# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/826603459:0429
# Permalink to this reading: https://leibnizlegible.com/page/826603459:0429?run=74
# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 383, page id 826603459:0429
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=429
# Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000429.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.89
# 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.

C. dt. 44.ton Reutionibus vares.
C
elicacionis e Dirisionisnegorium, in numeris Practis; duobus in numeris
his capicibu. absolvimus. Quod breri hac Synopli conspicien. Fractis, Sy-
dum cubjicimus.
nopsis,
ab
Locum icaguecum Addicionis d sccerionis, cum Mulci. Operarionum
additio de Subductio.
MulCIPLICaTIO.
ab
Dirisio.
C A P. XLIV.
De Fractionum Reductionibus variis. Impropriae fractionis ad nu-
merum inteerum vel mistum reductio: e conira. Reductio ad
minimos terminos: Ad communem Denominatorem: Ad Deno-
minaiorem datum: Ad communem darumve Numeratorem. De
fractionum fractionibus reducendis. Defractionibus Sexacenariis
es Decimalibus, ium ad invicem, tum ad fractiones ordinarias re
ducendis.
EEm eadem quoad valorem Fractio, mille modis designa-
L=ri possic, eei suverius cradicum eAt: F. X pcdic nONMEnqUaM
ex una in aliam Formam Fractiones cranlmurare, varia (que is(2-
rum Reductionesinsticuere: quarum praecipuas hoc lumus ca
Dicctradtiruri.
Fractionem Impropriam, ad Numerum Incegrum, vel Cal. Fractionis
rem Mictum reduei posse; ex superioribus parer. Nempe. Nu- impropriae
meratorem per Denominacorem dividendo. Sic 28 = 4, guia ad numerum
6) 24 (4. Et 23 = 33, Guia 7) 24 (33. Tcem
quia a) 4a (4. FL 2 a
4. a
2. quia 21) 4a C2. Sic contra.
b
itum vel
mistn RC.
ductio: e