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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 378, page id 175905688X:0400
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=400
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 67 lines, status machine
# Lines: 67 recognised, mean confidence 0.84
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Duo pacto
176
A D D EVE A, IL E N Y U M.
Ouod lanc tieri non potest, quandoquidem umbrae baculi A
verinque non sune aequales. Elinc, cum pn, hoc ett,
CIF∞ = PP F P9, SCUPP ∞9P -
16Y3 ReCHOMP∞ = 4. ]
43
143
368443
26824. cujus radix estp ∞ ; 9-
16Y3: HeE prOP A = g
16Y3 d =g.
16Y PIO AG. Unde porro innorelcie P A esse adt A Q, liCuF
3 - 5ad V 3 + 5.
Jam si in EIlipli primam obserrationem maturino tempore
cognoscatur ponamus factam ese, _ P Q, ue ance, lineam meridianam deli
primam ob. onare, aeque baculi A umbram, motum Solis insequenrem, a P
servatio
nem macy. Per Pcransiisse ulque ad  (quo tempore Sol humillimus exi-
cinocempo- Cens mediam noctem efficit): erit B ex eadem parte lumen-
renon fuisse dum qua punctum C, non aucem qua punctum F. Ouo polito,
factam.
Ei per modum praecedentem quaeratur ae quatio, HCF P P n n ∞
6799
160 Pn-
14394
: in qua numerus ablolutus major est quadrato
semissis numeri radicum. EInde, cum nulla sIE linca, quae Aqua-
tionis hujus radix esse Post: liquet, primam obterrationem ina-
tutino tempore non contigisse, led ante mediam noctem. Sicut
inicio fuic suppolicum.
Deinde, Siponatur, umbram baculi A descriplisse lTyperbo.
768 PB - 1439+
3072 Dua Cum
bram non lam, InVenICEUF R quatiOPPNN ∞-3359G
nullam admietae radicem, qua proposito convenire possic, indicio
est, umbram non descripsise IIrperbolam. Fodem modo osten.
Parabolam. dicur ip lam non descriplisse Parabolam.
Poltea ad inveniendum r, latus rectum FIlipleos, guaeratE
AM, ut sequitur. Ouoniam subducendo MO ex A O, hoc ett
20 - q ex p, relinquitur = 2 PP F 2p9
2p =9 3 PrO A M: hinc si
+DB - 3 pqs
loco p substituatur : 9 1 79
794
16Y 3
4999
16Y3. ante inventum, et = 44 +
768 loco PP; Het
1439
TIZVZ PTO A M. POrrO, PolItO
baculo A∞6∞c, erit AB ∞ 33∞ =. (eAt enim ut 6 4d 33.
Teu 2 ad F2, SIC 6 2d ==). a cujus quadrato 1210
ps
S auferatur
dua ratio-
ne innote-
eat um-
daser ipsesse
Fyperbo-
Mum, au
Duomodo
veniatum
latus re-
etum per
Fllipsin.