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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 729, page id 1815201908:0786
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a l
cancur aquidistancesrni lacerum (pura B C) rectae GHI, EF, IL, i Ca D
I, F, RE FCCTR deMIEEANEUED L, FINI, FN, IO, parallele laceri AB.
Dico AL, CM, F. N, 1O, Reuras simul sumpeas maiores este cto
Bgurx quadrilaterae AB, C D.
Demonstratio
Peancur HIP FO RR parallcls
BD: secances lincas CIB P FsCL
S.T, V. cruncigitur S P, TO, VR, 2F
surx lnul sumpre maiores dimidio figu-
ex B D C: Agurae igitur SM, TH, V
mulcoludiores sunc dimidio Agure BV
quare aeldico communi  lla
AL. CM, LH. Opla 
maiores dimidio hsura quadrilatere
C10
ABC D: Ouod tuic demonstrandum.
Atx R, HL, IMt varallc laceri AB.
AX
se, plus due Coplect corpas quod exsurgir ex ductu A BCII.
Sco ABC crianeulitatus AB divitum quadritariam in D, L, F; du-
sctilqi lineis DC, FII, FI balte D auecattedus, demireantur re-
Ob corpora orta ex ductu, DR, LL, LM parallelogrammiorum in
etu
Demonstratio
DAradeloxipedu habens balim, quadra-
Parallelopipedum habens basim, quodracu
linex D C d alcicudine D B id est F. F, cam
habet rationem quam F HI quadratum ad
quadracum D Cr: id est quam quatuor ad
onum: nam P. Elinea cum dupla sic linex
DO, crir quadracum F. E b quadruplum
quadrari D Cr. codem modo parallelovi-
redum habensbalim quadracum lincx FI
ee alcitudinem FB, ad parallelopipedum
habens D C quadracum pro basi _e D F alcicudinem; est vehouem ad rnum; quia
FiTlinca cpla citrect DC: isirur DR, L. L. liM, dueta in le, concinene decies
e quacer corpus habens balim quadracum D C ex alcicudinem D F: Rursum corpus
habens basim quadracum DC sc alcicudinem D P criplum est pyramidis, haben
aequatur Y. C ductoin se, _ GKHI ducto in serna cum F. C ductoin GK FIVIS; lC
F C ductum in serriplum est AD C sivc OKFI, ductiinse; ad dicotu KIL
dcA ABC docto in le, a crianoulo Lb C dudton erklhtacn RDO
dueci in sc. iorum DH ductum in le, quiniesconcines ADC ductum in le, cum di-
tum lincae FHI, d alcicudinem F F, ad
tisbalim guaararum Kll Id ele a am de aea; 18Ia
D R ductum in se certio concinet D A C ductum in sCc, ee F. L ductum in (e, duode-
cies concinec prramidem habencem baltem, Guactatum DC d L.l alcuame la
eA duodecies concinoc CRHl ductum in le; limilicer FiM ductum in sc, concince
GKTI L_C IILI. duccam le vigense S. BA DR. F. L, FM. IMLCIPIaS
ducto in sc, eric F C ductum in se rna cum OR FI ducto in se quadruplum ADC
aecti in IC.  quia F C ductum in CR HI aequacurrriats a L. KadOMCKH
e
llleile
45.
   s    ste t  puet tet  e ete e u  t e e e   t tete Ae tate  e   e   t  e    t  t   e  e   le   t  t t  t