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: 0.88.
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The machine reads it as
- And rhe Celerity will be
- C, (anc 10
- vardls che rietu or sesc hand, accordins a5 l O
- m n is he frCaTCF CuantieY.)
- And in like maritiet the Impetus oF che ortier
- Body, vohich srA morec romards ihe lesi hanc,
- vill be,m meC, m m P C = 10
- n
- mP C. And che Cdlerics wilt be
- C, and ehe Direction ro ihe rietut or
- tesE tand, accordins 25 F, or m n, i8 chE et ea
- tex Ouanties.
- F2. But L he Bodies nelner more on in the
- Mr. Toun Keilus late of Baliol Collere in
- Oron, in his Booecalled, Tneroduetio
- ad veram Phivsicam, eives the fol-
- lovine l’heoreme about ihe Ouantity os
- Mocion, aud ihe Spaces passed over br
- ihe Movins Body; and which he there
- Plainly aemonstrates.
- P. In Comparitie the MorionS oF Bodies, il che
- Ouantier oF Matrer bC the same, the MOments,
- Ox Ouancities ot Rorion, ill alvazs be 25 che
- Velocities, and vice versa, il the Moments are
- a5 che Velociries, che Quancits oF Matter in ehe
- Tame Way directIr, nor directly contrary 10 one Morins Bodies, isalvars the lame.
- another, buc do eneounter one anocher Oblique
- ly; chen cheprecedins Calculus must be mode-
- 2. H che Celeriries are equal, che MOMeMS,
- raccd, accorcins re ehe meature ot chat Obiqui- or Ouantiries oF Motion will De as che Ouanti-
- es: And che Impecus of che Body Rrikins Cb- ries ot Macter; or it che Morins Bodies aretlo-
- liguelr, is co che Impetiis it vould hare lad, it mogeneous, as cheix Maenicudes.
- ie had sone directls:: 25 the Radius 1o che SC-
- canc ot the Anele oF che Obliquier.
- hich Consideracion dul appiied co che FOE
- mer Calculus, Wvill decermine rirhr wrtac Impe-
- FuS, Celerier, and Direction, che Obliquely en-
- coumrins Bodies Mall more altermard.
- And if che Mcmenis are a5. the Ouantiries ot
- Marcer, che Velociries vill becqual.
- 3. In comparine ehe Motions oF airs Bodies.
- the Ratio oF ihe Moments is compounded oF che
- Ratios oi che Quanriries ot Matrer, and che Cc,
- And chere is the verr Caime Rario oF the Cra- lexiries. Sccrhe Word Moment.
- vitation ot heavy Bodies, wrhich delcend, (b-
- liquely to cheir Gravitation, supposins chem tO
- 4. In comparins the Morions OF any movine
- trave descended perpendiculatIY; as We etse-Bodies, the Ratio OF the Celeriries is componnd-
- votere demonstrate.
- 13. IF the Bodies, Evhick CIUS CHCOUHECT, OL
- srike one axainstanother, are noc infinicelr hard
- ed oE ihe Ratio es their Momenis directly, an e
- et cheir Quamcirs ot Marres reciprocaly.
- 5. IF the Celerities of any Noring Bodies are
- (a5 hach hicherto been supposed) buc do vield egal, ihc Spaces passed over, will be directly a5
- Tomechine co che Seroak, bur ver (0 asthat by a che Pimes in which che Morions are made.
- Sprins, Or Filastick Porce they can recorer their
- And consequeney, is che Limes are a5 che
- Fioure, or Position aeain: It mas happen tiom Spaces, che Celeriries nust be equal.
- hence, thac thole Bodies may rebound back From
- one anocher aucially, wilich otherise would
- hare mored on corether: (And rhismore or lels
- accordins ro che Ovantier oE che Blalticity) viz
- it the Flastick Force execed tle Piogreisire.
- In Moriens which are accelerared and recard.
- ed, The Imperus in each NioenE is Ed DC estee.
- ed chac wrtrich aerees ro che desrée dt Celeriir
- then acquired. Bur when che Mocion is made
- in a Curre Line, that is to be acconnred the
- Linc os direction ot che Norion in each HO-
- ment, hich is itul che Pansent to the Curre
- in chat Point. And it ertien che Horien, beins
- Cirter ACcelerated Or Recarded, is made in
- E urve-Line (as in the Vibrariers oF a Pendu-
- lu) Etic Trripecus is 1o be chimaced in cact
- Poine, dccordino to boch che defrée ol AccclG
- racieti, and he Obliquiry oE ihie Fansent eliere
- Philesoph. Fransact. II. 43.
- dies crikims one asaue andiner, son hare alte
- hiem ihe P’arreuto Ais. Bhuseno, in ehites. Eransact
- P. 46.
- 6. HF ihe Fimes are equal, ehe Spaces pattect
- chro Will be asthe Velociries: And consequent-
- Y, is che Spaces are as che Velociries, ihe Fimes
- ill be equal.
- lThe Distances, ot Lenerhs rin, are in a
- Ratio compounded ot the Rarios ot che Times
- and Ccleriries. S0 char Spaces, or Distances
- mored chro, may be considered as Rectanoles,
- under che Fimes andche Celeriries.
- Wheretore it theSpaces, or Distances run, Be
- equal; che Rectansse under, che Celeritr ard
- Fime et one moreable, will be equal co char
- under the Celerier and Lime of che otter: ANC
- cheretore, becaule equal Rectanoles have cheir
- Sides reciprocally proportionable (24. e 6 FU
- elid) 25 Celerirr is ro Celeriry; (0 reciprocally
- Mall Time bero Time; and consequentty wtien
- che Spaces are equal, the Times will De recipro-
- cally as che Celeriries.
- A 20 bai
- 18. Tho Ratio oF che Times is alivars com-
- pounded ot ihe Ratio oF che Spaces pasled Oret,
- ni de t cetrrem
- Iliv
- AN ACCONNE OF Che LaWS OF NNorion, in BO-
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/806933011:0549?run=74