# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/806933011:0897 # Permalink to this reading: https://leibnizlegible.com/page/806933011:0897?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 806933011:0897 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=897 # Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000897.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 123 lines, status machine # Lines: 123 recognised, mean confidence 0.91 # 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. Lex the Concaritr oF the Glass DC a B C, and its IuS) and is vet lels ac remorer distances trom es Farch: Bur ac equal distances, tis alvars che lame, hecaule all Bodies, heary or Lishe, sreat or (maII, absractino From che Resistence ot che Medium, arc equally accelerared in cheir descent. Vis Centripetae Ouantitas Motrix, is ils Meature proporrionable to ihe Morion Which ic generates in a siventime: Asthe Wciphris greater in a src2 ter Body, and lels in a lester; and in che lame Body Sions. Phis Force is the Cravity or l’endener ro Wrards che Center oE the Whole Body, and is aet one wich ies Weishe, beins alvars dilcorerable by Iome equal and conrrary Force hindring rhe delcenr Aris dc: Ler f5 be a Ray os Lighe falline on the oF che ticarr BodY. Ola(S, Parallel 10 che AXIS dc; and let d be the Center oF the Ark a bc. This Ray f5, atter ii trath passed che Class ac ies Fmersion ac s, Will nOt proceed directlr co h, bur bc retracted trom che Perpendicular d 8, and will become che Ray s k Draw chen directiy ek, (0 a5 char ic may crols che Axis in c. The Poinee (0 Found, NIr. Molyneux Calls ehe Virrual Focus, Or Point os Diversence. P. 56. Dioper. Nor. VIS, Or Force; 25 vis C armis, By FOrCC D ArmS. And ehis Vis is Firetold, Vis impulsiva ab lativa, expulsiva, curbativa, and inquierativa: Vis ablariva, is the cakins away ot moreable chinss: Andhence accrues an Actim, Duare vi (5 armis, _c. Vis compulsiva is, when any onc is cast out ot his Possettion. by Lorce and Arms. Vis turba- riva, is when ans one is dicturbed in his Posesion, a5 when cuo Arire ro Possels che lameching. Vis inquierativa, is when one Man will noc sutter an- other quietly ro enjor his Rishr, or todo anr chins in hisoun Bounds or Limits. And From all chele lome Porr oF Action ill arile. VIS Centrisuza, is the Force by which any Bod) revolrins round anocher, endearours ro Ay oAtrom che Axis of che Morion, in a TanBenE e0 chac Curre. TheCentritugal Force is alvars proporrionalro the Periphery wwtich any Body describes in ies Morion round the AXis oF ies Morion, by chC srs TheOrem OF MIE. IIusens de vi Centrifusa. VIS Centripeta, i5 thac by wrhich any B0d (trom whac Cause Coerer) cends towards any Poine aS HO IIS Center. The Vires Centripetae, are alvays as the Squares of the Velocicies dirided by che Radii ot che CII- cles described round the C enter. And also Reciprocally, a5 the Squares OF thC Periodical Rerolurions dirided by the Radii. Wrheretore, is che Periodical Times be equal both che Ceneripetal Forces and Velocicies, will beasthe Radii, (3 vice versi. EEthe Squares ot the Times oF che Periodical Rerolurions are as the Radii, the Centripetal FOE- ces are equal; and che Velociries in hals rhe Rario OF che Radii; and vice versa. HEche Squares oF the Periodical Fimes are a5 the Squares oF the Radii, che Centripetal Lorces are Reciprocally a5 che Radii, and che Velociries equal, and vice versd. H che Squares oF the Fimes of the Periodicat Rerolutions are as the Cubes of rhe Radii, OF Di stances from the Center, (Wtich is the case oF al the Planets movins round che Sun, and oF thc MoonS, OF Secondarr Planets movins round The Pri maxy) ihen the Centripetal Forces (Or Grariey ot Bodies) are a5 the Squares of che R adii or Distan ces tromthe Cenrer, (a5 we find ic ro be) and che Velociries are in halEche Racio oF the Radii, and vice versa. Sec Mr. Nentons Princip. Phil. Ma- themat. P. 35, I che Centripetal Force oF any Dody morine round anocher, be a5 the Distance; thAE BOd) moves in an Ellipsis, havins its Center inthe Cen- ter of chacForce; er perhaps, in a Circle equal 10 Fhar FIIIpSIS. Idem OF ehis kind is Gravity, by wtich Bodies tend ASeo Which, Gallilaus hathehis Theorem, That tomards che Centex oF che Parth: And such is che it such an Fllipsis, its Foci becomins infinitely Di- Magnetical Force by which Tron rends cormardsche Aant, Mould chanse into a Parabola; che B0dy Center OE the Magnet: And oF chis kind is chat vould move in the Curre ot such a Parabola Force or Porver whaterer it be, by wrhich all che l and che Vis Centripeta respectins no a C enter in- Planersare continually drann from a Rectilineal ( sinicelr Distant, ould gron Lquable. Fo wtict Morion, and forced rorerolve in Curres. The Ouantiey of this Cencripetal Force, is ot chree kinds: Absoluta, Acceleratrix, and Motrix. The Absolute Ouantity oF it, is its Measure, Brea ter or lels, according cothe FfficacY oF the C’ause chac produces ic; and wwtich exerts ic selF on aII Bodies in che Regions round about: AS the Mag nerical Vircue in some Magners is greacex chan in ochers, cho oFche lame Dimensions. Vs Cencripetae Ouantita Acceleratrix, is its Mea sure proporrionable coche Velocier which it pro- duces in 2 SIrel MMC. Thus cheporver ot 2 MIr: Nemron adds, That it a Parabolick Section ot Loadstone is grearer at a le(s, and leser aF a gFC2- a Cone, by che Inclination of iis Plane co the Side ot che Cone, Mould be curned inro an FEyperbola che Body ould continue romore in its Perimeter and ies Centripetal Force, vould be chansed into L Centrifueal one. IF any Body Frcels se LO a CenCeF, 25 in che case ol the Planers round the Sun, ils C en cripetal and Cenrritus al Forces must be equal communicared ro, 2nd exerciled upon any B0d) TeF AHILAHICE NOIH CIIC SIOHC. GTaVIEY IS GECATeE in order to chanse irs present Scare, cicher ot Rest, OrMocion, uniformir Fervard in a rishur Line. Newt Princip. Mat. This Force consiltsencirelr in Action, and atcer thar ceases, cannor remain in any Body For cheBody continues in irs neu Stare, Whechet in Vallers, and less on ihe Lops oF hish Moun- oE Mocion ox Rest, by che vis Tuertia OnIY. cains, (ad is plaim trom che Fixperimenrs ot Pendu- it is grcacer near the Farth, and lels in remore Re. VTRTVAL FOcuS, Or Point of Diversence In Concare Cla (S, is the Point e in che Tollonins BUTC. Vis impressa an lmxulle, ebile, et action