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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 315, page id 175905688X:0337
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=337
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eAt Dr
Aen
COMMENT ARLE EN LIDRaMIUL.
315
quandoquidem radices aequationis ZZ L 5 Z - F 14 72O tan-
cummodo suncimasinaria, ee xequatio impossibilis) ideo sumili-
cer nullalinea, cujus longicudo sic 4, per punctum B duci, aeque
a rectis C A, C D incercipi pOtTIE.
Eaeterum, ne quid ad penitiorem intellectum harum regula-
rum, quibus hic in reducendis ac diridendis aequationibus ult si
mus, deticiat, risum fuit sequentia adjicere.
Tlinc si, exempli causa, aequario reducenda (IE ∞ + X - p X X
qN-  ∞ 0, inrestigare oporter ex quibus binis aequationibus
produci queat aequatio, quae reducendae similis existit. Ouocirca
cum, supponendox x - L y x - L Z ∞ OAC X N  y X, L V ∞ O, Cx IMU-
tua harum dluarum mulciplicatione producatur
X + X - F Z ∞ ∞ = Z) X FVZ ∞O, XQuaTIO CIMILdCI FOYIA CUIM PFO.
L V
+V;
Polica, elicio indetres aequationes dirertas: nimirum, Z - py L v
∞ -- p, - Z7- f vγ ∞ -9, X VZ ∞r. P quibus deinde, (1, ad in-
veniendam quantitatem r, in locum Z de v subrogentur carum va-
lores. Lyy = L p +  ec : yy = = P = =, 3 CMEFGCL a quaLIO
6 - - p y + + pB
=a, 77 =993 O, TIVeNEA AUFCM GUAnEILaLE Y, 10CO
AUATUI PTRCEdENEIU _QUaTIONUI N N F y X F Z ∞ O aC N X -
yX F v ∞ OCcribo ha(ce duasX N f. y X - L = y y - = P -  = ∞0 dC
2P-
2, D O. EF Patet quaesitum. Idem pari-
cer de caereris aequationibus, quorum signa ab allatae signis lunt
diverla, estincelligendum, e quibus omnibus postea inter se col-
latis dictarum regularum reritas penitus elucescit. UIbi etiam li-
quet, siralor ipliusr yper dirisionem superioris aequationis Cu-
bicae inveniri possie, Problema, quod ad aequationem propo(itant
x +X = pX X =qN - F Y ∞ 0 perducitur, Forc ommino Planum; (In
minus, illud ipsum eunc esle solidum.
Denique ex his quoque emanat, quo pacto re sula generalis re
ducendi omnes aquationes altiores, p15. 84 ab Authore addu-
cta, intelliginec non ad praxin rerocari debeat.
Cum alias, si pro ea sapponeretur DC, mulio difficilius ad
quationem, sed quae simplicissima foret, per veniremus. Quod
R P 2
qui
P