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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 199, page id 175906937X:0223
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=223
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000223.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.89
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

B. L. C A P. II.
E H E O R E M A Z.
Propositio TF.
St Guaelibet cors ls cuicunque Flyperbola dia-
METTO OCCUTTaE, acque a puncto conractus recta ad
eandem diamerrum ordinatim applicetur, crit rectan-
gulum sub diameeri portionibuS a CeHEEO PEF CONEIM-
sentem applicatam que ablcissis aequale lemidiam ecri
exanlverla quadrato.
Ouamcunque Fyperbolam R C, cujus ACyMPEOLi AD, AF,
contingat in puncto C urcunque lumpio recta F. C F, A(ymPTO-
tiS OCCuTrenS in F d F, diametro aurem A HI urcunque duetx
in L; ex per punctum con-
tactus C ad candem dia-
mecrum ordinatim appli-
cata sIE C. II, que produ-
Cta AIYIMPEOTO OCCUETAE
in M. Dico rectangulum
IIAIaequaletore quadra-
eolemidiametriK A, CIVC,
quod idem est=, continue per 17
proportionales ense LIA, serri.
KA, _TA.
Ductis enim D HC
applicatA CHI, _ RL
contingenci FF paratlelis, notatoque interlectionis puncto R,
cum sIE = R C ad C F, UE R K ad KD, hoc CA 3, MG ad MI F, = per ZCOr.
UEL E adLD: erit quoque + NO ad CF, uEL F ad E D. Oua- Sexti, 8 9
hujus.
re cum porro s sc FG ad GA, UED P ad F A: erit 5 CX XGUO 3 per 2sextI
MO ad O A, id est Z, FTR ad R A, uEL F ad E A, hoC eA , UIE + per compo-
KI ad IA: _  componendo HL A ad R A, uE K A au I A. sitionem ra-
Ouod demonstrandum crat.
tionis con-
vium ad 18 Q vinti. 5 per 9 hujus. 6 per 22 Q uinti. 7 per 2 sexti. 8 Per 2 sexti. 3 per
18 Quinti
trariam.
ville Cla-
HIEC