# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/806933011:0546 # Permalink to this reading: https://leibnizlegible.com/page/806933011:0546?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 806933011:0546 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=546 # Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000546.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 116 lines, status machine # Lines: 116 recognised, mean confidence 0.89 # 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. alvars according to the Direction of that Rish Forhis Numher MIP. Breremood doch add Four) Line in ivhich che Torce is impretied. Ochers, viz. r. The srabick, no used inthesteep Moun cains ot Grancta; Wohich vet is a Dialeet tron che Flebrem, aud HOE a MOrher-TOnSUC. 2. The Cauchiem, in P. ast. Friestand. 3. The _yrian, in che IBe OF Vesgia. 4. The J. Zysian, on che Norch. side ol Hun e NOTTON, is a continual and succeTire MTu- cation or Chanse oF Place. AII Morion may be considered erher Absolutely Or Relatively. Abso- 3. That Reaction is alvays equal and contrar to Action; or Which is aIl one, che UT2. Actions oF rvo Bodies one upon another arc equal, and directed TOIATS CONFAEY PArIS: A5 woten one Body presses and dras anorher, ris as much preste d or dravon by chat B04]. The Ouamir oE aur Morion is discorerable Oy che joine Consideration of che Ouanciir c Macter in, and the Velocier oF che morins B0 dy: For che Mocion oF any Whole, is che Sum OF the MorionS OFE aIl The PArtS. And conte quenly is a Body be twice as Great as anochet and bemored with an equal Deoree et Velocitr, che Ouamcier oF che Motion is double in the FOr mer; bur it che Velocirr be allo double, cher tus oF any movins Body, and cheretore ils Cele- che Ouantiiy oF the Morion is Ouadruple ot chal riey Will be meatured by che Onanciy OF che OF che latrer. Nemtons Princip. Absolure Space which che Movable hach run The Ouantiry os Motion, which is found by ta chrouoh. Buc Relative Mocion is a Mutation oE kins either the Sum os Motions made the same ne the Relative Or Vulear Place oF che movinq BO- dy, and (o hach irs Celerier acconnced or mea Sur the Norable runs Over. AII Morion is eF it self rectilinear, or made accordino ro Rrair Lines, wirh the Tame con- Ranc unitorm Velocur, il no external Cause makce auy Alteration in ies Direction. IF a Body morins unitormly, and wich che Came Dcorce OF Velocier, pals Over Lwo Spa- ces, che Times oE che Morions will be as the Spaces; as is very plain c0 him char will consi- dex iE. IF a BodY move chroueh ruo Spaces in equa Fimes, chose Spaces ill be r0 one anochet the Velociries ot rhe Morions. IF ervo Bodies more unitormir, but wich un. equal Velocicies, chrough che lame Space, che Pimes ill be as che Velociries. IF uvo Bodies movins uniformly, 80 wich unequal Velociries, the Spaces, wtich will bC Pas over by chem in unequal Times, ill bC 10 one anocher in a Rario compounded oF chat ot che Velociries and chac oF che Pimes. Caliteus de Moru Local. Dial. 3. Giorn. terza. IF any Bodies are impelled upards by disse renE Forces, ther ill be raised ro ditterent Elcistus; Wothich Feiolus will be co one anocher aS the Squares of their Velocities. And iE Bodies Fall from difterent Alcicudes che Celericies will be 10 one anocher a5 c Squares oF such Alcirudes. bur chese Thrce Laws ot Mocion, which may be cruly called Lans os Nacure. I. Thac erery Body Will concnue in is state, cirter oF Res, or Norion uniform y formard in a Riche Line, untels it be made t0 chanse chac Stace by (ome L’orce impressed upon it. or the Difference of those whichare made contrai 2. That che Change oF Ntocion is proportion able co che morins Force impressed; and is mays, is not at all chansed by the Actionos Bodie one upon anocher. For Action and Reaction ate alrvars equal, (bY Lan 3.) Wheretore (BY Lan 2. cher must necds produce equal Chanses in che NOTIONS EONATdS CONFTAEY PAKIS: Wheretore che Motions be boch accordins to che same Dire ction, Whatloerer is added to the BOdy 10 bc moved ox wtrich is Forced 10 oire place, i5 sub. ducted From che Body wrhich mores, ee drires avas che ocher; (0 chat che Sum remains chc Came as betore. Buc il che Bodies neet virt contrary Directions, there must be an equa Substraction ot the Morion of cach, and conse quenly che Disserence oF che Morions made 10 vardS THC CONFTAEY ParES, Will remain che lame. Suppose the Spherical Body A co be chrice a5 bi8 25 B, and oF the like FIBUTC. Let A hare LVO Desrees oF Velocier, and B pursue it with cer Deerees of Velocier: Wheretore che Ouaneirr o the MOrion oF A 1O B, iS 25 61O 10; theretor the Sum oF che MoriOnS OF bOTh IS 16. SuppOl then B EO overtabC A, and 10 sive it 3, 4. S DegrCCS OE Velocier; tis plain it must lole jul a5 much it seIF: Wheretore A will 00 on wicte 9, 1O, OF TY PartS oF Velocier; and B will Fol low atcee wich 7, 6, Or 5. S0 chac che Sum will Aill bC 16; and chus will ic alvays be. MI. Reit, in his Lectiones Physiee proves chis Idem. distinettr. br branctins OE ic inco cvo Theo- remS. SCC p. 127. WHICH THEOREMS ave chete, I. Is one Body sritie acainst anocher, whether ab thc rest, or movins more ptomly, accordinh vit Same Direction mith the Former; the Sum ot the Morion in boch Bodies comard. the same Parts, remain che very same as be Sore sucbstribins one asainet anochet. M O TIO H, IS LamS. The Incomparable MIr. Iaac Nemion eives