# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00067992:0022
# Permalink to this reading: https://leibnizlegible.com/page/00067992:0022?run=39
# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 30
# Folio 11v, page id 00067992:0022
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 10r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067992&page=22
# Source image: https://digitale-sammlungen.gwlb.de/content/00067992/jpgs/default/00000022.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.88
# 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.

sionum aequalitatis.
Itaque rationem se proportionem ipsius a ad ipsum
b sic scribo a: b seu, quasi de divisione ipsius a
per b averetur.
et analogiam seu duarum proportionum. aequa
litatem sive convenientiam deliono per aequalita
tem duarum divisionum s. fractionum. et cum de
siono eandem ce rationem a ad b qua est c ad d
q
sufficit scribere a: b = c d. seu a=
C
etsi enim in se et formaliter alia sit proportioni
Si
qua divistonis natura; attamen quia posito a: b
c- d semper est a: b = c: d et vicissem hoc posito
sequitur illud; Hinc ne superfluas notas adhibean
ipiam rationem e proportionem statim hoc
e
sed relationes ad huo variari possunt modis miumera
tur radius hinc intellios  relao quadam infer
Radium r sinum s et sinum versum v quem sic de
signo
seu r; si v∞ m; n: p id mihi sienificaret etiam
m n, p se habere ut radium, sinum et sinum versum
preter notationem proportionis et rationis adtibeo 
etiam interdum notam gelationis inoenere. est enim
proportio tantum relationis species eaque simplicissima
bilibus ex o2. cum dato set
potes
e
modo in calculum traduoo Praesertim cum infratosque
appariturum sit, omnes cuclideas de Rationibus
 proportionibus consequentias ex hoc notandi
modo sponte nasci, nec opus ee peculiaribus re
oulis vel praeceptis.
s
et si esset r; ; V eadem cu m; n;