame
- Time.
- 3. IF ihe Force in ehe siven Time T, move
- any Weiohe Thro ehe SpaccOr Lenoch L, in che
- Timien Y, ic Mallmore ic chro che spacent.
- a. Voberctore it che Force V, in che Fime T.
- more any Weiohc, as P chrothe Lenschor SpacCL
- the Forcem Vinthie Fimen J, Mall move m P
- chro the Spacen L: And consequentty a5 V T.
- (che Rectanele under the Force and Fime) is 10
- PI che Rcctargle under che Weiohe and Di
- Ranice:: SoismnVF, 1om n P L.
- 3. Sitiee Ehe deBrees dE Celeriry are proporci-
- 10. IF against the Wciohe P, movel by che
- force V, Wich che Ccierury C, anorher neist
- Or Body Mall strike directir, movins che lame
- War, buc wich ercater Celerirs: As suppole che
- Wreiohe mP, vrich che Celeries n C, (Wtich
- theretore will be carried ferward Wirh che Force
- mn V:) Ascer chiis, chex will boch move lor-
- nn
- Ward wich the Celerirs in C.
- For, Y. PC:: mnv. mneC:: V F mnv
- 1 = m n. V.)1
- c0 L m P x bY
- mn P C: nohichis equat
- F -) m1
- onable toche Lenorhsrun ovet inche lame Time. And cheretore che Impetus ot the Precedine
- OF (vtich is che same chin∞) are proportionabie
- Im.
- 10 che Times caten ux in pasins over such Body will be,- ( m PC: and ol che Follo-
- mn
- Leneihs: Therelore ic vill ve, 25 . C:: (ins. - m m P C.
- mL m
- P. n C. Thac i5, ihe deprees os Celeriey 12. H ihe Nciehes or Bodies ace carrieci con-
- villbe in a Ratio compounded directly oF che rrary Wars, cher ill meet, and mucualls Arilie
- Lenschs, and Reciprocally ot the Times.
- 28ainst each orher.
- Suppose ihe Weiphe P, Catried by che Force V,
- 6. Since 25VT. PL :: mnV PtOmnPF, Wich che Ccleries C, towards the righe hand;
- in vill be a5 V. F:: m V. mn PL
- Z, Thacis, IF the Force V be able ro more
- the WeiphtP, accordins to the Celerity C;
- then Will che FOrce m V, move che Came WVci∞HE
- P, in che Celeritr mC; or wich che bare Cele
- rier C, che Weishu mP: Or, in one vord, ir
- Will be able to more any WVeiphe Wich chat Ce.
- lerier, il che Product ot che Weiehe mulciplied
- by che Ccterics, be mPC.
- and the Weighe m P, wich che Cclerier n C
- J Thac is, Cand contequenrir carried by che Force mn V)
- V. PC:: m V. n PC = m P Xby C; or:
- P X by mC.
- 8 And on this depends che ReaIon OF the
- Construction of all manner of Engines and M2
- chines, For Facilitatins oF Mocion, viz. Thac in
- towards che letr hand: Then may che Imperus.
- Direction, and Celeriey ot cach be thus cal-
- culared.
- The Body wrhich mored towards che righe
- hand, it che ocher had been at rest, vould have
- eiven ic che Celerier = C, (by che geh; )
- and consequenls che Impetus, - m C P,
- ot movins to che rietr hand; and poohid hare
- recained EO ir sell che Camie Celerity, aud che
- Impetus; m PC also tovard the righe
- hand. And che orher Body carried torrard che
- Whaterer Proporrion che WVeishe be enerealed, lett hand, would, il che former had been ac rect
- the Celeritr De decreased accordinsly: Fror
- erhence it comes that the Product ot the Celeri-
- es mulciplied by che Weishe, For moving che
- lame Force, is alvays che lame, viz. V. PC.
- DV. m P X = C: That i5, PC.
- have siven ic che Celeriis, m C; and chete.
- Coreche tmperus m P C, romacds che
- lett hand, Dy che same realon; and it vould
- hare recained co irs selt the lame Celerier, and
- 9. IF Mhe Weish P, By he Force V, carried cheretore che Imperus
- accordins eo che Celerits C, Arike direetly 2-
- Fainstthe Weishem P; which, tho suppoled at
- n
- vard ihe lese hanc.
- nn= m PC al(0. 10-
- Wherelore sinee rhe marion mas made boch
- rest, ver is capabse ot beins mored; boch che ways, the Rogregare of the Impetus ofche For-
- Bodies, alter the Aroak, will be carried wirhche mer BodY, Will arise our ol ihie Impetus
- Celeriism C. FOr, BY realon che same
- Forceis impelledromore the greater Dody, che
- Celeriry oF ir will be lessened alter che lame R
- cio, viz. V. PC:: V. m Px=
- += m
- PC. And cheretore the Impetus, (or Product
- oF the Weishemulciplied by che Celerity) oFche
- octer villbe J. 1
- in One, mPC.
- n
- Jn PC coche Riptr, and PCTOcC
- Ies: And cheretore in realier, it will move ci-
- Thex to the righe or sefF, accordins as that Or Tis
- is greater, and by an Imperus, which is the dif-
- Ference bertucen those 2 Impetuss. Thatis, Suv-
- Polins-) ro tienite co che rishchand, and = r0
- ehe letc, che Imperus ill be
- mn
- in PC, wiich i6 equat
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/806933011:0548?run=74