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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 161, page id 1815201908:0218
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EE OM E PR IC A.
PROPOSITTO CLXZI.
t
Erx cuborum series quarumuis rationum ab aequalibus cubis AD,
cipianE.
Dies cubicas series camdem habere. de uecs propocoes, quam
navemnea Slu 1O aequales seriebus racionum AB ad DI, et PF
dflM.
omonstralto.
AB, LF aGcaa CtuM. Uare dlcta patallelepipeda caldem bales habebunc; itaque
dicta parallelepipeda, hoc est series cubica camdem habebune racionem, quam alci-
cudines SL, NO hoc estquam habene series rarionis AB ad D I, _ racionis R P
ad HIM: quod erac demonstrandums
DArallelepipedum super quadrato A B in alcicudine S L, aquatur a Ceriei cubiex a16s. huius
PR. Iem parallelepipedum super quadraco R F in alcicudine NO, aequarur (c-
riei cubica OR: cum aucem cubi AP, F  Ponanur aequales; eciam quadraca
LCdt220 Ltcaaaee
Ata HE quadracorum progresio Colita, sup erque illiS CAMLHCLA KLMS
cuborum, de interipea parallelepipedo a culus va saalu
AB, alticudo AK, eadem nempe quae longitudo seriei cubicae.
Dicoparallelepivedaleecubicam, camdem ellerationem, quae ett
BA erium primorum lacerum, ad lacus primum AB.
2
icliosolbid
LB A. Duoderae demonstrandum.
Inea AF aequalis tac lericira.
tionis AB ad D R; erit paral-
lelepipecum Rper quadrato AB
in alcicudine AL. (quod rocemuS.
Paradlelexipedum AFT) aequalc
bseriei cubiceise d parallelexipedux rbid
AC est ad parallelexipedum ALL.
(cum eadem sicbalis veriu (que) vi
AR ad AF, hoc eA vEc DH 9dc103. bis
BA; ergo parallelexipeoum AC
exiam exit ad leriem cubiLa PE