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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 32, page id 826603459:0528
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Adversus M. Mcibomii
tionis = seu Z, e rationem Z esse Sirnasiova duptam (CeI BO
eius duplicatam, sic enim rectius verrenda cset ea voX) rationis
5 seu =: nos nihilmoret, quipoe de nos idem dicimus. E.s BI-
quidem Z = Z+ 2, (adeoque Z = V Z;) & 23 = = X Z X = = V:
4x2 ,Z. Hoc ett, quancitas Z CH quadratum, (sive pocestas
lecunda, (ive racio duplicaca,) quancicaris =: Fc quoncitas = 3
est Cubus (sire pocettas cercia, sive racio criplicata,) quanci-
cacis 3, quae estradix quadrarica (sive pocectas lublecunda,
sive ratio lubduplicaca,) quancitacis S. Ouod autem nec Thed
pora, ullus; miror equidem; qu’a Fronce Meibomius aftirmare su-
cinet. Nam, quisnon e
Toca concrorertia cardo in hoc verlatur, quod Mcibomius
vel nelciat, vel nolic, dittinguere, incer racionis duplarionem, iri-
Plationem, quadrup lationem, _c, hoc cH, mulciplicationem in 2, 30
4, _C: Unde Orieur NbZ C ANdo O, TSLWNaSIO, TETPaWNaSI-
O, Rc. ac que eam racionis duplicationem, triplicarionem, quadrupli-
cationem. _C. quae tuc continuo dueru quancicacis in eundem
mulciplicatorem bis, cer, quater, _c. Dolicum; unde oricur no-
e Sirnasior, Tecrnasiar, Teregnasicor, _c. Ouxe quidem
inter le plane diversa esse, eciams Meibomius millies neget,
non camen capropeer est minus verum. Ouixpe aliud ommino
c quancicarem a, bis mulciplicare in numerum 3, unde
proreniune duo cripla, hoc est, duplum cripli, nempe 3 A + 3 A
vel3A X 2, nempe 6 a: aliud vero, quancicarem A in 3, bis
concinue mulciplicare, hoc eMt, in 3X3, (non, uc prius, in
3+3.) unde oricur criplicriplum, sire AX3X3 ==A L9. vel 9A.
Dicec Corraste, eodem Censu, in Archim 8. l. 2. de (pt. _
Cylind. acque Fucocii in eam commencariis; de eadem dici
Rogor Sernaesior, & Nogor sronasiora. F’aceor equidem id Aeri.
Sed, librariorum id incuria heri non dubico (vcluperius dictum
CA,) qui cum Macheleos Forcasse minus fuerint gnari, neque no-
3Sonaoi e sirnasior dilcrimen Catis accurace intellexe-
rinc, errorem illum, vel etiam eo majores, Facile admilerint.
Sed ech demus, eadem voce (Eve Sirnâs, B ea HC, Eve Sirna-
oicor,) ucrumqe innui (quod, de rocenuox. , Facendum vi-
decur, ob rocum penuriam, admissum esse;) Non camen inde
Eequitue, res esse contundendas; sed eo accuracius prolpicien-
dum, uero senlu rox ambisua usurpecur;ne secus error obreDat.
Na