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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 29, page id 175905688X:0051
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=51
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 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.
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# After the first blank line: the recognised lines in reading order, one per line.

nC in
aC.
em in
AenEil
L I D B R S E C U N D I 5.
2.9
ligno t nocatis, 00 fuisset aequalis 4 p m, live etiam
termmini mm _ 0 x; auc ox e  x x nihilo fuillent x
quales, punctum hocce C in aliam rectam lineam ce-
cidisset, quae quidem inventu difficilior non fuisset
quam IL. Sed lihoc non tac, punctum C reperietur CC
semper in aliqua erium Conicarum sectionum, auc in
Circulo, cujus una ex diametris lic in linca IL, e li-
nea L C una ex iis, quae ad hanc diametrum ordinatim
adpliCanEUE; vel COnETa, L C erit parallela diametro,
ad quam illa, qua est in linea IL, ordinatim adplica-
cur. Nimirum, SITeEMINUS = X X NON CCPCTIatuE, erit
Conica haec sectio Parabola; aE vero (. denocetur (i-
3noL, eric Flyperbola; ac denique li signo -, erit
EIliplis. Excepto tantum, cum quantitas aam est ae qua-
lis quancitati pZZ, _ angulus IL C rectus: quo calu,
loco FIliplis Circulus obcinebitur.
Duod si haec sectio Parabola existie, lacus rectum X-
quale erit- diameterque semper in linca IL. acque
ad inveniendum punctum N, quod illius verrex eAt,
amm
oportebic IN aequalem sumere
o2 ita uc punctum l
cadat intex L _N, si termini Fuerint L m m + 0 X;
duc etiam, ut punctum L cadat inter Ie N, si illi fuc-
rinE . L m m OX; aut denique ut N cadat inter I_ L.
s habeatur = m m  ox. Sed nunquam illic haberi
pocest = mm, comodo, quo termini hic sune politi.
Poltremo vero punctum N erit idem quod punctum I,
Ei quantitas mm nulla (ic. Qua quidem ratione inde CCC
tacile est invenire hanc Parabolam per Problema rmum
primi libri Conicorum Apollonii.
Duod s quaesita linea est Circulus, aut EILipsIS, auE
denique Hyperbola, OpOrcet primo invenire pun-
Etu