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# 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)
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A. ersenni locuo La
TIMI praecedentem Tractacum hactenus ablolverane
opera, res suas ica disponentibus Typochecis, ut ali.
oquiracux Cover Fuissene hae pagina: Haud abs re Fore
Judicari Marini Mersenni locum, qui praetacione Generali ad
Tua Cogirata Physico. Mashematica, Piculo De Rationibus e Propor-
tionibus, numeris 12, 13, 24, habetur, breriter expendere:
ubi in eundem cum Meibomio errorem laplas videtur.
Nempe cum Clarius, ad Anem lib. 9. Ruelidis, HOCATeFAE
Composiionem rationis (de qua 10d5, _ 5 d6, EGiCUr,) non esse
tanquam Fotius ex Parribus, quod aduirionis negorium est; (sed CAM-
quam F’acti ex Factoribus, Mulciplicando;) Duia secus iorum
esset minus sua parre, (naM 000, qua COMPONICIC CX 20 Et 180, I-
craris componence minor ct; _ =, qua COmPENITUT eX = _ s
alceri quidem componencium minor eAt, utue reliqua maior.)
Relpondet Merlennus, id eriam evenire, in addendis guantitaribus n:
cativis; (namm ex parcibus = 2 _  - 3, EOTUM = 5, cAt veravio
minus; et ex partibus = 2 _ F 4, cocum vel 2egregacum +2,
CA alcera quidem majiS, UEHE alcera minuS.) CIEig eur Le exPen-
diac, iplum supponic quod e Meibomius (et quidem feripo-
ccR, nt Meibomius hinc antam nactus (IC) Proporrio, inquiE, aequa.
liraris Nihili similicudine refert: Proporrio Majoris inaegualitaris, anollitur
supra nihilum; Proporrio Mrinoris inaegualitaris, deprimitur infranibili.
Acq; hinc colligic; Prout adjectione rel ablacione onihili, nihil
accedie rel demieur quancitaci; ita nec accestione proporciones
egualicacis, augecur vel minuicur proxorcio. Oucmadmodum
aurem adjectione Ouancicacis posicirx (sive ue loquicur, Eniis,)
ansecur; Negacirae autem sive Ablacirae (tire ne loguiiur, Anii-
entis) minuicurguancicas: Ica accestio proporcionis majoris in-
aequalicaris, augec; Minoris aucem, minnic proporcionem.
Verum hoc sibi perperam assumic, Proporcionem qualitatis,
nihili instar esse; Mincris aurem inae qualitacis, minoris quam ni-
hili sive instar quancicarie negacirae; cum incerim illae sintnon
minus policirae rationes, ucur minorcs, quam quae majoris ine-
qualicacis. Ouirre qui simplum dicic, non illaerem nuslies 2ppo-
miinceltisie, scd simet. Fc qui sebenslum peni dicie, non ali
quid auferri dicie, led Calrem semissem poni. Fc quidem D uplo,
can