# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068073:0084 # Permalink to this reading: https://leibnizlegible.com/page/00068073:0084?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1 # Folio 42v, page id 00068073:0084 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 41r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068073&page=84 # Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000084.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 97 lines, status machine # Lines: 97 recognised, mean confidence 0.74 # 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. pssu nan qurs u onihna f.331 p uo edat nio quiq unoni no sietu b.9. 9uusse quigrad disuoe E- suiontu a 5 ac e sugao tliiait, spit qu d e a 3 5- + e geu e eri etium finita aequatione oplinde idculica ad numeri rationales notun dun gaavent, abo in negnozen t Eht. saein ranoy. V vyums. 6. a toinus no ingehkniu esem Hser epesuiptum um vided nhib or a diab .te. H. ibpne 4 i nos dccompariitione visunuite lerenam aequ. 8 et aequ. 4 sates qoium niter se coincidunt et ab initio compatrat ossant ergo mutilis poste comparatio per Viferentialis sed vera ratio siendi vera osvilitatem suppositionis haec est: sumta rasatione aequatio differentialis h. et e in ea n c. soteatur a; ope aequationis initio dalae Y et F relationem E sexstrimens. sed hoc mutile potumus ab hgitio 1+ fVat itaque iau iptimum fore sicrem revocare ad aequationem unicam possibilem posstta a Aqu. E+ Z. assumatur alia hurgmod f5 et pro a oere in Xq. 8 ponendo hunc ejus valorem abebitur egratio in qua nula amplius erit a et infinita. s Ex ea extrahatur Tadix ut Dinveniatur y constateist pure et rasro natiler 2 ed difficile est nonnisil judicur de impossibilitate in hingmodi seriebus Et nil video quod prohibeat et invente valore ipsius et possibilis, etso V p ex aequ. 8. judicari non sit explicula iverium gnlinemus eam lincariter, et exami hungo limites qui possune facere uno innob entemus eos evilare fiat series finita aequatione Gidetur tandim les redore etiam c examin andum reduci posse e sed tano non opuicurva) an possit poni a aequalis cuidam tangentis ad stangentem relationem certam habenti sposita terta tangente. usimarum etis 4 2 possero angente Radio 1. poniatur cungense ouq b+ c + d A et, etc. 2 =aequ.0. quantitati sinte. Rursus ponatur ago aequ. Bmanst +9 et s aequ aequatu infinita est in aequ. . prose ponatur eiqualor ex e. maixime in definita, ducatur s estabit aequatio sola inter oco at ponendo aeqratione 3 et 5’et qua fres. crs 4 et pro terius vafor in egb. F. exo ce u. l. fet aegl. 5 quuo est aequ. 57 et seud ni vided infinitis d