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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 36, page id 1815201908:0093
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  a m p11
36
L INF A R V M
27. Ferrii. Constructionem bifariam in P. Sc dimlIIS, CFUNE AC P, BC P anguli inter se a aequaleS,
b Per An
dersonium
alios.
O25. Sensi.
adeoque ansulus A C. B bitariam diuilus, sed ansulus ACB per constructionem
Csaequalis anoulodatot,  et AB recta criangulum consticuimus, eC.
ACOIOSITIO LIII.
ACO AnguIO ABC, rectamsubrendere, gux AB C crianoulum X-
quale constiruat, figita rectilineae C; sic Vr AB, BC laterum, dit
erenria Ciquaa X HI.
Constructio, es demonstratio.
F,TaEF F. D crianoulum ilosceles xqua-
le houra rectilinex C habens anou
lum ad verricem aequale angulo ABC:
habica dein media DF, _ Cxccltu CX-
TremAEUI FY; b INUCHIANEUE exEremX
AB, BC iung incurque puncta AC. DI-
cotactum cAe quod pecitur. Ouoniam
anoulo AB C, per constructionem equa-
liS CA AngUIUS E FD, SICAUECI VE A B
ad DE sC DF ad BC per constru-
ationem, id est F L ad BC, erir AB C
triangulum c aequale criangulo D F Fs
A id est per constructionem, Agurx recti-
linea C7: est aurem FI differencia late-
rum AB, BC; igitura LLDC Lecam subcendimuS; _EC. OUOd CFaL Facien-
PR OPOSIIIO LIr
AcO AngulO ABC, rectat lubcendere AC, ve ex B in AC; de-
missalinca BD, alts as Ploducat ADB, aequalem angulo ABC;
ablcindale; rectam C D, ad quam AB linca, datam habCAE FAEIOHCM
Construitio es Demonstratio.
Filac ve HI ad L, sC AB linca 2a HIHCAIM
FCr. daraque AB media, _ F C+ Cx-
tremarum ditterencia, InVenIRHEUE exEre
MX EG, FF: CTIE F C MaIOK FCCEa AB.
Ducacurigitur ex A linca A C aequalisre.
CtX. P C, Occurrens BC laceri in C, Tum-
peaque CD aequali ipB F G, iUngANEuE
Puncia DB. Dicofactum esse quod peci-
EUF. DUOMIAM EaM AC, F C linex, quâm
DC; FC Tunc incer (E a quales, CxiE A D
ia, aequalis reliqua F F. UatC AD est ad A B, VE AB ad A C: CsF auEem an-
per constructionem sic xqualis ip L C, C AL del F, IC AB ad DC, sCd
Quoderar Faciendum.
dum.
ad 1.
CAB, communis criangulis ADB, A C B; igicur criangula ADB, AC B
223. Sexti. lunc dincer le similia: angululque AD B xqualis ansulo AB C. Rurlum cum D C
AB est ad FC per constructionem ve EP ad I, isicur re II adI, sic AB est 2d
DC, vndeansulo ABC tella aemus ec. Duoderat Faciendum.
PARS
   t.     . e  1  ta  . 1  1 1 1. 1 1.  1  e  1  1.  1  . . 1.   ut     i