# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/806933011:0441 # Permalink to this reading: https://leibnizlegible.com/page/806933011:0441?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 806933011:0441 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=441 # Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000441.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 113 lines, status machine # Lines: 113 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. Tercexred Becweenchem, ill be likevise Infinire;, Deins obserred in a deep Valler, co pals near ctie DuE ac che Pamme time will be Intinicely lels chan Bron oF an Lill, are alivars more Retracted chan ehac Space wthich is intercepted bereen ero Inf. is chere vere no suchi FTill; or the Observations nire Lines chac are inclined, iho wich nerer (o evere made on chie Pop chereot; a5 if che Rays ol Srall an Angle; for char in che onc case che siven Lishr eere bene donn inro a Curre, by paitins finire Distance oF che Parallel Lines, diminithres che near che Surtace oF chie Mountain. Intiniiy in one Degree ot Dimension; Whereas il a Sector, chere is Intinier in. boch Dimensions; and consequeney che. Ouancicies are che one Intiniret) INEL EZION POINT oF any Curc, in Geo- metry, sienities che Poine ox Piace Wrhere the Cuere begins ro bend back again a contrary vay: AS FOF Breacer chan che ocher, and chere is no Proporrion Inltance. Decveen Fhem. Fromche same Consideration, arile thechiree se veral SFCCLS OF Infinice Space e SIIiEy, 25 has been La Tot d Lalanelepipid or 2 Cylinder In- sinicely lons, is sreater chan any Linure Magnitude tion greac loerer; and all such Solids supposed 10 be fermed on siren Bales, are as thole Bales, it Proportion eo one anocher: Bur il chesechree DI mentions are antins, as in the Space intercepted berween cuo parallet Plains Intinitely excended, and ae a s Danee, or ivich Intinire Lenect and Breadch wich a tinire chicknels; aII such Solids haiI BC as ee slrentinire Distances one roanocher: buc these Ouanciries, cho insnitely grearer chan che orher, are ver Intinicely lels chan any ot chole Wrhereit all che chree Dumensions are Intinice. Suet arc ie Spdebs intercepred berween emo inclinea Planes Insinitels extended; the Space intercepted by che Surtace ot a Cone, or che Side oF a Pvramid likerrise infinicelr continued, 69c. oF aH wtrich, norwichstandins che Propotrions one io anothet, and eothe rast ABYISOF TnEnite Space, (Wwhereinis ehe Locus of all chings catare or ean be; ortothe Solid of Infinire Lengchs Breadch and Thictenels cakren all. mAnner OF ways) are easily asignablem For che Space becween civo Planes, is co chewhole as che Arsle oF chole Planes Eo che 360DeBiees0 a LIcle A5 for Cones and Prramids ihier, are as che care and paruly Conrei towards auy Righe Liries Spherical Surface intercepred br, chem, is eo the Surtace oF che Sphere; andrheretore Cones are 25 the Versed Sines oF hält eticir Angles r0 che Diame. cer ot the Circle. Thele chree Pores oF Infinite Ouancitu; are analasous io a Line, Surtace, and Solid, and atcer ehie lame manner cannor be compa red, or have no Proporrion che oneto che ortier. Belides chele, chere are also sereral orher SpC. When a Curre. Line, 25 A F R, is parciy Con- a5 AB; Or towards a tixc, Poinr chen che Poine cies ot infinite Ovantiei, arisinq from che Contem. F, wrhich divides che Concare trom che Cor- vex parE, and consequeny is ac che beginning DE one, and end of the orher, is called rhe Poirir ol Infection, 25 lons as che Curre beins continued in F, Kceps its Course che lame; bur ris calld ehe Poinr ot Retrosression, wtien ic inftects bacte asain cowards rhar Parr or Side troim whence it cook ils Oiginal. Sec chenext Firure save one. Desore the Theory os chis Inclection and Retrogrection eE Curres can be understood, a certain Principle must be explaind, which, is this, as Communicesed by Mr. Diccori. Whatsoerer Finire Ouanrics (or il ic be aFluxi- on ris all one) soes on corrinually increasine or de- creasins; it cannor chanse trom a Polcire roaNe sacire Exprection, or from a Negarire ro a Poh. tire one, vichour Arst becominu equal eo an Infi- nice or eo Nochins: Ic is equalro Nochins il ic docs concitiually decreale, and equal ro an Intinire il ic does continually increale. Toillustrate chis, lec chere be rvo Circles roucti- ins ene anocher in che Poine F, cheir Diameters A F and L I, lving in onc and cho same Righe. Line. et A F or F Lbe = a. Let che Distance becreen che Excremitr A and any Ordinare in ei cher of che Circles be == r0 x perperuallr. Icon- sider nou whac will beche Exprestions ot che Lines intercepred berveen F the Poine et contaet ot the Circles; such as are che Lines LB and L L inter: cepred bermeen E and che Ordinares C B and GF. Tis cerrain cherefore, Thac cakins a Point, 25 B. any wrhere becween A and L, thac chen che FX- prestion oF che incercepred B F is d = X; bUE Fa kins a Poine as F, berireen P and L, che Exprection leares c0 che Speculation oF che Lcarned Mache. oF che intercepred E F, Mall bC X = d. FOF AB, OL plation ot Curres, and cheir Alymproces, Wwhichhe MaLLCLANS INFIMITE SERIES. Sec Series. NETMTTIVE MOOD, in Crammar, is wwhen culat Person, or Number. INFLAMMATIO. Sec Phlegmone TNELATION, is che Diltentation OF a PAH FrO LTALULCNE MaLTCF. NFLFOTION (in OprickS) is a Mulriplicare cies oE ihe Bod7, bul chis in che middle ot il bictin. Verb is uled (0 as ro decermine neither any parri Refraction of che Rays oF Lighe, caused by the un- equal Densier et als Medium Wherebr che Motioi or Progress otche las is hindred trom goins on in a Rism Line, and is Inflected or DeRected by Curre, Laich the Ingenious Dr. PI00k, Wvho Artt cook norice os lroperer in his Micopraph), P. L1). And chis he Caich, differs boch from Refection and Retraction, Wvtich are boch made ac ehe SuperH NII. Nemron, a5 voui vill sind under che Word Liehc, discorered also by plain Experimene, chis A F beins caten Por x indisserenily, the Values ot Infection ot che Rays oF Lishe; and Mr. De la che intercepred Lines will appear wirh ehis chanse Aire lanh hetouna, LhdC the Bealtio et the olato et dIBI.