# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068195:0316 # Permalink to this reading: https://leibnizlegible.com/page/00068195:0316?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2 # Folio 158v, page id 00068195:0316 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 157r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=316 # Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000316.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine # Lines: 44 recognised, mean confidence 0.85 # 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. In delineade Bachovii, dato circulo primo, summa mini potest omnium circulorm, quia progressio horum est Geometrica continua. Item summa omnlam se circulorum per saltus, certis intemediis equaliteo ubiue relictas Iem summa omnium semicirautorum aut sectorum Item summa omnium differentiarum inter circulos differentiae in ter ciculos duos sese gilerse cantes sunt: lnulae tum Zonae comentrica Hum differentae intue duas Dnulss eecentricorum Item invenine possum summas, omnium lunutarum megorum differunt entim seitnenlus ciruli Hine et summae unulaum in infinitum, summari possunt aequantur a circulis miniribus parum enim summis corculorum, et si Lunulae non aequentur circulis. 6 8 d 6810 6 10 Rachorii annntarum minorum in illo diaue rammate orum summae aequ haben 1 a + b possunt dato radio, cum uMula illae aequentu tolis aequet tatis abcd aequeture Trangulo rectanculo cae. Nota si latera Trianguli rectanguli inaequalia oc proinde duae sumule quoque differentiae lumularum aequantur differentiis Tum cutorum Curmex aequalu Nata in Delineaia Bachoriana: Lunula major ut S 3 Bi S. dento Vlo 3B m= circulo. 4S atc b+c arc, a ab + cb bse ab +ca Ergu ex abteb b a + c a - b = b +c a = 2b +c a - c = 2b a +C a c 2Ct t atc seu 2 + a + c b+C a-E +C