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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 196, page id 175906937X:0220
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=220
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000220.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.88
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

Per 15
sedebi.
7 per 16
quinti.
per 17
quinti.
6obto
20 per 27
quinti.
196
quee aguasta ca, utporehabentia larera cipea
communem ansulur, reciproca. Ouod est secundum.
AC cum permutandor
quoque (iE C A ad LA, uE
AK ad A HI: erit ex
diridendo C Tad IA, UF
RFT2dFI A. Ouod est
FCTEILIM.
Porro cum ab aequali.
bus criangulis C A HI,
TAK ablato communi
quadrilatero IR HI A,
relidua, nempetriangu-
IaORIDEK RES, quoque aequalia FeMAnCAnE, crunE corun-
dem latera circa aquolem ansulum ad R reciproca, id ett, erit
CR adH HI, uc K R ad RI. Quod est quartum.
Elndecum componendo ro quoque sic C FIadR FI, ut R Lad
RL, auc, sumpris ancecedentium dimidiis, C H ad HR, uc F. L
i per Co. ad lR: etit ex per conversionem rationis  CII sive 6 C ad
roll. 10
quirssio
CR, uE F IsIVC KP 2d F. R. Mmod est quintum. Arqueita de-
monstraca sunt ea, gux proponebantur.
L H E O R E M A IZ
Propositio 10.
Ductâ quacunque in Flyperbola diameero, crix ut
quadracum secunda ad quadracum eransrerlae diame.
eri, live ue parameter ad eranverlam diametrum, ita
guadracum cujusibet ordinatim applicata ad rectan-
sulum sub ejusdem diametri partibus; uErogue rran
verlae cermino ex applicara intercepris, comprehen.
CLII.
Sit in TTyperbola BCD, Cujus ASyMPEOT AF, AF, ducta
diameter utcunque P A C. N, cujus secunda diameter eranlverla
PC conjugata siCC C HI, Parameter vero C I, ipsis nempe P C,
CHIrerrin proportionalis, dc sic ordinatimm ad dictam diameerum
appli
E L E M. C E R Y A R B M
Ber 25