# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/806933011:0549 # Permalink to this reading: https://leibnizlegible.com/page/806933011:0549?run=74 # Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71) # Folio - , page id 806933011:0549 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=549 # Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000549.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 106 lines, status machine # Lines: 106 recognised, mean confidence 0.88 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. 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-