# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068139:0029 # Permalink to this reading: https://leibnizlegible.com/page/00068139:0029?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 15 # Folio 15r, page id 00068139:0029 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 14v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068139&page=29 # Source image: https://digitale-sammlungen.gwlb.de/content/00068139/jpgs/default/00000029.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 41 lines, status machine # Lines: 41 recognised, mean confidence 0.90 # 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. aec ut clarius appareant de scribamus 6 lineas sinuum complementi t quasi, sinuum complementi arculua son temporibus applicatorum Linea Nempe quadrantis a()aebinea dunua Com figura sinuum complemensi erit pa E5I se cui producta e occurret in 5I. Sentque 05) aequ sirmiad copplementi Bd arcus ag vel a de ut simus .Sed binea ad sinum tolum Ba quas sinuum complemensi ect imo fieri edlinias. si poterit 15) aequ s et aequ. Bd et aaSaessv. βa linea veru sip quasi sini sed quanrantis 9Va figura quasi sinuum complementi a5 ~ sitque ad aB ut GW (sinus complementi arcus a) ad _a sinum ejus quadrantis totum debet autem ess C a D ad at t svel ga) seu quasi sonus complemensi debent esse ad veros simus complementi rales, ut siat figura sinuum complementi, ut quemadmodum rectangulum aB) ( seu quadr. aβ) a (h)) aequatur figulae sinuum complenenti (cm nam figura sinuum et sinuum compementi reapse non differunt, susit enim altera alterius inversa) ita est 2. MGEDM) rectanus. (non quidem agco sed ejus mult plicatum ut sit alquadr: aß quadr. 6 nratione A2 ad 1 vel 8co) nempe a in AS2 sit aequal. figurae quasi simurm, complementi Va)3 V. cumque futurum esset rectanus. aco raqu. figurae sinuum complementi. veromm quadrantis aVa. sitque agco ad ae in A ut eco ad A-2 seu ut AE ad N2. Hiuc et debent applicatiae quasi figurae sinuum esse ad applicatas figurae simuum foliorum ejusdem quadrantis, seu a Vad ca vel vel 78 ad 84 sut R 2 ad 2Z.. jam A 12 ad DZ ut quadr. aB ad quadr: X∞. Ergo xB. GN ii aB quadr. Csa quaor. Ergo _B med. prap at vel a N med. prop. inter de et a