# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068031:0008 # Permalink to this reading: https://leibnizlegible.com/page/00068031:0008?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 13 # Folio 4v, page id 00068031:0008 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 3r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068031&page=8 # Source image: https://digitale-sammlungen.gwlb.de/content/00068031/jpgs/default/00000008.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 38 lines, status machine # Lines: 38 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. etiam sinec ptolyjonis complicatis, in quolbet loganthmo qua infuntis modis ut alibi ostendi vulor cujquis Loganchimd inveniri infinitam potest; Habebimus ergo aequationem ipsius Z valorem puram exprimentem infinitis arbitranis constantem. C Quaeramus aliter valorem ipsius Z purum ope aequationis hujus Z aqu. ab (X) veldaliam aliquam etiam una imo si velis infinitis vel pluribus pro arbitud arbitrariis contantem. et hunc im Valorem ipsius Z cum priore infinitas arbitrarias habente inveniendo et omnes assumitas arbitrarias, inveniendo, et simul ipsam X uno valore fiunto, habebitur hanfformatio Quaesita ubi Sec sane aliam methodum video sublimiorem qua si absoluta euit vix quicquam amplius otiam en transcendente Analysi desiderabimus. 7 aequ. 9 2 2, 2 +Z sit 9H et fiet Z7 fh Z AC e vel S e2 +Z H e 1 + FE B) SZe2 H e ) etsq C A iC -e e2 Hac ubi acuratius eplicata erunt et quod de seriebus inveni, 1. fi ad figura, ut facte fieri potest, applicatuus; quarum quadraturae hoc modo invenori ppossunt, et Si vicissius etiam altro modo alogarithnis scilicet quaeratur summa rersus novas habebimus aequationes et forte huc deneiuus, aliquid quod prosit ad mognitam Z ex exponateo elimmandam. e alibidemnstratio annar. 1678