# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0328 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0328?run=74 # Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1) # Folio 282, page id 826603459:0328 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=328 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000328.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 recognised, mean confidence 0.94 # 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. De Proeressione Geometrica. CAP. 3L Modium nostrum; cum illorum Pere duas libras, quas vocamuss Trojanas aquabici (alcem 34 Rocala (pondus Naibx) aqua bic 60 libras Frojanas, nempe modiinostri pondus. Accura- eam vero mensurarum vel ponderum illorum cum noctris comparacionem hinc instieuere minime ralemus; propterea quod (ubi omnium fundamencum jacicur) grana loci decimi TexEi non CEAEHUnEAE mensuram Radat praecile implere, led Caltem implere, de potius luperare quam deficere. Si aurem libeac ecia totam qua emersit granorum molem, ad menturam milliaris Anglicani redigere: illud haud magno labore hec. Cum enim constae, ex superius dictis, prana loci vi- celimi, 524288. Calcem aequare vel porius luperare modium Anplicanum: crit modiorum in coramole numerus Cut divi tone Pacebic) 35284372088832 (lalrem uno grano minus) nempe quantus est numerus granorum in loco 40. Continet autem quilibet modius Congios octo, quilibet aurem conpius pollices cubicos 231, (de Vini Congio incel- liso, nam Congius cerrisix concinet pollices cubicos 272 4 nempecot cubicos pollicesi quoclune, in quadraca Perrica, Pedes quadraris nam 16=X 16= = 272 4) quod accurare le oblerrase restatur D. Ouchrredus in libro quem DeCirculis Pro- portionum in CeripHE, C ap. 9. Fc proxterca in Modio anolicano Concimentur pollicer cubici 1848; acque in lex Modiis Anolica- nispollices 11088; cui cum praxerpropeer aqualis tuisse col- ligicur Ardoba Aerecia, quae illorum cubico cubico aequalis ponicur, eritillorum cubitus cubicus pollicibus Anglicanio 1088 aequalis; adeog; cubiti longirudo, eric pollicum Angli- canorum 22(3 circiter. Milliare aurem Anglicanum continet 8 Radia, quorum quodliber concinet 40 perricas, harumque quae liber pedes 16 33 adeog; Radii lonsitudo, est pedum 660; millharis aurem, pe- dum 5280. Fe proprerea, milliare cubicum concinebic pedes cubicos x47 197953000; hoc est, pollices cubicos 254358061056000; (quixpe pes continet r2 Dollices, 2de043 Des cubicus pollices cubicos 1728 =T2X12 X12.) Cum itaque, ur dictum eR, modius contineat pollices cubi- cod 1843, diriso per hunc numerum numero pollicum cubi corum, unius milliaris cubici, prodibic 137,6396434287 n1- merus modiorum in milliari cubico. Per quem icaq; numerum 282