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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 137, page id 1815201908:0194
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=194
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# Lines: 72 recognised, mean confidence 0.74
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_F O ML XIR. V C. A..
.Conda .
Oc qu0que Fheoremanon cancum ciculis, le d eliam alissumilibus lectionibus
explicari pocele.
oi PROP C
Priearum AB, BC,
CD, _c. ProgreNiO E
cerminetur in K: crectaq
ad quemuis angulum re-
Eta AMI, dUCAEUF MIK:
Deinde ex Cingulis pun-
Ctis in progrestione AR
repertis, ad A HI, parallela
CrIGANEUE BN, CO, DP,
aeque ica emper.
Dico exeriangulo AML K relinquendum randem triangulum aliquod
quavis daca superfcie minus.
maie
que
rdve
Y
supe
ucem
oncal
cirene
ciecule
libus i
ebie
_I
ca
o
a
TUE a
que
neget
ensH
EUIIret
ac
onti
Aen
2
prallem
FaCd
lera 1
ECu
vici
_LLXV.
Demonstran.
Voniam similia Cunccriangula AMR, BNR, COR, ac. CitapCalaC.
Lrum proporcio, proporcionis lacerum AKS AL, CK, Rc. quia aucem
progrestionis AB. BC terminus CA K, CrHHC + HHC, BR, CR, REC. Continux aB2. hninS.
proportiona les. vn de similia EriangULa ANH, BNY R, CEC, CEIAM LIHEIM FaTIONOCON
tinua ex diuidendocrapezium AM NB adrriansulu BN K. ve craperium BN OC
ad criangulum COK, e craperium C D ad criangulum D P R: apque ica sempert
sicurbrelinquerur candem criangulum dato minus. Cad eet . 676. uso
PROPODLIIO CXXXVI
aat.l
Scoplanorur ees tacousMancm commutis, let
mnus aucem lonsicudinis licL.
Dico exablatlone conciullata planorum AM, BH. C. O. dec. relinqui
cll eltet olto ado platio HIUS.  inet Cleril. s Di tICL itt
Demonscratio.
1d.d utt E12d EC. 15ICCU
 ee
C, 5 2d IsC
 l . 1 4 enet aa
DEroctuasesimam secundam huius, AM est ad reliquam seriem planorum NH
replanum B N est ad reliquam Ceriem OK: _ per eandem planum BN csF ad
religuam teriem OK, ve planum C O, elcad seriem reliquam P R: Aequeita in infi.
nicum. ergo experperua planorum AM, BN, ec. ablacione relduum serieipropol.
C78. lininru
 cncamett buto ea platto o.  at laa.