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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 316, page id 175905688X:0338
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=338
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000338.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.80
# 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.

316
E AE A N C E SCF d SCH OOTE N
quidem hic refero, ui vobis indicem, quod, cum Problema pro-
posirum non est solidum, si quarendo illud una viâ at sEqualio.
nem deveniatur valde compositam, tum communiter alia via
ad simpliciorem s.quarione m per veniri possit.) Modus aurem;
quoe ad Aquationem dictam perrenerim, calis etl.
TunsatuE FC, ductaque F. FI parallela ipsi C D vel AB, Po.
natur BD vel DC, ∞ a, FP, ∞c, BF ∞ Y, e DG ∞ v. Hinc
cum EFIaequalis sIE ip( C D vel DB, _ trianSUILIIM F FIC (.
mile erianeu loBDF: erit _ F G aequalis B F, hoc est, D y. F0.
dem modo limilia sunc criangula BG F. _ BF FI: unde eric, ut
BC, TCWa -L ∞, 2d : P, sCuY; ita BF, PCu Y L C, 2d F TI, PCV a
Acproinde ductis cum mediis cum exeremis in se invicem, fiet
aequatio inter yy = cy e a a - F a X, vel inter yy e - cy + aa
L A _
Non lecus, triangula BF D _ B F II sune Similia: quare, si tiat
uc BF, Ceu y, ad BD, scua; ita BP CCup- F5 ad BII; erie BH
ay. F ac
. Subdueta aurem BFI ex BC Peu a - - X, relinquetur
1IC∞=
. Porro cum B FP, HIF, e FL G rres linc propoi-
rionales: hinc si mulciplicetur B FI per HIO, hoc est, ay + ac
Per xy - a
erit productum a xyy = aCNy = a aCy - aaCC X9u2
de ei, quod Hc ex HI F. in se, hoc eH, a a; e per conlequens
Nyy - a9y ∞
+ac
ex) +acc, undcyy ∞ - c7. L
2CC
.Caeteririn
Cum