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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 80, page id 175905688X:0102
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=102
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.80
# 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.

80
C E O VE F Y R X AE
illic fuerie -  g, sire - 9. semper camen hic ponendum
CA - 99, ec 1 pP. Calcem li x+ Xy Signis- L nOcata sup-
Ponantur. quippe contrarium Aeri deberet, si suppone-
retur ibi signum. .
Exempli causa, sihabeatur L x+ X - + X N - 8 X + 35
00 scribendum ejus loco est g -- 8 y - 1247y - 64
∞0. Cum enim quantitas, quam nominavi p, (IC - 43
vonendum ek = 89t pro 2 pyt. de cum illa, quam vo-
 16
Cavi r, (IC35, Ponenauum C(t = 140 γγ hoc CA, = +24yg
PP
l0c0 +. Vy. FEdenique cum q sic 6, ponendum est-
64, PFO- 99.
Fodem modo pro -L  X+  - - Y7 X X = 2O X - 6∞O,
seribendum eAt -Ly - 347t- 7- 31397- +00∞0. Nan
34 CA duplum iplius 17, ex 313 est hujus quadracumjun-
ctum quadeuplo iplius 6, 8x 400 est quadratum ip (uS 20.
Similicer quoque 10c0
74 X  244 99 a y = 16 a ∞0,
C6 a66  a a66
scribendum eAt
16 + a t = at
a
2cc + a y9 - at CC ∞ O.
Aa C4
quippe p Cst + = a A = c6, _ pp CA + a+ = a acc + 
ec 4Y CA 3 at F a a CC, aC tandemm - gq CA - a
2 a CC  a aCt.
Postquam igitur sEquacio sic ad tres dimentiones
est reducta, quarendus est valor iphius py, methodo
jam explicatâ. Ouods vero ita inveniri neguCaE, non
opiis erir ulcerius progredi. Infallibilicer enim inde
sequitur, Problema esse Solidum. Sin autem invenia
tur, pocerit ejus beneticio Aquatio praecedens in duas
alias diridi, in quarum utraque incognita quantitas duas
tancum dimentiones habeat, quarumqueradices ab il-
liit
e
al
p
2
1
C
1.