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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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DEDICATIO
Verum ex Rationum item e Proportionum doctrinam.
ad arithmetica principia revocatam, jam sua tandem sede
collocavi. Cum enim eonsqu se dilatarunt arithmetićes po-
maeria, ut non contenta solis numeris, universum illud qua
Tonse latequ patet matheseos subjectum, specierum ope, suo
jam comprehendat ambitu; et quantitates invicemtum
Rationales dictas, tum Irrationales perinde respiceat:
non est cur Rationum sive proportionum doctrina univer-
Sa, iisdem se concludi cancellis patiatur; quae gnidem vix
alio nomine relictis drithmeticis, in Geometricos olim
fines recipi postulavit, quam quod Arithmetisa dum ve-
risnumeris se concludi passa est, non aenoverit Rationes
ullas quam quae veris explicari numeris potnerunt.
duod vero loneinsculis nonnunquam digressionibus
expatiari videar. (nec tamen extra istins quod suscepe-
rum necotii limites,) id data opera factum est, nec guidem
uno nomine. Partim enim illud in lectorum cratiam
faciendum videbatur; quo rerum varietate nonnunquam
oblectari possint, e traditorum utilitatem vel ipsousu edi-
seant: partim etiam (quod in toto hoc necorio mihifuisse
proposiium non diffiteor; ut reapse ostendam eriam Ceome
trica Problemata (quatenus saltem a postrione sive locali
Situ abstabunt) a principiis arithmeticis vel maxime de-
pendere; e quidem eon que abesse ut ad Problemata sive
Theoremata pure Arithmetica stamminanda (quod tamen
non raro factum video) Ceometricae plane demonstrationes
sint huc forinsecus advocanda, ut contra quae Ceome-
rrica habebantur, simplicius quidem es universalius ex
pure arithmetieis adeoque universalibus demonstranda
videantur.
uodantem vel Philoloeica, vel etiam alia Philosophi-
ea Mathematicis immisenerim; parrem illud ad subjecti
explicationem commodum videbatur, partim etiam ut
condimenti