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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1225, page id 1815201908:1282
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125
QY AD R AY V R A AXLL2.
Constructio e demonstratio.
CF. GF. DB, qua aequales ancosples Loceleplate, quoniam vere
nocdel proporrio seomenci C LF C aalcomentum GFBD, Sic ca O ad P, _ 31+7. ht
DFOdUCANEuE FG, F C, in R _C O, VE CE, GF, sinE ad RR, O F, ve O ad P. in
Tum per A, R, O describatur hyberbola, curus axis sic AB: cricigicur b eam lV. B 175. hy-
perbolc AO F adhrperbolem AGF, ve OF ad GF, hoc est ve P ad O, e hv. Perb.
perbole AKE adhyperbolem AC F, ve KB ad C L, hoc cA, vE P ad O. Ouare
eciam reliduum segmencum K P. F. O eric ad logmencum reliduum CF HC, Ve P, 2d
KH LO. CFDD aguaa. Dacate ad R, C6, V. IC.
omencum COmdius est C legmenco OD, Sed segmeneum K O maius es sESMEHEO CL + 8. B1S
C9, vei Facile demonstrabitur ex 175. libri de hyperbola. Ergo legmencum K 9 im.
mulcomaius est (egmenco C, D. Ablcindarur igitur ex legmento malori R O les
omencum RR aequalelcomenco CD. Monseoqua leu
figura hyperbolica COnFeNEA AECU O R ex rectis RK, O K xqualis criangulo XE B.
ducacur demum subcensa OR, _ rectangulo R R O, aufcratur exeriongulo X F 1
patse    B Clo hspetboHcoOA.
Ichyperbole ACDB, cuius axis sic A B. Ducancur ad axem ordinatim rectae
O. hoc est velcomencum C aemenum CT. LO. Tgenca iue
e subcensis RR. O R concinerur; exceltus segmenri Rsupra legmentum GD.
Jam vero Gata legmenca RLL, CFBB oltendi elle acanasguoecere-
Bmencum KO superar segmencum GD, eodem a crapezio EDB F lupCraTUF EFA.
Dexium K O FF. exhibeacur ille per elemenca, arquerriansulum FX B Pric ergO
C3
quod lufficie ad hyperbolx quadraruram.