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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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De Arithmetica
CAP.
nus est mensurabilis; Arithmetica rero, Scieniia Numeri qualenns ett
numerabilis. Onam ucramqs definitionem Scienciarum Objecca,
non cancum Macerialia, Ced et F’ormalia, continere liguet.
Polteriori veromodo, Geometriam dico, Scientiam bene mensu-
randi; drichmeticam autem, Sciendiam bene numerandi.
An sint Sci. Ouddillas aurem Scientias dixerim, non est cur quilquam mi-
recur. Hacenim cgo, siquas alias, sciencias appellandas este
nullus dubito: cum ego nihil decselenciam, quod ad Scienci-
ad Aricissimo sen Tu accepeas requiratur. Hlabene enim Subjecta.
Principia, de ARectiones, calq; de lubiceris, demonstrarionibus
maxime Sciencificis, demonstratas.
Subjecta quod acrinet Afectionum, Peu, quod perinde cA,
Objecta Scienciarum, circa quae verlantur; qua illa sine jam ou
Rendimus.
EAtnempe Objectum Ceometrix, Magnicudo, quatenus es
mensurabilis. Maeniiudo scilicet Objectum Maceriale indigitacs
Nensurabiliias iplius rationem S’ormalern denorae, qua Magni-
cudinis cractacio Machemarica ab ca diftere, quae in Logica, Phy-
lCa, nuc Mecaphylica, OccurrIE.
Per Magniiudinem incelligo, Lineas, Superticies, e Corpora,
Machemacice accepta, hoc ekt, abstracte a Maceria; quorum
varias affectiones S Proprictaces Geomerria demonstrat.
Mensurabilitarem rero lacissimo quidem sensu acceptam ret-
lem, ue, quicquid ad eorum lingulas affectiones e habicudincs
inreltigandas _ incelligendas arrinet, comprehendat.
Objectum Arichmerices, Numerum, constituo, sire euanrica-
cem dilcrecam, _e quidem quatenu Numerabilem; ouam Nume.
rabilicarem eadem lacicudine accextam vellem, qua Menlura-
bilicacem Magnicudinis.
Principia quod accinet: Panetum quidem magnicudinis, niias
autem numeri, principium vulgo perhibetur. Nam ex Auxu
Puncti Linca, ex Duxu Linex Suxerticiem, Suverticiei vero Cor-
Dusoririeraditur: nec quidem incpco. Icem ex Llnicaribus feri
Numeros, lacis liquet; cum numerus rulzo detiniatur, unica-
cum mulciudo
Nonminus rectecamen, mejudice, diccrecnr; si Magnicu.
dinis principium, diceremus, (prouchic lociprincipii rox vide-
cur incellisenda) iplam Lncentionem, LCU DREEIUM CxEra ParreS
Politionem: mensurabilicarem nempe ab exrentionc orixinem
ducere
entia.
Objectum B eo-
10bb 1110b0
Obiectum A
rithmerice.
Principia
Maenicudinis
 Numeri.