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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 91, page id 175905688X:0113
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=113
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine
# Lines: 59 recognised, mean confidence 0.79
# 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.

6
dine
a
Acior
. Reo
ac
rdca
adeout
Lr. V
L, OUX NOB
Ouode
cs a
t
L F B F R Y E R X L U S.
Si itaque juxca hanc reculam inter lineas a ex g duas invensio
libeat medias proportionales inrenire, nemoignorat, duorum
CZ c
22
Donendo Z prouna, esseut a 2dZ, SC Zad =, 8
ita ut habeatur sEquatio inter g e
a
23 mediarum
ad=; proportiona
aa
EUEPOTC, Z3∞ X X
a a g. Deinde descripta Parabola F A CF, una cum
Seomento sui axis A C, quod est =, lemissis nempela-
ceris recti, erigenda est ex puncto C perpendicularis
CF, aequalis = g, atque ex centro P per A describen-
dus circulus AF, UE OBEINCANEUE FL _ F A, dux me-
dix quae(IEX.
lium.
Similicer si dividere velimus angulum NO P, SvC Rario divi-
aecum, portionemre circuli NOT P in eres aequales dendi ansu
lum in tres
parces; lisumatur NVO D E proradio circuli, _c NVP D 4 parces 
prosubcensa arcus dati, ac NOD Z pro subcensa trien- quales.
tis hujus arcus, exsurset AE quatio Z3 ∞ X ZZ -9. Ece-
nim ductis lineis N(, OO, _OT; siOS paral-
lela tat ipsi TO, Pacet, quod, licutNO cAt 2dNC
SICNO LEadOR, _ OR ad RS; ad eo uE, cum NO
Eic 2, _ NOZ OR FuTuIrA SIE ZZ, eR5Z3. Et quia
cautum RS seu Z3 impedit, quo minus linca NP, qua
ettqe tripla lic linex N9, quae est Z habebitur
933Z 73, Vet
∞ = 3.
9.
Deinde descripea Parabola F A G7, in qua C A sIE
aequalis semissi lateris recti principalis, si sUMatUE C. D
23, e perpendicularis DF X :g: secabic circulus
FAG Cy centro P per A descriptus, hanc Parabolam in
tribus punetis F, 5, _ C non numerato puincto A, quod
est ejusrertex. Id quod indicat in hac AEguatione ereS
haberiradices, nimirum duas C, R ex gk, quae verae (UIHE,
ex tertiam, nempe FL, qua est Falla; Acque ex hilce
duabus veris minorem e e illam esse, quam pro quaelica
linea NO sumerC OPOrteI. Alrera enim CR, aequalis
A 2
Cl