# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0233 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0233?run=74 # Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0) # Folio 25, page id 797435492:0233 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=233 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000233.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 recognised, mean confidence 0.93 # 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. Y. E C. a varabolica A M Z vel criam aliter posita A p Z (prout hic motus ac- celeratus gractu ponitur alius ac alius.) Guod si quapiam alià ratione crescere concipiatur, auc minui dicti puncti rel linex velocitas alia pro- sienetur inde, pro ratione hypochesis, direrla spceies magnicudinis. In his conspicitur exermplis quod eodem subinde recidane composstio moruum et consursus; quod exinde quidem contineit, quia rectae cujuspiam para lelomotu larae lincula puncta rectas deleribune Cibi parallelas, unde sc ur perinde (IE an punctum ejus aliquod in ipsatrum deteratur cum ca, vel solutum per lineam ejus direetioni parallelam; ac nenpe utrum punctum Min AC firum cum ea deferatur, an libere decurrat per rectam AB ez dem relocitate. Ac Expenon ita Facile perhorum urrumliber modum magniiudinum generatio declaretur, lic enim recta AB aequabilitex rc- tata (hoc cst, ita ur remporibus xqualibus aequales efticiar angulos) et simultanee punctum M ab A in ipsa recta A B continuo motu feratur, eriam uniformi; ex ilta moruum compolitione linea qux- dam producetur, helix scilicet Archimedea (nam calia consulto pro- ponimus exempla, quo celebrium apud Marhematicos maenitudinum obiter naruram insinnem, et instillem minus ad hac exerciratis; id CranSCUEreNS mOnCO) cujus generatio per nullas, opinor, mobi. F18. 14. lium concurtus, liquido commodéque latis explicetur; ita nimirum ut motuum iltorum, vel eorum quantitarem decerminantium angulo- rum, seu lincarum, rario, quanticalre dignoscantur. Generari qui- dem poterit e concursu paralleli morus rectx AC; vel circularis motuS recta BA circa Centrum quodris B, concursu cum prxdi- eto regulari motu circa Centrum A; ac quae sic cum futura recta- rUM AM, A_; vel angulorum ABM, ABu quanticas difficile constabit. P contra, si recta BA circa Centru B mOtu FOTCtX LIB. 15. unitormi; et linul recta AC per AB parallelaes, d unitormirer dete- raTUE, rECtarUI BA, AC ita lacarum interfectio continua lineam quan- dami efficiet ( illam nempe, quae quadratrix dici Colet) cujus se- nerorio non ita clare per Stricte dictam motuum compolitione ex- rediatur, aut explicetur. Generari quidem pocest per morum re- ctum alicujus puneti M in AB delacâ parallelos ad primo policam AB; vel ex puucto cali in AC parallelo quoque delata; vel per mocum puncti in AB, circa B; vel circa A rocata, recte ab A vertus B, vel a B versus A decurrentis; sed hujusmodi Inpposi- ta quapiam motuum compolicione, quaenam lic rectarum AM, aut BM; vel angulorum BAM aNE ABM anE AMB, vel aliarum quarumris mapnitudinum holce morus decerminantium quantitas, aut incer se relario, difficulrer innoceleut. Oud pexcixue de caula moruum