# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175906937X:0030
# Permalink to this reading: https://leibnizlegible.com/page/175906937X:0030?run=74
# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 6, page id 175906937X:0030
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=30
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000030.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.86
# 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.

P R L N C I P L +A
eamen addirionem atque subtractionem non aliter heri acque
praecedentium. Ut ad addendum 2 ab ad 3 ab, scribitur 5 ab: ee
ad addendum 6 ab ad 2bc, Scribirur 6 ab = 2b6. Non secus, ad
Suberahendum 2 ab de 3 ab, scribitur ab: X ad subtrahendum
2b0 de 6ab, Ccribitur 6a b = 2bc. FF (ic de aliis.
De Divisione quantitatum simplicium.
Eoniam rero dirisio resolrit id, quod mulciplicatio compo-
Lnic: facile apparet, ad diridendam quancitatem ab leu b a
pera, opustantum esse ex quantitate diridenda a b rollere quan-
ticatem a, quae dirisor est, e pro quociente scribere reliquam
quantitarem b. Fodem modo, si diridatur a a per a orietur a; X
a aa Teu a3 per a Orietur a a. Non secus diris d abc per a, Aetbc:
at per b, Het dC: _E PeF C, Het ab.
Ouod si vero quantitates diridende occurrane, quibus numeri
SnEpraetixi; oportet, factâ dirisione quantitatum, ut jam octen-
sum est, similicer dictos numeros diridere, ut in Arichmetica rul-
Baris ee quod orieur inrento quorienti quancitatum praetis ere.
Divid. ab;
Exempla divisionis simplicium.
a 47 437 abc7
Per a 5bQuOT. a5a. Ea a.
3b. 6a367
Divid. 6a b
PeF Z a 5
5ab5+ aa.
a
abc7 a3b7
sbc.
3 a3b3
E6.
ab 5 ab
a57
Cad.
Ea
aa
b3 F2a3 (eu a 3. 3 a3 b37
363
Cum autem occurrunt quancitates diridendae, ex quibus lice-
rae diriloris pexecedenti modo collinequeune; subscribitur Diri-
Coripsi Diridendo interjecta lineola, ad modum Fractionis Arich.
metica vulgaris. UIt ad diridendum ab per c, scribo , quo indi-
catur ab esse dirisam perc, vel adhuc esse dividendam. Sic et ad
dividendum a perb, Ccribitur Z. Cimilicer divisa abc perde, quo-
tiens erit ab. e sic de aliis. Oux quidem quantitares sic divila
appellantur Fractiones.
Est rero hic obiter notandum, divisiS a per an 2b per 2b, Cmi-
libulre, quocientem ese r: liquidem quaeris quantitas se ipsam
semel concinet, ideo que per seiplam dirila, umitatem protert.