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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 26, page id 1815201908:0083
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IN F A R Y M
alctis) igIEHEDE RMI SIvC DN ad MB, Sic LH live PM ad NB: Sed quia CA
dupla ponicur ipsiuS CD, crit e AB ipsus DN, ee CB iphus CB id eA recta
NTB dupla: Similicer quia CrFI linca, iplius CI dupla est, eric quoque BII dupla
linca ML; vei ex C+ B ipsius MB; Cune aute DE, MB; IM, NB octenlx pEO
LaECKID N, _ AETIaTUS, N L laceri xquale: R OrtuM Cs VEK FadTL, SICR MI ad MB.
AVE L D adDR, SIC F N ad __ M HEadTL, siC LD ad DR, (ex ance
portionales, erooe AB, BC, BHL, BC illarum dupla quoque inneproporcionales:
 ABC, CB FTacriang ea e se aequalia, cum circa communem angulum ABC.
X X X L1
IIdem Policis quae lupra: (s FIB C crian-
sulum aquale fuerie criansulo ABC:
Dico quadrarum GI, dimidix scilicer
ipsius C FI, aequale esse rectansuIOFDF.
Demonstratio.
OPOsttt0
15. Senri. Iacera habeane reciproce pption. lia. Ouod tuir demonstrandum.
1. 10. 211
Vngantur pantela 1LL1, CrC. aontam ABC
criansulum per hypochesin xquale cA crian-
sulo (B FT ablaco communi criangulo ABFI,
aequalia remanent criangula A CTTI; A CFI, vn-
de _ AFI, CC linex b sibi mucuo xquidiltanc.
e cum PR linea, bitariam sccet rectas AC,
FTC, extrpochelierit _ L. K; ips A FT par2I-
lela, e TKrecta, aequalis rectae DP: QuarC VE
DI ad TR AC FD ad D L, _ componendore
DR ad TK. (0 TF. ad DL: Sed CAt VEDK ad
K, HC L D adTC, SEVETL adDP SIC ITY
 aeuale quadraco CI. Quodctac monArandum.
OSITIO X
Ad DE; igicur ve FD ad CT, SC Fe  GP ad DF: ad eoque FDB rectansu-
Ato angulo ABC, d in.
eraillum puncto F, OpOr.
TEEPeF E rectam duCere, OCCUT.
rencem verimque ansuli laceri
Dus, EMlusleomencaminiuu
Concineane sectansuloru quod
seomentis cuiuluis lincx PeF P
ducta concineri porett.
Constructo cumonstratio.
ccaHC. Det Ladclabcelem A mbraclum esse quod peci-
EUE: aSQCUF enIM PCF F recta quaenis asta LR D, X HI. C L A rectanoulumnon lic
music DL PFecS, LGuaCFCCCaHSCIO A P. C, vel minus: primo SCCqua
Et Serri IC. OuOniamIBITIT A E. C, D E F LECAHGUta LInE InCEF Ce X qualia, CFIEVEDF c. 2c
AB, SIC F C adF C,  auen al st ad L. OpPolieiincer le aequales; isitur eriati-
gula AF D, F Fi, C suneincer le amna; adeoque angulus l A lis id est B C A ex-
8r6. Primi. ternus, aequalis angulo Mct CHH. Quod dherinon poreltiquare D R P rectan
sulum, aequalenon est rectangulo A F C.
 ca tills teclatisulo AL. C. PrOait. L L  
V
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