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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 41, page id 1815201908:0098
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t
Pappi
PO FEN FL A.
Constructio ex demonpratio.
per AD, CB ve diametris, circuli
describanEUE, AF D, DF C. qui oc.
currane libi mucuo in F: cum ex F recta
demictatur FP, normalis ad lineam AB.
Dico punctum E, Cacistacere pericioni. pa-
FCF; CUM EaM AF. D, quam B F C rectan.
gulum aequale a sic quadraco FP. isituE
lineam AB, vecumque in C. ec D diui- H
sam, icerum lecuimus in P; e C. Quod erac
Faciendum.
PROPOSI
Ineam AB diuilam vecunque in C, D. icerum dividere in L, ve
C F. A rectangulum, aequale lic rectangulo I3 L B.
Constructio ex demonstratio.
Escribantur super AC, DB li-
neis, vediamerris, circuli AIC,
BTTD: quos in FI d I concinonE
linea TTI; qua bitariam in C diui-
Ca demitratur ex C linca GF, nOr-
malisad rectam AB, Dico punctum
B, ese quod querieur. (CcCEur BP
linca in F, VE B F quadracum (IC
aequalc rectangulo DB B. d Per F,
ex C duCATUT reCta OTTY, OCCUI-
rens circulo DHIB in M, ex N. et
ex C ducatux altera CK, occurrens circulo AYC in F. e K. Facta Conttructio.
ne reprius. Duoniam per constructionem, P F quadrarum, aequale panitur rectan.
sulo DB, B; _ HC recta est tangens, crie F C quadracum, xquale b recrangulo L. 7. pr. 159.
MIGNI; Ced F C quadratum aequale est quadraris F CI, F L IDIEUT _L NT GNT FCCTaN-
sulum aequale e quadratis, P G, F. F: id est quadraro F, C, rna cum rectangulo
DEB; eodem modo octendetur PE R reccangulum, aequari quadraco F C, vna
cum rectangulo, AP. C. Vnde, cum aequalia linc recransula I. CrR, M CNY, dem-
PEO COMMUNI qUAdLAEO P G, CTUNE AF C, DP B recransula, incer le aequalia.
Divilimusigicur lineam A B in F, _C. Ouod crat Faciendum.
PROPOSITIO LXV.
Ac Huc dua AInex A ee BF. oporret BF linex, quandam L.C
adiscere, ut quadrarum A ad BC L rectangulum dacam habca
ractone L ad L.
Constructo  demonstratio.
Si2: quod Aec si data differentia excremarum BF.
_ media C. IIVENIRNEUE CXERCIX F C, CB. PCF
Andersomum et alios. Dico Facrum eNe quod De-
ritur. Ouoniam BC, C. FC dinex lune conci-
Elac ve D ad P, sc A quadratum, ad quadra.
cum C; dein FB lincx qua dam adiunsacue
E+V.
FC, VE BC, C FC, des hcinconcinua analo. B
AUX