# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/806933011:0510 # Permalink to this reading: https://leibnizlegible.com/page/806933011:0510?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 806933011:0510 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=510 # Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000510.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 129 lines, status machine # Lines: 129 recognised, mean confidence 0.90 # 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. the Threads M A, and NVP sustainins che WeioHtS A and P; and let the FOrceS OF thC Wcishus For che movins oF che Wheel be requi rcd. Thro rhe Centre O, draw E OE Perpendi. cular to the Threads, chen wich the longer Ra- Hlence ris plain, chac che Weishe p lying on thole trvo Oblique Planes, is in the Nature oF 2 Nedse wwichin che Parrs oF a Cloven BOdY; and consequendy che Forcesot che Wedge and Bcetlo mas trom hence al(o DC KnOWn. For ihe Force wich which che Weietr p pres- dius OL, describe a Cirele currins the Threads ses the Plane pC, is ro the force wich whichei in D and I.: Draw DO, and Parallelto ic AC; dra also the Perpendicular DC: Becaule it ther by ies ovn Cravity, Or by the stroak ot che Bectle ic is impelled accordins ro che Line H, aEECES nOF Whether the Points oF the Threads in that Planc, :: 25 p N, is 10 p HI, and tothe IE, L, D, DC AXCd OF nOF rO the Plane oF the Wrhec, since the Weighe will weigh che lame as it they vere suspended by the Poines R and L Force wich which ic presses che orhex Plane pC :: 25 p N. NFI. And since che Screrr is norhins but a Nedee Or D andL: For che whole Pover olche Weiphe forced by a Lcarer, its Poer or Force may by A is expresed by che Line DA: And this Dia- Sonal is relolvable into rhe tvo Forces, DC’and this Mechod be ealily calculated. AC, (bY Cor. 2.) Now AC beins Parallel rO DO, and dramine the Radius DO directly Trom the Centre lignities nochins torards turn- ins the Whecl. Bur the othex Force DC drav- ing the Radius DO Perpendiculary; doch che Came 25 il ic drew the Radius OL Perpendicu- larly donnvards, ForOD ==OL: Thacis, il dortr what che Weishr P doch. Now, let che NVciohEP, be in the same Proportion tO A: : 25 Wheretore (adds che ExcellenE Author: ) This Corollarr is of most Fxrensire VSc, since all MC- Chanicks depend upon ic. MECFTANICK Pomers, (a5 chey call them are Six, viz. The Ballance, the Leaver, the MBeel, the Pulley, the Wedee, and the Screm; co lome or ocher ot wtich, the force oF aIl Me- chanical Invemtions, must neceltarils be redu- ced. Scc thole mords. MECTTANTCAL Philosophy, is che lame wict DC is IO D A: Thac is, by ReasOn OF the Simi- the Corpuscular, Which endeavours to explicate lax Friangles AD C and DOK; :: 25O R is the Phenomena of Nature From Mechanicat Prin- EOOD, Or 1OOL. Then LCay the Wtcel can- ciples; i. e. From the Motion, Rest, Figure, Post noc more at all, because the Weistus A and P, are reciprocally as cheir Radii OK and OL. pla- ced in ihe Came Righe Line; and cheretore chere rill be an Equilibrium. Which isthelcnonn PrOperEY OF the Ballance, Lever, Wheel, Wind lace, ec. Buc if che. Weiohes be in ariy othet Ratio huc chis, otRO +0 OL, che Whcet will tion, Magnitude, _cc. OF the Minure P’arricles ot Matrer. And chese Principles are Trequeny Called MECTTAMTCAT Causes: And allo che MEC LLAMTCAL affections oF Macter. MIECTAMTCAL Solurion OE a Problem in Mathemaricks, is cither wrhen che Thins is done tum thac ar, in wrhich che Proportion ex by repeated Trrals, or When che Lines made ule ceeds. Lecchere be anocher W eiehE P = 20 che Lor - mer Weighe P, which let be partly suspended by the Thread NP, and parrly Puctained by theTn- clincd Plane PG: T0 wtich Plane draw. LTN Perpendicular, and HI p, Perpendicular 10 chie FTorizon. No ris plain, by Cor. L. Thacil che Tendener oF the Weighe dononwards DC ex ot co Tolre ic are noc rruls Geomerrical. Thus the Method oF Nicomedes, Fratosthenes, Pappus and Vieta. For tnains uvo mean Proporrionals; and chac of Nicodemus and Dinostratus, For divi- dins an Angle into any Parrs altigned, by means ot che Duadratix, is Mechanical: Because the Former is done by repeared Tryals, and the lat- cer by che means oF a Curre chat is noc crulys pounded by che Line FIP, it is chen ResoL- Geomerrical. rable inro the Porces PN and FINI. EOp be drann Perpendicular to the Threac NTP, (0 aStO Cur the Plane pG, in 2 Line ParaL- tel tothe Florizon: And it che Weiohep be sup- MIECOHIOM, properiy is an Opiate, ox che condensed Juice of Poppies. AIO ThCRXCremenES OF a Farus, wrhich Aick 10 the Incestines atter the Birch, are improperir (0 calld, trom che Poled e0 lic ouly on che tvo Planes pO, and Blacknels ot cheir Colour, likce ro chat Ot POPP) DC, the Weighe ill press chele Planes Perpen- diculartr wich the Forces PHI, and HINI: Thac is, ic Will press che Plane PC, Writh WV P; and xhe PlanC pG, WITH FT NI. Wheretore, is p be supposed 1o be taken avar, (o char ihe Weishe p may Arerch the Tuice. The Opium which ve have in Ensland, France Xc. is only a Meconium made by expreming che Suice oF che Oriental Poppies, which is chickenea à licele by Fraporation, and chen evrape up in Lcares to be (old here: Buc the Turks, Xc. Keer Thread N P; ehen because che Thread the Pears of their Poppies, Ox the erue Opium iO non sustaininsche Weishe, supplies che Place ot che Plane P, the Thread Will be Atrerch d by the Force WP, Whichbetore presse d on the Plarie eciete roil he in Eguitibrio, ad aa one Mas DOM EY themlelres, and ill noc rend them abroad. MEDALS, are Pieces oF Metal like Moner Stamp d or Coincdupon Pome FXtraordinary Oc casion, to perpetuare the Memorr ot lome oreat and Fminent Person, or ot lome considerable Vi Aaer, or orher Publick Berretic t0 a Nlarion, Ot People. Ther divide Medals inco Ancient and Modern; and the accounr Ancient, aII such a5 avere Coin ed becrrcen the Third and Ninch Ase oF Christ. Me Motera ace sict ae have been made midit this Lact 3 Ox 400 TCa1S. Wheretore che Tension ot chis Oblique Scrins. eo elte Lestion ot che ortier Perpendicular one AIP:: 15 25 PN istoPFI And conseguentiy, if the Weiohe p, Bc ro che WelsA:: in a Rario, compoundedot che rect- procal albes ee Least Diltances ot che Lhreacs AM, aiset DL, From the Centre ot che Whecl, and oF the direet Ratio OF P HI, 1O pVI, che