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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 114, page id 175905688X:0136
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TT4
EL OR TME OHDL DE BE AUN E
utrinque = a, aeque transterendo = a Z in alteram aquationis
PaTTCI: Z D aZ + b.
In Secundo exemplo, CiII y XGHATE = = a - L V = a F b, 2c
proinde y L L a ∞ V + a = L b:, erunt _ horum quadFAFa Le quLa-
lia, hoc est, y 2 f ay + = 4 ∞ = a f b2, e per conleguens
p2 ∞ = aY = bb.
Incertio exemplo, cum primo loco habeatur
∞= a - = V = a = b ideoque Z = = a D V : a =- b, CrUINES
horum quadrata aequalia, hoc eAt, Z - a Z +  a ∞ = A A - - b b.
unde dc Z ∞ a Z -- bb.
Inultimo exemplo, cum secundo loco habeatur
∞ = a = V = aa - bb, ac idcirco = a = Z ∞ V = a - b
erume ee horum quadraca aequalia, hoc eAt,  aa - a Z L 72
∞ = aa - bb, _ PrOPTerCa Z  ∞ a Z - bb. Dux quidem demon-
strare oporcebat.
IN C OMFOSETTOREM LOCOKUM P LANOKAM
ET SOLTDOKUM. P A6. 26, e sequent.
Elicquid in primo libro restat, nec non in lecundo ulque ad
Locorum Planorum e Solidorum compositionem reperi-
cur, incellectu latistacile est; quare ad pasinam 26 e sequentes
progrediemur. Vbiprimo nocandum, quod, habentes in aequa-
tione duas quancitates indeterminatas, quarum una licet proar-
bierio lumatur, altera tamen per eandem aequationem inveniri
postit, ita iplam ordinare oporteat: ut, liuna, puta x, ad libitum
Tumatur, altera, qua estr, denominationi terminorum ejus inser-
riat, siC, ut p unam constituat a quationis partem, et altera ejus
Pars ordiatur a cermino, in quo p sola line x reperitur, quem se-
quatur p cum x, e posteax line y, e tandem terminus, in quo
neque x neque y reperiatur. Atque impossibile quidem est alios
calus inrenire, quando quantitares indeterminatae y e x duas tan-
cum dimensiones habent: quanquam (xpissime contingat ex his
terminis aliquos reperiri nihilo aequales.
Deinde oblerrandum quoque est, si termini illi plures literas
vel dimensiones contineant, modo quantitates indeterminate)
dxduas dimensionesnon excedant, tacile esse, diridendo totan
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