# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0137 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0137?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 69r, page id 00067993:0137 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 68v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=137 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000137.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 66 lines, status machine # Lines: 66 recognised, mean confidence 0.84 # 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. ror patet hoc modo non posse prodiie cunvar quia eadem ordinata deberetto.g.iscame aequari quantitati. 2, et quantitati 6. nisi utamur tantum numectorum primotum numeris primis, reocumque numeris potentias binarias designantibus hoc modo enim nunquam coinciditur Coincidunt puncta Evisionum ipsius AB. sed nova oritur difficultas, nam inter B et homnes ordine collocu buntur numeri primi, sed nullus amplius collocabilu inter 2, et 3. nec appare a modus in ter 3 et t intercalandi. Et facile intelligitur rem non proceder in. Quantitate continua, et ut tande in lineam desinatur, quia numer primos prae alis quantitas continua non ignoscit aqu ( 1 a, b aequ lTC, d vel jut 2 aequ agu. sZ h umele (X)a, b. ag L vn) PAB Majoris dempendii causa ponamus, a aequ. 1. et b aequ. C. seu esse secem convergentem continuam, fiet: )E aeq 10) et 4 aequ et fiei: I)a aqu d vel (V- 1 aequ d. vel p - v)C aequ. d. sed jam adeo non posse poni a pro unitate non est enim terminus constans. itaque tantum licebit ponere C aequ b. et primum A agu et fer. Iosa. aequi cd. AC et fiet: () a aequ.= sed bienus sic: sit aqu. ac denique 7 aequ. s I. B. vt Pancis Sed nihilo inde faulor fit aleulus retineamus ergo generaleur vel pur1) aequ ad hc (A B vel 7 aequ se) B aequ (. ) L i Ponatur v41 aequ. . y fict j3s aqu ad et Zaqu () bc vel sequ (7) A aqu F A Eq et ago (7) 2 rqu (3) : si _A - (C, Ly aequ. (A + lB - ID = tE Ergo ly aequ. Zaego (7 aqu. ( (y, = lB substimatur pro f 1 - TC inventus et habebitur valor ipsus Iu adeoque et ipsius Z desiderit seneralius pro Remi ut ab initio reassumamus Nimirum habemus: Posa, b aqu (vIC, d (equ ((ZZ.) aequ. juri)7. vel logarithm ce la D +b ago IC v +id. Ergo. kd d -b aequ. v. - 1 Jque u. Rursus Ca v + b aequ 1Z v + 1 et pro B substi mendo, ejus valorem, fiet: ta, la, = ta lb e +F b aequ. (Z la - 1Z1b4a + 1 10 vel: lata = ta Ib + Ib (a) ABEC aequ (3(d - 13 1b + la- t, fiet: la = FC la ld + lC, b C, la - 1. b aequ. ( qui calulus consrali potest ponendo A vel alium terenam ulu logarithm ualem unitate, tunc ntest ditiam pari a aego de vel a si quidem hic ondoept. _ ve a qu e. sio a it