# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0413 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0413?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 207r, page id 00068198:0413 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=413 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000413.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 79 lines, status machine # Lines: 79 recognised, mean confidence 0.81 # 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. l llpentasi exhibeantur per rectas ossignabiles propirtionuse ad nodum ine drdinatas patet hau suscemenis sive elementis jam elementa lencuton seu differentie seculdas pricum oidinatarum et repraesentimi lnum ad huc addere placet re ut omnib omnis AL ita Gp vicissem plr qboque noio mohas ipsa quo e A sil realitatedita ordinatas adtentiam ineam, visis (demp primani arinaam isdissips tertias esfiquatales mopptio pollatur dubitatio. Nempe posse rectas adhibem nales simu popolle suo exhiben quarum rectam assigmabi lerentiis primi gradus proportionales, nempe si quam lis et intique Aerut vinssim elementa rursus sunt proportio nalia, diferentus gradus oterum secundi; et cum his elementis exriberipissint recta assransibiles pales et differ proportionales rectae e ornava a assignabiles.t. Patet etiam differen tias secundi gradus recta e per sed per lectas assiguabi e extoni posse;idemque porro sequitur se dif VC S e imassi inassiua diferentialibus gradus erta Cujucunque icu ordinatae non u a c adistaro curvam quandam termonares ipder cumegluiddam non euescunt uniformite p cute necese hecesse est ordensatatur stilementa earum cursus crescere vel de crescece, cum recta linea nonse quo posito differentia secundi madus seu elementa elementorum rursus aliqua progressione per rectam assignabiles seu au line ae ujgusdam ordinata persitur ex repraesentabili procedunt. Et vel sic proceditur rectas in infipitum; vel pervenitur ut differentiae ulteriores vel fandem pursus habeunt incrementae variabithereiementum estans elementu sid est lacremesptur vel un ad incrementum constrens. Id veco Et hoc quidem stantum contingit, in n in ordinatis paraboloei reuum ad rectam pervenit pas vele vel ad alias oro paraboloeides paut in audi timalice quara ord iuatae sunt rationales popilis, aut in ordinatis exerosinatis pamboloeidum com quae sunt rationales a commensurabiles abi vidinatas habenta comme surabiles abscissis; vel denique in ordinatis quae ex his parabo cocicum rectae pambola, et pamboloe dum ordinatis per additionem vel subtractionem sunt compositae; in loteris venoadum bis et in universum quando ordinata valor