# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/826603459:0213
# Permalink to this reading: https://leibnizlegible.com/page/826603459:0213?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 167, page id 826603459:0213
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=213
# Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000213.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 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 R P. 20.
Alsebricae Speciosa.
rerea (nocasillas inhas, ubi opus exic, relolvendo) a 2 -- 2g.
27 = 2 = 2 = - 22a. 2= = 2 7 a = 2 = 2 2 = d a = aaaa. QC.
Icem A9 = AA. AC = A9A = A A9 = A A A. A99 = ACA
=AGR9 = AAC = AAAA. EEC. SIC 2AGX 3AC CA BAA X
ZAAR. _ 23+ ∞ =(8 sCU 2 X28 IN 29XZCX2. FE CONITA
A) Ag9 CAC, hOC CA A) AAAA (AAA. 25) (8 (X, hOC CA
2X28) 2X 2X 2X 20 x 2 (Z X H + 4. Sic a) a Ca=
hoc eHata) aanaa (44. FESC in aliis.
Ouod autem aetinet ad signa F e , in mulciplicationis Desienis 
Producto, vel diritionis Ouociente, ponenda; haec obserranda p
est Regula.
In Multiplicarione e Divisione, si datorum fiena sint similia, Pro-
ducti vel Orti sienum erit +. Caffirmarivum:) sin dissimilia,  (ne-
cativam.) Nempe + per F, vel  per an dac F, Csive mulei
plicando sire dividendo;) et + per  vel = per F, dac 
Vel etiam (quodcantundem valet) Si mulliplicatoris vel di-
visoris soenum sit F. Matriplicandi vel Dividendi sienum retinetur; fin
mutatur. Nempe + Per F dat F, et L Per + daC ; item
+ Der = daC , _ = Der  daC +.
Ratio sive demonstrario hujus, ab ipsa Nulciplicationis &
Dirisionis nacura pecenda cA. (Ovales ego malim, ubi tieri
pocest, alterre, quam demonstrationes a posteriori.) Quam
isicur in Engulis casibus octendam.
Malciplicacione suxponicur quancicas Nsulciplicanda cories
apponi quocies mulciplicaror indicac, uc ex lupra dictis caD. 18.
Paccc. Adeog; qui quancitacem quamtibet (sive policiram live
ablericiam) mulciplicar per 3 vet F 3, ille candem quancicatem
Clignis immucacis) cer Donic; qui per 2 vel + 2, bis ponit; qui
per Tvel + T, Cemel tancum; qui verover o, ne semel quidem.
Sed nullies ponic, (adeo9; quanticas quaeliber, per omulciplia
caca, evane(eir: ) qui RUTeM PEr  13  3, = 3, Qc. mulci
plicac, tsc vicibus paucius quam nullies ponic, ( cum  T.
23 = 3, 8cC. lineminus quam nihil, Ecu paucius quam nul-
Dum,) hoc est revera corieo rollit, (per ea quae diximus C ap.
XV. delignis F e concrario senlu exponendis;) qui vero
collic, ille cancundem apponie muraco tigno, (uc ex lesibus
Subductionis C aP. XV. PateT:) Ec propcerea qui mulciplicat
PCF.