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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 40, page id 826603459:0486
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DEDTCATIO.
dersque C intra verticem. Pciori casie, erit t8 = 2d quanei
eas nesacira; pollerioris quaneicas sffrmacira.
Ne aurem aequationis Bemine r = 27 d= r = v 27 d 8
=54d juneta consideratio contusionem pariat, leparare
liber; eamque seoelim perpendere que punctu D deortum lDe.
etaE r2 = 27 d 2r = + 27 a 8 =. 54 d, CujuS DFOPECrCA
radices nesarire incerpreco. idE crune in contrarias parres, hoc
ecurlum (quae aurem delidc dicentur omnia, eadem muta.
Eismutandis, de aIEera quae D Cursum spectat incellieaneurs
cum hoc solo dilcrimine, quod qua in una Cunc radices aftirma.
cirae, eadem in altera sunt negacirae, _ contra.) Tum pro ditu
terentia duarum B, 2 d, CuLCicuo B; adcoque   2d == = B,
nempe + B = A C deorsum, hoc eA, ( B = 2d, hoc cA,
EG _ F A, ad eoque C intra verticem: _ L B = A G TUT.
lum, A AE e ~ 2 d, HOC eA F G = P A, adeoque O suPra ver-
ricem, (non modohincer Fe A, ubi Calcem FG eric quan-
ciras aftirmaciva, sed mulco magis si tic lupra b, ubi ip(a F C
eric perse quancitas negarira, (supponicur enim cintra P) a
deoque 8 = 2 d cric mulco magisnegacira, nempe  PC
F R.) Denique, Dono d L1 C licec enim diamerrum quo-
cunque numero delionare, adeoque religuas quancicaces ad
nUMCMAMerUM COMPaTare,) uc liceac, cum d, tum ipsius om-
nes pocestates omictere. Adeoque aequacio punctum D deor-
Cum Spectans, ericr = 27r = L. 27 B C prour Ccilicet (
contingat intra luptave rerticem.)
His policis, uc aequationem expolicam r3  27r = L. 27B
relolramus: Videndum primonum B =0; quipve lihoc con-
tingar, cum resjamjam ab(olues est; nempe cranrelcente L 27 B,
CriEr = = 27r =0, (adeoq; radicum aleera r = O) _ r 2 = 27.
adeoque radices duae religur, r = + V 273 r L = V 27.)
quippe casus hic, ille ek quem hactenus cractarimus; ubi nem-
De inCcripea per verticem eran(It.
Sin illud non contingec, sed h quancicarem hobeat (sire ad.
dendam sive auferendom;) Videndum
Cecundo; uerum ouadracum semissis
numeri 27b; majas (IC, an minus, an
aequale, Cubo Prientis numeri 27:
Hoc eAt, urrum 222 h 2, plas sic, an mi-
a1et
nUS, quLaM 729, auF eciam aegUalE. FOC CH, UERUM B = SE majuB
ladala