# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068192:0016 # Permalink to this reading: https://leibnizlegible.com/page/00068192:0016?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18B # Folio 16, page id 00068192:0016 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068192&page=16 # Source image: https://digitale-sammlungen.gwlb.de/content/00068192/jpgs/default/00000016.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine # Lines: 63 recognised, mean confidence 0.92 # 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. quod si crassibies spatiorum 1C2C. 2C3C assumantur aequales, itautip sae AC crescant uniformiter erunt spatia inter cepta ubipsae sectiones esi rit 1N 2 N ad 2 N ZN, ub ipsC1 D ad 2e2 2C 2 D Itaque fectiones CD sunt utab NI NV scissarum L. N, e Lementas =N Si jam ad abscissas ordinatim appli centur NG graribatibus specificio sectionum C. D proportionates, pabet duetum L. NGveL T. M P esse ut compositum ex ductibus grari veluti tabum specificarum NG) in sec- veluti . tiones respondentes aetiN 2N, adeoque esse ponderi proportiona Lem, pondus scilicet Liquoris ACD esse adpondus Liquoris ABC, ut isogo LEPN nium Z. PG N ad isogonium L. D FX Lrop. 20. si plurium peries in unum reci- piens ordinatim (scilicet secundum ipsius respondentia cuiqe eLementa) duca- tur, quantitas duebus eadem est quae aLterius duetus, quifieret si aggre gata eLementorum recipientis du cerentur in ipsa crementa seriei du cendorum. sequibur respondentia is ed partes recta FM. ab initio aliquo sumphae di- cantur Abscissae, ut si H sit or dinatim applicata respondens ber mino seriei; S.JL erit abscissa, quae proportionalis erit numero expri menti, quotus inserie sibberminus, Siponatur recta applicationes recipiens uniformiter crescere ver ab ver sus. M. Pp serie in seriem ordinatim ducta ductus est proportionalis soside facto ex duabus figuris ilogonis quarum ordinatim appLicataesint terminis serierum respondentes Ut si grave supradictum, AE. non tantum graribatem specificam augeat, quo magis ad fundum C accedit, sed 8, ubique rarias habeat crassities, seu magnitudines sec- tionum factarum per plana fundo parallela; Dabet sectionum magni tudines ducendas ordinatim in grari tates specificas, dit jam isogonium (7 FB) in alia figura hic ad jecta) cujus ordinabae at (R) sint proportionales gravibatibus se Specificis