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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)
# Folio 227, page id 826603459:0273
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CAP. 25. quoad Disserentiam, e quoad Rationem.
Caula hujus discriminis haec est; Ouoniam ubi comparacio Discriminis
instieuitur quoad Differentiam, R. Sidua Cve PXCessus ejusdem
semper lunc generis cum compararis (quipDE TOTUM e ParS
Cunc invicem homogenea;) adeoq; (i haec bina comparara, sine
binis illishecerogenea, eciam horum differencia heterogenea
erit differencix illorum, ee proprerea comparationis incapoX
Uibi aurem comparario tic quoad Racionem, gux emerset ra-
eio comparacorum genus non raro delerir, de trantie in genus
numerolum, cujuscunq; sinc generis quae Comparantur; de prop.
cerea, acuc bina comparata binis comparacis aliis hecerogenea
Sinc, racio camen racionihomogenea cA, ut comparacioni locus
HC. EC quidem cum duplum de dimidium, crix lum _ TTicHS, etC.
perinde proracionum nominibus habenda sinc; dimidii aucem
_ crientis nocx =, 5; numeris (Fractis) accenscantur; quidni
_ duplis criplire nocae Z, 2, vel 2, 3. Acg; hac pocissimum de
caula cgo cocum Racionum doctrinam Arichmetica pocius
quam Geomerrica speculacionis esse aucumo; cocumq; lucli-
dis Elemencum quincum Rrichmericum esse, utut speciatim de
Magnicudinibus efferancur proposiciones, qua incerim non mi-
nusrecte de Ouanciracibus simpliciter quibulris efferri pol.
(ent.
cansa.
Fortasse aure dicendum insuper erit, comparationem quxe est Differeniia
quond differentiam, Eimplicicer ad Duantitarem mmainomza, refe. Duantitarem
rendâ ee, ac quxe quoad Racione, ad Dualitase vocemra. Po enim respicit, ratio
respice e videcur quae apud Buclidem exstac Racionis detinicio, Dualitatem.
A07C 65I NOHEZEDCOV SCOZEHCVn XZ HMAINOTHTA WCS RNNNa XOI
gcors 3d5. Cur enim rosa gesis reddatur quaedam habitudo,
(quod solene incerpretes,) non video; mallem habindo quali-
raliva. Ucenim fBura Maeniindo (quanca (C) ad Ouancicatem
reterri Colet; ac Species figurae, lincaere (qualis (E,) qua in ter-
inorum, parciumre homologarum racione ad invicem maxi
me contilcit, ad Dualitarem (quartam nempe iltius speciem:
quidni ee in praesenci negorio Cimilicer Faciendum Cic; uc nempe
comparacio quae est quond Differenciam dicacur comparacio
Ouantitativas ec qua secundum Rarionem, Oualitaliva. Unde,
ex racionum idencicace, non cam oritur sEequaliias (quae quan. A qualitas,
cicacum cA affectio) quam Similiindo, que oualicares magis quam guanritarum
guancitates respicie.
est; smttulio
Lu dictis itaq; Pacet, quid (ic quancirates inricem homosene. qualitatum.
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