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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 432, page id 1815201908:0489
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# Lines: 49 recognised, mean confidence 0.84
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

P A R AB O L A
patabelae ABC apicem habene D, obuerlurt apici parabole ABC e
axemlommunem; dein. quaeuis ducantur diae B, FC Occurrentes
parabolB in B, C. F, F punctis; actx vero per A_ D, concinsentes, dia
nctrosil. B, FC lccenein G, FJ, I, K. 1t
:Dico L. C.B rectunigulum este adrectanis ulum F IC, ve c quadtacam
F: 4 ad quaataEuM F L. - 1.  LIIMSSIICL 11
211
Demonstratio. 32 L. CC illi
CuEF C:B ad FIC, rectangulum est ve quadracum LD
e. ROeOSIIIO CLZ.
Inc ABC, D F. F parabola, ad cundem axem
AD inverse Dolux; ducti (que ex A _ D, OF
arac lincis Af, DC, iungantur puncta AC,
uxpraeterea quorurs BL parallela AF occurrentes parabo-
Dico quadratum B C, re-
etangulum BG F. & quadra-
cum C P in continua esse a.
nalogia.
Demonstratio.
L BC linca ad lineam GE
lic quadracum BC cAt ad
rectangulum BCF F: Ccd eciam ve
BC Id GF, SIC BC F reclangum elt ad quadeacum CF; igicur ve quadeacum
BC ad rectangulum B C F, sic BC F rectangulum est ad quadrarum G F. Quod
crac demonstrandum.
IIdempoliris:
bererarione eius Glum habetbe L Ecctansulum aa reclan uDbL.
FD;C
lisin B ex I
DOnancur ordinacim linex FL, BMT. Guoniam AD
linca, aequalis ponicur lacerirecto, e F.M, FL Or
adraCI D. .1 11.
dinacim applicarae sune, quadrarum F D (hoc est qua-
draca FL. MI MI D) aequale es rectanguioD M A: X qua
dracum FD (hoc es quadrara F L; F, D.) aqualeire.
ctangulo D I. A; igituE VE F D quadracum ad quadcaris
FD, SC D MI A rectangulum ad rectangutu D L. A: led
DM A id eA OFII rectangulo aequale est rectangu.
lum FGB; _ DL A xguacur F IC; rectangulum igi
rectis AC, FD in H e I, _ axi AD in C.
EROPOSITIO CLXI
Dico ACD rectangulum ad rectangulum AC D, duplicatam ha-
Ailbblsot abio
Ao AC D rectanguli ad rectangulum AG D composica est ex ratione AC
ad A(, _ Cx CD ad C:D: racio vero rectanouli BCFF, ad B CFF lectano.
lum, compolca est exrarione BC ad B Cin ec ex C F: ad Ct F: led rario AC ad A6,
dupli-
Nostete etit p   e e s  t te e te te tu te tut t et t e u tte t e  e  st. et e tet ee et et t  ute   t   te e te           e         1