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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 243, page id 175905688X:0265
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=265
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.82
# 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.

1aeil
2
eli
19
COMMLE AEARTE EN LTDEaNIL. 243
rum OMC, CBL, C:M SE ad MI C, hoc cMt, b - y ad X, uE
C B, hoc cA, Y, ad BL; erit BL, . Cui sIaddatuEK L DC,
Het R B ∞
bcy X p
Jam reco, quia, per TF Propnem libri mi
Conicorum Apollonii, in Parabola C R rectangulum sub dia-
metri legmento R B e
latere ejus recto d aqua-
tur quadrato iplius CB,
gua ad eandem dinme-
erum ordinatim est ap-
plicaca: hinc simulcipli-
CeTUF CB = Cy + X y
Per d,
erit aequatiotalis:
∞ dcb - d cy = a X 3
Unde nulciplicando n-
erinque per b - y, Aet
d0b = dcy. + dx y ∞ byy
-y3. Pactaque cranspo-
Ciione, uE d X y unam EeneaL XquationIS PAKtCM, exit
dxy ∞dcy = dcb F byy - y3. In qua si prOx Ponatur lumma
ipsi aequalis, habebitur d y V 5s - vv L  v y - y y, Ceu
Y d d55yy -- d d vv y y. L 2 d d v y3 = d d7y + ∞ dc y - d c b
Lbpy -y 3. UEautem aequatio ab alrmmetria liberetur, qua-
dretur veraque pars, tiat que tran spolitio ur quantitates omnes ab
una parte habeantur, inrenieturque.
L bb
76 - 2 b95 = d d  y + = + bcd 
 dacc
+ dd v0C
2dcd 2ddvC33 = dcbbC
d455d
y - dd c5by + d dc cbb ∞0.
Reliqua huc spectantia invenieneur à lin. 9. P28. 46. ulque
ad lineam ulrimam passinx sequentis, quae explicatione non in-
disent.
Duoniam aurem inventio harum linearum non Polum elesans
ac subrilis, verum eriam per se jucunda arque urilis existit: non
ingratum tuturum contido, quibus haec exercere rolupe est; (t
oltendero quo pacto in IIyperbola _ Parabola nec non in COon-
choide limcinrenienda.
TIh 2
Sie