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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 595, page id 1815201908:0652
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N.
ad
2.
AE
E Z P F LBO L
Demonstratio.
Voniam suPEFfCIES CD F F. ZII
Lquocies lublaca à quantirace
ABDC terminacur in RL. isieur
RI DC eA ASUTA CDFF. COm
menlurabilis; Guare per praecedence
provolicionem racio RL ad CD, t0-
ciesnulciplicacrationem CD adF F,
quocies superticies RI DC, conri-
e
nec quancirarem CD F F. Duod demOnATATE OPOETUIE.
P R OPOSITIO CLXV
Idempotiris, diuila sic superficies D L, pet patunet amproco, bi
ltariam in IM, _ pars DI bitariam peF FCCCaM HNO, d IACIM COHEI
nuccur donec DN sic minorquanticas superticic ABL. K; d auteraeHt
OP LK planum aequale D N a quanticare ABL R.
Dico iterum quantitacem OPDC codes cere quancitarem
CDFE, quociesrario OP ad C D mulciplicat rarionem CD ad L F.
Demonstratio.
Vocan D supertcies per
Llubdivitione quancitaris CF.
in aequales partes, Orta Cs; superH-
cies DH. commensurabilis cAt
quancicaciCF: Igitur _ P K quan-
ticas, aequalis DN, a commensu- X.
EAE QUanCITATeM CF. SCd FC CX
typochesi commenturae planum
KL. CD, adeoque et cocum P Q CD: Commensurabile
et OD: Ouarecories mulciplicar ratio linea P ad lineam CD, rationem CD
ad F F, b quociesplanum O P DC, concinerplanum C f. Ouod ctae deoncan.. 
dum.
PR OP OSIFIO CXXVIII.
quaecunque superticies D F G F
Parallelis alymproto AB com
prehenta, incommensurabilis
quancirari FGC. H]:
in partes aequales superticiet
FCCHI, veria aliquocies commeutas parcon upe
sinquar in ex reliduum, qualibet daca quanricare minus.
AIcI
E(. 3515
Demonstratio.
Inc AB, BC aMIPTOE 
nperbo t ce portatur
Dico cories posse subdividi
AFX I2. dc.
HCNSCF
cories in aquales parces polle diuidi, ve illarum rna commenturans parcem aliqua
Iupex.
lequatasca Gua CRSH K. Oporcet demonstrare, planum FOC. HI
  a pi sp  a e.   ite  ti uit  t t  u ut te e t t a i   te     t   et  t.  te    e  ea  A  A       t  t