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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 99, page id 175905688X:0121
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=121
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000121.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.83
# 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.

de
1
l
L I B F R Y E R F F U 5.
sumproque segmento hujus axis, quod incer puncta L
V2
e D incercipitur, aequali
adplicanda cst longa re-
sula ad punctum F, ita ue, postquam ad purictum A
plani interioris quoque est adplicata, sempeF aneaE
adjuncta hilce duobus punetis, interca dum Parabola
secundum lineam BK, ad quam ejus axis est adplica-
tus, vel eleratur vel deprimitur. qua quidem ratione
Parabola atque regulae intersectio, quae tcin puncto C,
lineam curvam AC N delignabic, illam quippc qua ad
propolci Problematis constructionem indigebimus.
Firenim ca tic deseripta, si AatBL aqualis D E, hoc cA,
2V∞
on ita ut punctum L cadat in lineam BK, versus pat-
cem, quam respicit Parabola vertex, Tum vero in ca-
dem linea a puncto L versus B lumatur L II aequalis
Zyr Ec ex puncto FI, Sic invento, ad partem currx
AC N ducatur ad angulos rectos ipsi BK, linea TII,
2nn L
aequalis-
-
P1
un Annro Quam abbreriandi causo
n AC, Postquam conjuncta lunt puncta L.
de L, circulo L PI, cujus diameter IL, inscribatur li-
nea LP, aequalis V =
L pVV
in Pandemque ex centro Iper
punctum P, Sic inventum, circulus describatuE P CN:
secabit hic circulus vel tanset lincam Curvam A CN,
in tor punctis, quor sEquatio admiccet radices. Ita uc
perpendiculares, qua ex hisce punctis ad lineam BR
deducentur, Equationis huujus Fucura sint radices, e
nullam haec regula patiatur exceptionem neque dete-
ctum. Frenim si quantitas sadeo maona estet respectu
aliarum, p, g, r. F, ec2, ut linca L P major invenirctur
diamerro circuli II, Sic ut cidem inseribi non postet,
nulla icidem Cor et radix in AE quationC PrOPOLITA, quXe
HOH