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# Title: Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica (shelfmarks Leibn. Marg. 9a; ZEN Leibn. Marg. 9a)
# Folio 24, page id 73061350X:0032
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Ducancur paraHlela FF, OII, aequalicer sictanres paralle-
lis laceribus erapeziiaB, DC. Inproduct AB per B, Cum2.
cur BIaequalisipsi DC, ehilecetur AI in R, lumacurq; EL, ~-
qualisip (I AR. Fiac deinde angulus LEMae qualis anguloZ
ita uc ducta EMiplam CTIlccerinM, ec compleatur paral-
lelogrammum LEMIH. Idenim eric, quod quaritur.
31. Datotriansulo rectansulo ACB, gnadracum hy.
Dorenna ABitasccare, ut perpartes conoruat quadra.
tis cathecorum AC, BC.
F. Modus. Juxra disoramma cheor. 26. secetur quadra-
cum hrporenulae ABCF in rectangula bina, guorum AFHIE
per probl. 26. congruenter eransmurerur quadraro ipsius
AC, e per idem 26. probl. rectangulum BF:IC conpruen-
certransmuretur quadrato (B.
2. Modus. Construatur Cuper ABhyporenusa quadra-
cum ABED, icemgs criangulum AEB darorectansuloerian.
guloACBconOruum; relecetur BC xqualis ipsi AF, duca.
TUrG: RC. POSerianDUlA ABF, BEG, CX qUadraTO ABED re-
secta, collocentur, uc ordinare congruanein ADI, DFHI ec
producatur BF, doncciplam DI, Circiphconsruenrem, se
cecinR. Frie quadratum in AIKF conoruum quadrato ipsius
CA, _ quadratuOKFIF, congruuquadraco ip(IuSBF, (IVeBC,
32. Dacis duabus rectis AB, CD, communem carum
menturam maximam invenire.
Amajore AB, extermino A auteratur ip(iC D aequolelc.
omentum, aucxequalia, quorpossune, lesmenca, icaucul.
tima relectioscE; sireur remancat legmencum FB, minus
ipSa CD. Rurlus ex ipsa C.D, ex termino C auteraneur ipAI
EBa qualia, quocpollune Cegmenra, donec remanear FD,
minoripsa EB. Rursus ab EB, excermino E, ipAFD aequalia
quoc poslune, Ceomenes relecentur; e hoc alternatim ton
tiestiae, donecrelnihil, rel nihil sensile remaneat. IIci
mum enim lesmentum Are reliduum, erir ueriusquecom
unis menturaarimZYes accuraca, vel quanrum ad ler-
sum.