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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 246, page id 1815201908:0303
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L L IPSIS.
Corollariuim.
TInCpacec, E ducantur quorcinque reax ad JK sive N F parallelae; omries i.
DF Bifariam diuidi: eadem enim est in omnibus demonstracio. Px quo vlceriis
semanifecstum sectionis D P. F. N. (quam elliplim deinceps nominabimus) diame-
Dom 2. truim a ese lincam DF; FCCtam Vero NF. b exceralque hiuic parallelas ordinacim
Ccaddiametrum D E applicatas. 
PROFOSIIIO II.
IIdem posiris; ducacur in ellipe DE F N linea quaenis R T, parallela
Lad F. N LBC lR, secans Mamerrum D F in puncto FI.
Dudtectangulum MF ese ad rectangulum DHF re quadracum
E M ad quaau LCLL.
Defir. 
Demonstratio.
DEF punctum FH duCAEUE REcta QHS PALAHICIA PCCE O P occutenslareribus
crianguli ABC in 9 e S. cum perrectas S, TR agacur planum, crichoc
cir onde cParallelum bali AC C ac d prosisce seccionem producer circulum (R S, iam
16. prot. Vero racio rectanguli DMF _a TeclAMS DHLF componicur ex racione DM
2d D FY, Choc est, quia P M, O FIluncparaCLL CL COM. ex racionC PM ad OH
racione MO ad H(S.) Acquirario reccanguli  M lecla aa OFIS com
poulcur ecium exracionibus PM ad OHI, _ MO adHIS. erBO fCLI DMF
est ad receangulum D HIFi ve recrangulum PMO ad rcccangulu HS; hoc est
quoniam sectiones PF O. R S.CCutn, Veccerangulum P. M N ad reccaN.
eribuin sulum ffLT, hoc est, quia c F. N, R Y bilceexe sunc a diametro D P ita AL _ H, vt
31.
_ exraciONC MEF ad HIF (hoc elE, quia ATO, FI S ex construcc. sune parallelX, ex
quadracum F. M 2d quadrarum R HI. Quoderac demonstrandum.
pom
15
1 b 24. 23 l951
Scholion.
et es e ut set t t e t t ituu e ea  e te 1 s e et p u et  s pta ta te  et et Ae e t ee  t  stet t tt t te ut e    e         t et   ia