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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 398, page id 175906937X:0422
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=422
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000422.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.92
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

398
DE CON CLHN ANDES
Ductâ CC ipsi B A Parallela, donec occurrat rectae IF C ipsi
DC parallelae in C, junsatur B, secans DO in F.
Quoniam itaque, propter limilicudinem rum D AC d
TAE, GA est ad AF, siCuE C D vel IC ad IF; ac ut IC ad
TF, ita quoque est, propter similicudinem arum BIC, _BDF,
lineam que BF. in utroque limiliter ductam, DF ad DZ: erie
etiam GA ad AF, SICUE D F ad DZ. ANUmatur jam Forin-
secus linea D C. Hlinc cum rario D F ad D Z SiE Compolita
ex ratIOnC D F ad DC vel IC, Sire BZ ad BF, _ ex ratio-
ne DC ad DC: erie similicer ratio C A ad A F COpOLIEA ex
ratione BZ ad BF, X ex ratione DC ad DZ. Quod erat
Octendendu.
Idem paricer de 2d0 D F OL EM L. L Theoremate aliisque Cimi-
libus est intelligendum.
rude constat, praesupposua Alcebrae coenitione, haudqua-
quam necessaria esse existimanda, quae de Rationum Locistica
communiter traduntur, non maris quam si ad cuju fvis generis
quaestiones per Alcebram solvendas multifaria addiscantur
Theoremata: cum ex invenire illa ex demonstrare ipsins Al-
rebrae sit munus, quam quidem excolendo non modo incenium
exercetur, sed res ipsa funditus ernitur, citra eam vero saexissi-
me illa ipsa Fheoremata non satis felicirer adhibentur.
P R O B L F M A.
Lacifundii A B C D cognitis omnibus laceribus de
angulis, ab eodem datam portionem resecare, li-
ReIS PF, FC, GTI, S TIE latifundii laceribUS AB,
BC, CD, _ D A Parallelis, ex ab iildem pari ubique
incerrallo dissitis.
Junctis AE, BF, CG, _ DFI, deMICTANEUE ex F, F, _
E+ super AB, BC, CD, _ D A perpendiculares FL, FL,
FMI, GNI, GO, _FK; ac ex D super G, FI _ HIF perpen-
diculares DP _ D.
Duoniam itaque in rectansulis triangulis A IF _ AI P. qua-
drata