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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 134, page id 175906937X:0158
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E L. YM Y F L B u S
C A P u F VIII.
De sEquationibus quatuor dimensionum, venultimo
termino carentibus.
Prop. L. Xt - l X3- L MM X ~ X = p+ ∞O.
DEx transpolitionem est _t =l ∞ 3 ~ BF =MM X X. EIndecon.
sat, si x CA aequalis ip(I l, etiam X X X quarI
nm. hoc esto
x ∞ ; ideoque sit aequalis est ipsi , hoc est, lm ∞pp, eritra-
dix aequationis proposica aequalis sinsulis terminorum l de
M : 8
Si fuerine inaequales, unaquae que radicum aequationis propolitx,
Tircunam, siretres habuerie, semper erit inter hos terminos; led
si fuerint aequales, hoc est, Im ∞opP, _ IIm m ∞ p, Substituto
Ummlocop in aequatione propolita, ea que diris a per X = l, CO.
gnolcemus in hoc calu non haberi aliam radicem veram prae-
cer l.
Prop. 2. X4  lX3 = M WX X X = p+ ∞ O.
Pereranspositionem est Xt =M M X X ∞ p+ = I x3. EIude CON
34
stat, E1 suerie x ∞ m, etiam V C. aequariips x; ideoque si duo
termini m de V C.  sint aquales, erit radix aequationis aequalis
Cingulishorum cerminorum; sin vero ina quales fuerint, cricilla
necellario inter duos. Similiter per transpolitionem est x+-pax
mmXX =I∞3. CInde discimuS, qudd Six aequalis es ipsi p, Tore
Mm
MM
quoque eam aequalem ipsi: ideoque si cermini p XC =,  X quaII
tur, eric radix aequationis aequalis unicuique illorum; sed (in-
x quales tuerint, eric illa necellario inter utro(que constituta.
Prop. 3. X + - lX3 = MM X X X- p+ ∞ O.
Per transpolitionem eAt N = =L X 3 ∞ m M X X L p+, ideoque 
ajOs