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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 367, page id 175905688X:0389
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=389
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000389.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.87
# 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.

lndec
AE QLL A XLOHILM RESOLUTTOHE.
17
Cibi inricem contigux, quarum exeremae prodeunt e diametricer-
minis A ex D, Colidum ex ipsis tribus lic ∞ 25200 Peu = 9. ec sum-
ma quadratorum carundem sic ∞ 2700 seup. Nam quemadmo-
dum hae cres inscripta cum diametro duobus modis firgillum re-
Terunei. d ueraque policione diameter duplicem quancitatem Cor-
citur, ita quoque ipla in hac rel illa politione reram semper radi.
cem delignac. Falla aurem, ipsis reris adae quans, exhibetur per dia-
merrum lemicirculi, in quo descripto supra diametrum quadrila-
cero, eria hujus reliqua larera diccis in scripris lumpea lnt aequalia
Ec ex Superioribus imanifectum est.
+ L1SY et
Eibiadrertendum insuperrestae, aequationem num ericam + (3)
D 13 (1) T23 d Girardo propolitam, non requirere ut radices
ejus hoc modo exprimaneur: cum in illa = (2) valCat - 43 - F L, ec
3, dc IPLa a quatiO Z (3) 80(2) - - 13 (1) - f 12 30Oper X (1) -)
A∞ O,eC PeF L (1 = ZDDO,HCCHON PeF F (1) - 3 000 diridi pol-
SIT. ICa ut duntaxat radices earum aequationum certix Forimulae
juxta aliquem praecedentium modorum opus sic exprimere, in
quibus constatiplas nec numero, nec Caidani regula explicar
Posse.
Cndedemum cum D. des Cartes concludere licet, ralorem r2-
dicum aequetacile, immo quidem Facilius concipi, cum ipse per
Tubrentas arcuum designatur, quorum criplum est datum, quain
cum perlacera certorum cuborum exprimitur; quorum non nil
concentum cognolcitur. Praeterquam quo d ad illas Tubtentas non
magis indiseamus aliquo charactere peculiori; quam V C. ad ex -
primenda latera cubica, de V ad quadrata. Adeo uc cubicarum X-
Guationum ralores radicum, qui nec numeronec per Cardani re-
sulas exprimi queune, allatis quidem modis clare ac distincte ex-
plicari possint.
Excerum ne quid hic delideretur, Sed etiam appATCAE, quo P2-
Ato hae Cardani reculae fuerine invenrae, lubet hoc loco afterre ea;
qua circa hanc rem acurissimus noster Fuddenius olim adinve-
ie, Mihique coram communicarie.
PFOPOnatuF ae QuatiO Z3∞ X - p7.
inrenire oportet.
Fq ec (ic Z quancitas, quans.
Donatur ad hoc Z∞ X = y. Fricque Z 30 ∞d-- 3WXy  3∞y7 - y3
EIndecum de Z aequecur = p Z. + g: erie similiter PZ = 4X
13 - d X N y- f- 3 X yy - y3