# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067992:0056 # Permalink to this reading: https://leibnizlegible.com/page/00067992:0056?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 30 # Folio 28v, page id 00067992:0056 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 25r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067992&page=56 # Source image: https://digitale-sammlungen.gwlb.de/content/00067992/jpgs/default/00000056.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 39 lines, status machine # Lines: 39 recognised, mean confidence 0.86 # 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. fiat semper rectanoulum et S A _ et BC) aequale eiam constanti quadra to ab et s. quam curvam ex Conicis constat eose syperbolam. Jam et A vocetur a e st B boc etur X fiet A B = a X et BC voce Ur y. Ergo ex dicta curvae proprietate cum it A B in LC aq. 1t s ex gen, utique fiet y- aa: a - x seu valor ipsive y sive n per ec, oritur si na dividatur a - x sed quando D incidit in A ita ut et B evanes cat seufint equalis nihilo siet a = x seu A A = AtB ereo a x= 0 Ergo meo casu siet y a a: 0 eroo y est quantitas infinita; seu si B merdat in A, ipda BC fit infinita; adoque recta edui ita normalis ad ipsam A H edueta ex Aversus Hyperbolam, e infinota, et licet continue ad eam accodat, nullum tamen punctum assionam pt vo quod ei occurrat; id eoque sol et dici At sumptota quae a res multis incomprchensibilis visa c inte- les erisque olim libris materiam dait. Sed haec ideo tantum paucis libare placuit ut infinitae maoni tudinis asionao penfinitas, ususque hujus desiera tionis assionaretum intelligeretur Superesset transcendentium finitarum aberior ex plicatio sed hanc rem in locum convenientionem rejicere maluimus, ut tandem tractationi de Analy+ Notione Fhcoremate simplici Logicae Mathematicae vari isque generibus neumeroin sive quantitatum Mathese tationibus quantitates afficientibus taa lanquam jactojam fundamento finem imponamus. os universalis tractationi sub; ectarum variisque cono bile sionificent tamen non tantum orten S aa seuo