# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/826603459:0122
# Permalink to this reading: https://leibnizlegible.com/page/826603459:0122?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 74, page id 826603459:0122
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=122
# Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000122.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.91
# 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.

De Noratione Alechricao
_ cres Ene Angeli quinque. Rcg; eadem omnino racio cA o-
peracionum omnium live Arichmericarum iive speciacim AL.
sebricarum; quae ex principiis magis generalibus procedune
quam uc Gcomecricis menluracionibus reArINS ANCUE.
20 Ouia Pocettares Algebrica no raro aleius ascendunt quam
Geomecrica dimentiones. Cum enim Ceometria non plures
quam eres admiccar dimentionee, Consicudinem Lacicudinem
8 Alcicudinem seu protundicacem, adcoque nec ulera corpus
loliduns, seu cubum, alicendic: Alsebia incerim ad Ouadra-
coquadeara Ceu Curdelolida, alialq; ad libi um luperiores po-
celtaces procedic. C omodius erso ver gradus Rrichmericoo, quid
indehnice guoutq; libec extendi poltune, quam perGeometricas
Dimentiones, qua vel omnino cancueres une vel, si plurer sup.
Ponancur, imzpinaria cancum lune et planc impolsibiles.
30 Ouia eriam hGcomeeria posser cor dimentiones Cup.
Pedicare, quor arichmecics pradus; tamen nec lic qua
crarene operacionibus Algebricis. Saristime enim comingie
aequacioneoheri incer rarias porestaces non ejuldem alricudi-
nis quod quamvis sacis conreniat Gradibus Rrichmericis GC-
omecricio, eamen dlimentionibus neuciquam convenie. Verbi
fracia. Polico pro Radice, cernario; hujutmodi pollune. 2-
QuaTiONES OCCUrrere 2O = = BR vel 2C =- 6O; hoc cA,
Duo Ouadrara aequari sex Radicibus; vel duos Cubos, PCx
Ouadraris. Ac quis non videc, Ouadraca e C ubon, vel Oua-
draca e Lacers, cum line quancitaces hecerogenca, non poste
comporari Nec enim Cubus contlicuicur ex ouadracis,
(guamvis illis cerminecur) nec ouadearum ex L aceribus Oames
enim quancicatum comparariones quond aqualicacer incer
tiomogenens canrum lunctaciendae. Sic Colidum Colido aequa-
de eA aur inaequale, e Planum Plano, d Linca Lincx; Ac Coli
dum Plano nec a quale ck nec inequale, led quid Hecerogene-
um. Sic Colidum Colido addi rel auferri dicicur, e planci planos
lincaeq: linex: ae nec Colidum plano, nec ueriris linea. Verum, l
Rrichnecice loqui libeae, oprime dici pocest, cencurius duasa
quari viginci decadibus, auc Daomillicia cencuriis rigineis b0c
eAt, numeros aliquoc unius gradus simu l Fupeos, aquari aliquoc
numeris alterius gractus Cinul Cumpeis: Sic et duascrieneum
eriaciesa quari sex eriemibus, hoc cst, (A 3 sc radix) duo qua-
deaca aequaei sex radicibous. Gum CHII MUMeri OMIRES (PEOS
Prie