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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 175r, page id 00068200:0351
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Comparando itaque terminostrujus aequationls, eric primo 3b =2,
unde b=-3: secundo 20--0, unde c 0; tertio ef 2b --2, unde
c=33 quareo denigue =0, ue prius: Ex quibus manifectum eke
cerminum a coefticiente c affectum aequationis quaelitae compoti
cionem non ingredi, sed solos terminos a coefficientibus b, et e
affectos, quarum ralores in equatione altumpra substicuci dabune
29
quaelicam lcil.
2a
=XVyta=x, guX detnIC Curram FOFL in
qua incercepta PAL est aequalis ordinatae MC in Pigura quadran-
qa
da AMC, ideoque per Lemma L. eric ejus Arca = XVy fa=
=aX; quXe, non competie portioni AMC, sed eandem excedie
coco spacio za, quod luo loco Fulius explicabieur.
Exemp. 2: FCO natuTA CVIErX ACS calis 2 p fay, ec inve.
nienda sic ejus Arex Dimensio: Ordinaca ad simplioissimam For-
nam reducta est 2=Vgf. 2. EE juxta praescribeum Regula primi
Problematis by. f.caj F.da Xay. fo.ux est aeguario eminoncer conci-
neris illam, quae detinic Curram quaesicam FOTI, (in qua PM
9ryaMC) ex qua aequatione inveniatur ralor linox PMm
jam explicuis hic ralor adequecur valori ejus datos liberetur haee
aequatio a fractis ex lurdis, ex dein termini rice inter le comparen
tur; exhris comparacionibus inveniesb , 6 15, d  e, hicoefacien
eium ralores in propriis locis substicuri dabune 3y = Zay-= 2a Xy F a
=xx, quae detinie Curram quaelitam FGII,, cujus intercepta Pet
est ryta; et proinde per Lemma 1.
Area quaelica=
6y f 2 ay 4aa
15
XV9 +. a 2 dX
Fxemp. 3. Determinanda, sic Ouadracura Figurae AMC cujus
L.o
proprietas est hujulmodi 2= - vgo -a: hic ralor linex PMt in y
et IB CXZOCB AILB SAIEOEA
mulciplicatus elt Vaby -a3; ubi maxima aismas culla u
CISI
axpoluis icaque porestatibus interioribus eum coeffi.
et
2
21
eellidsidae sllnt olot
lucmod ibanro osli es ciencibus