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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 44, page id 826603459:0490
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DEDICATIO.
perducemus. Nempe AP = d. A a = d Fe  9 (nam a CU
Perins inquirimus;) adeoque - A a = - d - B + g. PaC=
erzo, proprer analogiam indicatam, d. md = B + g:: p.
nd B+ 4.
P2 = ABC.
Sed eR etIAnI FP. Pa: : B A: AB. hoc eA, (ut ibidem
3d un a
Ostendicur,) 3d. p: : 3 d  9. 3d P = AB. (abi AB cA
quancitas negacira, sicucipta 3d = 4, quippe q major eAt,
hoc calu, quam 3 d. D ejulqi cubus
ap2 = ABC -
d = B+ 9
27d = 27d 9+ 9d9 q
27 d2
Adeoque (Eacta reductione) 27d  27 d29 +9dg2
= 27d  27 d = 8F 27 d= g. HOC cA, 9  9dq= +
54d = 9 = + 27 d 8+ 54d. Oux, lubsticuendor + 3 d = 4o
reducicur ad aequarionem HanC r. + 27 d2 5 = 27 d2 8
5+d2. Nam
r2 +9dr = + 27 d27 + 27 d
9dr =  54 d=Y  81 d = - 9 dq2
+54 d= r + 162 d = + 54 d 9.
3 + 27 d =r + 108d = 27 d 8+ 54d
Et r3 + 27 d = 1 = 27 a 6 34l.
AB continuatione Tursum alera verticem A, (naM, UIE nUNC
ordinacim. applicata negacira, nom pe sinittrorlum, applicacur
diameero astirmatirae, puca deorlum: ica, calu ilto, ordinatim-
applicata affirmatira, hoc est dexerorlum, applicabitur diame-
cronesacira, puca Curlum, applicabicur enim supra verricem
A: adeoque utrobique mucanda crune diameeri Aa Ggna
uc analosia rice insticuacur:) cum hoc unico dicerimine, quod
Chmillic h =8 = 2d = AC sic quancitas aftirmacira (de-
orlum lumenda:) adeoque aequationis quancicas abloluta, aF-
trmacira
Acquo idem plane creniet, s panctum B fueric in CurVX