# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/806933011:0345 # Permalink to this reading: https://leibnizlegible.com/page/806933011:0345?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 806933011:0345 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=345 # Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000345.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 123 lines, status machine # Lines: 123 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. Theretore in che common Parabola y: Z: :=: 5Z: y; that is, IHC Fluxions oF the Ordi naces are reciprocallr a5 che Ordinates. Theresore it an FEyperboloid be Form d Froin che Parabola; that is, one wwhole Ordinates (10 che conrex side oF the Curre, ard Parallel 1o one of the A(ympEOteS) be 2 Series oF Reciprocals tO thc Sublecundans; and one Asymprore Being the AXC oF the Parabola, arid che orher the Verrical Pangen oFche Parabola; then the Fluxions oF che Parabo lical Ordinares Mall be as che correspondins Ordi nates in che LErperboloid. In che Vulear Crcloid, che correspondins Cir cular Ordinares beins called s, andt, trom the Ma ture oFthe Crcloid; = s-= C, andZ = 1 -1 - C, the Onantiries c and C expressing che Circular Arches But Som Mhe Nature oC che Circle s. ] c Erx = X and c + C - 2 r v = that y : Z: : 2r Er, = DX 5. So chac the FluxionS oF ihe Cy. cloidick Ordinares, are in the Racio compounded oF the Segments oF che Diamerer directlY, and the Circular Ordinares Inversely, or a5 che Rectansle under chose dexmenes, aud che Ordinares alter- nately caken. Inche Circle purrime e, C, ihe Fluxioris ot che Curre correspondins ro the equal Fluxions oF che Abscilles in and i, ve have i = , and C- and conseguenels, c: C : : : = : : 2: y; cat is, che Fluxions oC che Curre are reciprocalls 25 che Ordinates. FLDXDS Clylosus, ehe same wich Caliaea passio FLDXOS Hypaticus, is a tind oF Dysentery Wherein black Chining Blood, and much Orer. HeaE. ed and corritied, a5 ic vere, is driven our of the Gurs by the Fundament: It is Pomerimes caken For a Dysencerr, Wrherein serous Marp Blvod is era cuated. Blanchara FLY. Sec Flie. FL VINO-CAME, is a Cnall Body OE an AEmy consistins oF 4, 5, or 6000 Men, and Pomerimes OF a greater Number, 25 WveIl Foot as FTorle, which continualls keepsche Field, makins divers Mori Ons, to prerene che Incursions ot ihe Fnemies, Or rotrustrate their Enterpriles, to hinder Conrors. EO harra(S Ehe adjaCenE ConntrY, and eo chrOW ii selE as occation serres, into any Behescd Place FLTINOPIHION, is a part oF 2 Clock ha- vins 2 Fly or Fan, cherebr to sather Air, and lOto bridle che rapidirr oF the ClockS Morion, Wwhen the WVeishe descends in the Ariking ParE. FOCTTE Majus, isthe greacer Bone oF the Cu- bit called vina; or che Prearer Bone oE rhe L C5, called Fibia FOCITF Minus, is the lesser Bone OF the Cu- bic, called Radius; or phe lester Bone oC ihe L es, Calied Fibula. FOCVS, is vich Tome, a place in theMelencery. Or orter Pars, utience ches Formerly deduced ilic Orisinal oC L’eavers. FOCVSOF an Cllipsis, is a Poine corrards cacti end ot the longer Aris; trom Whence rro Rig Lines beins drann ro any Poine in the Circumte. rence, Mal be rogether equal ro char lonser AXIS. Sec ipsis FOCOS OE a Parabola, is a Point in the Aris wichiin che Fisure, and distant trom che Verrex by a tourch parr ol che Parameter Or Latus Rectum 20 Sind iE, Sec Parabola, Consectary 5. It is called che Focus, because ic is che Poinr wrhere the SunsRays Wwill be unired, wbhen reflect ed trom a Parabolicke Concave, and consegue will chere burn Bodies; and hence by lome ir id called, the Burnins point. Sec more under P atd bola. EDCDS (in Opticls) or phe Foeusot a GIaS is the Point of Convergence or Concourse, where he Rays meec and crolo che Atis, atcer pheir Re fraction by che ClalS. FTou co sind this PoinE Or FOcCUS, ME. MolyneuX in his Fxcellent Dioptrica Nova, eires severa aemonstrative WayS, P48. 10, 11, 12, C9C. P. HE chere be a Body of Cla(s, Wrhole Surtace is Convex, or the Segment ot a Sphere, the Focus Wvil be distant From the Poleor Verten ot he Cla(S; almost a Diamerer and hal( oF he Conrexies. 2. In a Plano-Convex ClaS, the Parallet R ayS are unired wich che Aris, or ies Locus is from the Pole oF the Cla(S, ac the Distance oF a DiamCTCK oE che Conrexiry, il che Sexmenc be bur of 3oDC. Sices. In a Plano- Conven Gla(S, 25 707 : 193: : 50 is che Radius of che Conrexier co che Retracted Raytaken in ies Concourse wirh phe Aris; Which in Classes ot large Spheres, is almost equal eo rhe Distance ot phe Locus raten in che Anis. 3. In double Conrex Glalses ot the lame Sphere the Foeus is distanetrom the Pole oF the Cila (S abour rhe Radius oF the Conreniey, iF che Segment be buE 30 DCorces. Bue iE che Conrexiries are unequal, or it the cro dides are Desmenis ot disterent ophereo; Thenche Rule is: AS the Sum oF ihe Radii oF borh Conrexiries, Porhe Radius of cither Convexier alone:: Sois the double Radius ofthe orher Conrexicy, TocheDittance oF rhe FOCuS. any Ctalo, dre noc united wirh ie (0 Toon 25 those Wleh are Farther of: Nor will che EO. cal Diltanco bc (0 great in a Plano Convez GlalS, When the Conrex side is rowards the Obiect, a5 on the COnFraEY. WherelOre chaL Learsed Geneleman concludes cruly; That ir vienins ans Obicet by Plano. C the Conrex side Mouse be turned ourvard: AS also in Bumins by Tuch a GlalS; Pa5. 25. FOCOSVirtual. SeoVirtuat Focus. Air Parallel coche Axis, che Virtual Focus, by el Ars Retraction, is aerhe Distance oF a Diamerer aud a hals oE che Concariry. N. D. The Rars irtich FaII ReATEF IHC AHS OF 1. LI. Concare-tastes, Weh d Ray talls FTOn