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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 50, page id 826603459:0546
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adversus M. Meibomii
altimationem passim adhibere, uc modo dictum ett. OualH
quidem non alia de CaWTA MITMerUM L6 numero 4 majOrem
cenleamus, quam quod ille, numeri 2 sic pocestas sccunda, live
Ouadratum; hic, quarea, sive Biguadratum: Ec, cadem de
caula, numerum tractum E majorem quam =, quia radicis 2
ille quidem quadracum, hic biguadratum: Duorum vero,
tractinempe Z. _ incegri 4; auc eciam Fracti =, _ incegri 163
neurrum majorem esse, aisc minorem, purandum lic; quia
nullius radicis, sive incegra sire Fractae, uterque postit poce-
as esse. Dua omnia quam abturda dicta sinc nemo non videt.
Nam (Praecerquam quod Fallum sic, numerum EC majorem este
quam = parcem cocO; icem, numerorum 4 8 =, vel = _ 16,
meuerum majorem minoremre etle;) consideracionis est omni-
Mo extrancx ad numerorum incer le majoritatem, aue mi-
noricatem, sire excelsum _ deteerum, aeltimandum, quod
sine certii alicujus, Forinlecus alsumendi, porestas aligua. Rt
quidem non magis ek essenciale numero 64, ut sic porectas le.
cunda, puca radicis 8; quâ ne lic pocestas cercia puta radicis 43
auc etiam lexca, radicis 2; led _ quarta, radicis V8 Gve 2V2; &
quincas radicis v564; auc duodecima, radicis v.3; icem primar
radicis 64; de lubsecunda, radicis 4006; d Subtertia, radicis
262144; de Poceltas Cublelquialcera, sire sublemicercia, radi-
c1s512: & lequicercia,. Cive quarcae subcercia. radicis, 16V 28
FCsic in infinieum. Ouodque de radicis numerola pocectaci-
bus dictum est, id unircelim ralet de cuiulcanque generis aliis,
e lpeciacim, de Racionibus, gractatim mulciplicacis. Adeo
que omnino inepcissimum est, carum magnicudines, ab eo
quem habene pocellatis eradu aeltimare. Addo in luper, luperi-
orem poteltarem sire gradum nonnunquam minoris esse mas
nirurdinis: Nec quidem sumpeis cancum variisradicibus, puca
2b, quadrarii numeri q majorem esc quam eA 8; cubus nume
ei 2; Ced e eadem lumpra radice, quae puta minor sc quam 1.
Nam radicis =, Pocestascercia, Ceu cubus, s minor est quam
ejusdem quadrarum 2: P odem plane modo quo radieis live
racionis expositx Z (lubduplo) raciocriplicata sire Poceltas
certia E. (Tuboctupla, ). minor est quam ejusdem racio dupe
cacu, sive poreltas secunda 2. (subquadrupla: ) ucuc illa lupo.
raoris eractus, sirc denominationis, pocestassuc; hac interio
tn