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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 547, page id 1815201908:0604
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# Lines: 50 recognised, mean confidence 0.81
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et
EesIr
V1B
1Bc.
IC
3De
CTaS
oni-
din
HXPE LBO
ACa Sc hyperbola ABC cuius
adem oporrec exMlibere: invenco
cenero Ddelcribatur inceruallo quo
dis, circulus AF C OCCUEFeNS hyPer-
bolxe in A et C punctis; quibusiun-
etis secetur AC bitariam in F, duca.
curque DBF: dico D F axem essehy-
perbolae: cum enim D F Cemidiameter
circuli A F C. bitariam dinidac reccam
AC, in circulo applicatams ad angulos illam secat reclos, adeoque de omnesilli pa-
rallelassigicur cum e cenrro hyperbola, quoque eduera lic, recta B axis elt hy.
perbolx ABC. fecimusigirur quod erac poltularum.
Puncta intersectionum A ex C Geomerrice exhibebimus parte huius libri sexta.
PR OP OSTTTO XKIII
D dacam diamerrum in hyperbola ordinarim lincam ponere.
Constructio es demonstratio.
Constructio ex demonstratio.
Acalicls Petbola ABC, cuus diamecer da-
ea sE DB, oporcec illi ordinacim applicare
lineam IK: diuisa D B bitariam in NI, PONRNEUE
typerbolae asympeoci bDB, DFI: acEaque PEx
Bverricem diamerri, recta P II, quae in B diuila
Sc bitariam, Ponacur F. II, aquidistans F C1, Oc.
currens sectioni in I _ K. dico IK lincamom-
nelque illi aequidistantes bitariam diuidi à dia-
ecro DB: cum enim F FI in B dinila RCbita
riam, ipsique F FI aequidistec SC, eric se illa in
E bitariam divila: Sune aurem d FL, cRC X-
quales; igitur e religuae P I, L R incer se equales
lunc; isicur IK linee omnesq; iIII a quidistances à
DB diametro bissecantur. Applicuimusigitur
ad diamerrum D B ordinacim lineam IK. Quod
cactaciendum.
otiui
ROPOSITIO ZZIV
caa yperbola e diamerte, appitalc dalal Lcltam ordinarim ad
a a M.
e
constra
  pat u  pete  s.  set tat t e  t tt  s itt e t  et. sit ti t tt te   a d    t si