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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 246, page id 175905688X:0268
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=268
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.86
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2.45
ibipor amadrertere licet, si ex puncto P ceu dato recta
P C Cic ducenda, qua utram que sectionem rel carum contingen.
ces ad rectos angulos secet, sire ut circulus, qui ex P ejus interral-
lodelcribitur, utramque curram tangac, opis tantum esse ducere
P L, ita ut anguluS AP L. Cic Lemictis anguli AM C: Si enim perL,
ubi haec recta ipli XIL OcCurrIE, duCaEUF M C C ordinatimad
AO, hoc est, ipsi AD parallela, erit juncta P C secans quaelita,
sire circulus ex P interrallo P C descriptus utram que curram in
C continget. ut requirebatur.
Sic latus rectum AD ∞V, C MI vel AB ∞X, MI A rel BC. ∞y.
P A ∞V, _ P C ∞5. Ouoniam isitur per prmam Propnem, mi li-
bri Conicorum Apollonii rectangulum sub segmento diametri
MA _ lacere recto AD aequatur quadrato ordinatim applica-
ta CM: CFIEY Y D X X, vel
ry ∞55 = vV + 2 Vy - 7y.
substicuendo nempe 55-- vr
F 2 V Y mum y y In Locum X X.
Deinde quancicacibus omni-
bus ab una parte in alteram
tranclatis, ut y y sic adFecta
Siono F, habebitur xquatio
py + r. + V2
- 20) = 55 ∞O.
Ouam (I POrrO compares
Cum aquationC Y y - cy
F e e∞0, ubi y _ e TunEX.
nietur v Be. L = r, vel vu) F= r. Li quibus manifestum tc, ad
ducendam ecta PC, opus tantum else; diridere latus rectum
AD bilactam A puncto T, atque deinde allumere P M ipsi AI seu
ID aegualem.
Ouod si vero ipsa
tangens CT Sic investi-
Fanda, Poterimus, ut an-
te, Supponendo latusre.
Etum D r, C M ∞K, _
MI A ∞ Y, GURTerE A Y
∞V, eE AS ∞ s, hOC p2.
co.
Fiat
In Parabo-
la.
FR A N CTS CF a SCH OO P. E N
quales, conterendo nempe singulos cerminos unius cum lingulis
alcerius: nimirum, secundum + r - v cum secundo - = e, inre.
II
AC