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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 361, page id 175905688X:0383
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=383
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.85
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# After the first blank line: the recognised lines in reading order, one per line.

Cc
eto
0.
e
L OUALIOAUM RESOLUTIOHE. 36C
Eodem modo, sI prO F N
ponatur x, atque ex HIF e
FN quaeramus P C, incide-
mus in eandem aequationem.
E quibus sequitur utramlibee
subtensam FMI vel FN quae-
sitae quancitati radicis x aequa-
lem ese. Flinc cuim X3) Xeque
TUE 13 (D = 12, TCU F (3) 8O
(2)  13 (1)  22 _GUICEUF O3
ac ipla aequatio diridi possut
Per I(E) = T∞O, _ PeF L (F)
3∞B necnot Per T (1, - 4 ∞0: arsuic id ipsum FMFore1.
ac vero FN 3. Porro quoniam aequationes huujus terria formula
aque ac lecundae formula eres admirrunt ditterentes valores ra-
dicis, quorum quidem duo simul Cumpri certio sunt aequales, it2
ee addendo duos reros + 8 Z, HetFallus- 4, seu quantitas lincae
FL. quae ipsIS NI F S FN simul sumpris octen(a elt aequalis.
UInde perspicua hunt ea, quae ab AIberro Girardo in libelto su-
pracitato allaca sune ad aequationum radices hujus certia formula
inveniendas. Ubi docet, illas ad secundum calum lecundae For-
mulae rerocandas else, convertendo tantum lionum numeri
obsoluriinsionum L: cum in iis sicut hic cubus trientis numeri
radicum non minor requiratur quam quadratum lemissis numeri
absoluti. Ac proinde inventis tribus valoribus radicis quaelIa,
licur in secunda Formula explicuimus, oporter tantum illos ex 0
auterre seu eorum lisna immutare, ut habeantur tres quaelici hu-
jus, in qua duo semper veri lune seu- quam o, _ tertius eA Fa-
Tus seu = quam o, quemadmodum est ostensum.
A L TUD PROBL E M A.
In circulo, cujus diameter A D, inscriptis eribus inaequali-
bus rectis lineis AB, BC, es CD, sibi invicem conticuis.
quarum quidem extrema prodeunt ex diamerri terminis A
es D: Oportet ex iisdem cognitis invenire diametrum A D.
Ponatur ad hoc AB ∞ a BC Db, CD ∞6, _E A D ∞X. jun-
CaB.