# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068217:0046 # Permalink to this reading: https://leibnizlegible.com/page/00068217:0046?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 4 # Folio 22v, page id 00068217:0046 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068217&page=46 # Source image: https://digitale-sammlungen.gwlb.de/content/00068217/jpgs/default/00000046.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.87 # 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. 5Jutii 16e Modus resolvendi omnes aequationes per Canonem sinuum, vel sectiones angulares. sit aequatio: data X x gX + YX+ scaequ. 0 et +t constat aequationem XS. 5yX + SYX -V aequi0 esse achorda arcus quaesiti et Y (in fallor dati 1 diameter erc sumatur alia qi qui quaeratur alius arcus cujus pars tertia sit quaesitus arcus achordae arcus datus cujus pars ita est arcychordae X. sit c. arcus cujus pars tertia sit arcus cluidae sesto d. erit E aequ dee seu ad aequ = C. poterit s ergo inveniri d per angularem sectionem, seu per Tabulas sinuum Atia autem ouetur sive chorda ipsius d quae sit e. fiet nova aequalio: X -3d X X ((Y) fiet: X- 5YX + 5NX- (∞) aqu Laequid + b X = 3bd X -b (∞) aequ. 0 sed hoc modo non procedit comparatrocum aequatione data, quia d in se includit y modo analytice non facile explicabili, ideo si V non potest invenri nisi accedar b tunc postea t non poterit d sumi pro data sed prius invenienda erit quod difficillimum factu est, huic malo duo praesentissima remedia habeo, unum, exaltationem equationis, ut si suibatur.