# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0468 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0468?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 236v, page id 00068196:0468 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 237r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=468 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000468.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 78 lines, status machine # Lines: 78 recognised, mean confidence 0.77 # 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. quoniam res lota eo redist ut in veniamus figuram aliqum ujus pom etiam XCK PKIK e I pono ac etia cujus differentia sit co, ideo fy E. Videtur id nobis praestare posse Hic ipse firculi quadrans ab adversa parte sumtus. Nam sit A Ar, Ayc V A. K A2K A3K es ngo esstergo 101 pero 2629. 3838 espectiae erit ef fiad, A2B, A3D frespective, 1H.E, 2k2E, 343 E Auter et quia A.KM y. erit et 18. 8 AZK 20 011- 3034 et quia 1NE HX. erit et Aid B X 2X2 3K3E . Est autem ton ( respectios. 8 11 28 -1 3d Ergo e 1128, H dx. vel brenius . 82, 1d E p, CdX. Est autem 18. A.D fergo intublucrati sumus neque ercm protict Z ax. Vel x d 1a 1020+ 18, ay dido AAttamen remerium circumspiciam quo fane videtur. 3 ut poeramus A3Kpy 4 2d387 l 3R3EHX YI A5EN 3E3T Ergo ad habenda summum .Ergo quadratura Hyperbolae. Ergo poteria se haberi spatium Hyperbolicum b NE NEH+ EABY posita T. tangente arcus, cujus sinus est y. radius r. sinus complementi X qux qu 2d+ dx et Stax. Area spatii quadratricis. Unde puldira inter quadraticem et conchuidem relatio patet, eritus et quadratuua quadratricis ex quadratura pendebit Hyperbolae, quoniom ex ea etquoddratua summa Tanus entium ad axem pendet est area conthoidis exantori ciculo generatora. Ca autem pendet exra Ad productum radium ACN duatur tangens E N. siangula similia Ek A, AKE, ea NEA, erit AKBy KE (X 3 3sEnt S+dx seu gumma tangentium ad abem applicata id aequale areae quad ratrias, ejusque portioni lucivis Ergo10 Ergo sr ad Ergo 3 s = du sc Itaque satis est ns nos nosset cosesse id a; sidect c. Error non est Ad co, sed Bd. 2 d H ex X ut ut entaX E, D3E ec 1 . P26, 2830 a3 est autem 2 nam 1B.Dnc0. 21Ep Ergo fier: ap tdx Ergo 2 cujus rei demonstietio salis experita est id