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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 146, page id 1815201908:0203
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PROGRESSIONES
Constructio es demonstratio.
OI. Sc planum F C, tiac ad
seomencum aliquod OII, dende
Plano FC Fac simile de aequale
AM, _ scgmenco C, II aequale sC
planum BN, simile aurem plunis
AMI, F Cn FI. Denique proerel.
sionis planorum AM, BN, conci.
nuacae inveniacur cerminus losi-
cudinis R. Dicoleriem planorum
limilium M K postulaco satisface.
re. est enim cora series planorum
MK. ad reliquam Ceriem NR
vebplanum AM ad planum B. N,
hioc est ex constructione, repla-
num FC ad scemcorum CHliled
rurlum ex constructione planum
FL cstad scgmencum CI, ve pla-
num F C ad segmencum G FI, er-
80 Teries MK, cst ad reliqua NK.
veplanum FI ad scomeneum GI.
Ouare per convertionem rationis
neplana AMM, FC a quasa Mus els ellam series planorum similium MK, e pla.
num F L aequalra lunc. Quod etatlaelendum. P. il. 1
minus esc debet lerie M K. pecirur exhiberi alia series quadrarorum,
incipiens a quadraco D P, aqualis scrici MK.
constructio e demonstracio.
verectangulum tocum DS, 2
quale sic rectangulo AC: tum
rectanoulo D S. d InveniaeurX.
qualis leries quadeacoru POH.
incipiens a quadtaco D P. Dico
seriem POH Toluere Proble
ma. Nam ex constr. Ccries qua-
drarorum POH incipic a qua
deaco daco DP; _ xqualis c
rectanoulo D S, hoc CA Cx CON
structione rectangulo AG, hoc
est cursum ex constructione le-
ricidacae MK. Factum ipicur est
quodperebATUT.
PRO.
L Plalu LL ad scomencum
182. tain.
FerieS MIK, est ad planum ANT, re planum FP ad planum F G. sed ex constructio.
P R OPOSITIO CXLIZ.
Ata lic progressio quadratorum LKL, _ quadrarum aliud D P, quod
Ilacrectangulum AC in XlC-
cuae AB; CaGuae reltei
daca M L. Cctridc, (quoniam
quadratum D P ponitur minus
serie MK, id est ex construatio.
ne rectangulo AC,) auge qua
deaium BP, rectatipulo LS
ostu u u it es se  pe  e  e   e     u e te e    a      ui  st   p   a  e      e   n        Vi u