# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068207:0096 # Permalink to this reading: https://leibnizlegible.com/page/00068207:0096?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5 # Folio 48v, page id 00068207:0096 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 47r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068207&page=96 # Source image: https://digitale-sammlungen.gwlb.de/content/00068207/jpgs/default/00000096.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 71 lines, status machine # Lines: 71 recognised, mean confidence 0.80 # 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. sisi hoc sufficeret, posset etiam alius sector exhiberi cujus ex cessus super jectorem quadrantatem sit minor vovis dato et excessus vuloris ejus super == +en. sit etiam minor quovis dato. I Nimirum quando y est majer unitate, tunc 2 yy non ad hibenda est series Y pro non adhibenda 1+7y est series yy - y +y = y et1. Sed alia talis - - a L 17 Cujus summa est ga 1 - 1 y subtrarendo ab + restabit. 2- 3y u + etc, quasi scriplum fuisset 1+ s y3= yd 5 17 15 4 ete seu ab y - L +- + et y 5y5 quod 77 = - + - ete 13 + etc. pro area segmenti arcus y ad quadrante majorisca addatur BC seu ad: Z seu prodibt seu ad jis etyy eu ad 1-y+4 ele dib seu ad:- - 3 + = etc. prodibit pro area sectoris Lc - - - etc. posito tangente semiarus, y. yi et cum radio existente 1. idem sit valor sectoris et semiari y y y ergo posita tangente is, et radio 1 radiaq exstente arcuqe quadmutam semiquadrantem excedent cam scilicet e major unitate valor erit - L + L - -, eta at arcus s y Sis seniquadrante minoris valor ex supra dictis erit y - L 4 y = y cum scilicet y minor unitate, quia kC. alioqui series non decrescit, inter abrumque casum cadit simplicissimus, cam y aequ. 1 unde facile demonstratur nec majorem, nec mporem esse quam + - =e arcum semiquadrantis vel qualorem sectoris quadcantalis