62 Opuscula . 
la XT, XZ, & qux pofitiva , & qux negativa funt , inter 
fe ^equentur , & fimul omnia fe dellruant , atque in toto 
corpore fiat/XT.^M— o, &i fX Z . d M ~ o ; erit etiam 
Z' -h r.m r= o : fcilicet quantitas/Z^ + Y\dM vel maxi- 
ma erit , vel minima . 
His pofitis redeamus ad motum corporum , & ad prio- 
rem xquationem motus /T^-hZ^^.dM ——.fXZ.dM . 
Quia coordinatx X, T, Z in fig. lo , & n funt exdem , 
ut conftrudionibus inter fe invicem collatis patet , fi valo- 
res quantitatum /T^-l- -^''.^M , & fXZ.dM fumantur ex 
formulis VII , & VIII , ac pofterior hxc quantitas ducatur 
in — , pofito n"- — f z=z i , fiet primo {n^ ~{- m'' f- 
^m^q^^A—A, & {m^ i'^ f -\-n^ q") B — B . Dein- 
de evanefcent termini , in quibus occurrent quantitates C , 
' & D. Eritinfuper — (2 ;;?/|H-^^ — ;;?^^) E ~ — 
ac pariter — {in^q H-y- — -^/f) F = — Qua- 
re colledis terminis prior illa aequatio abibit in hanc aliam 
Pariter cum altera xquatio , quae corporum motum de- 
finit,fit/r+Z\^M= ^./Xr.^fM, fi valor fumm^ 
XT.dM ex formula IX acceptus ducatur in fiet pri- 
mo (n^ -\-m^f-hP2^ q^) A — A, Sl ( n^ f — m^q^ ) B =: 
fB . Deinde fupererit terminus q^ C , eritque — (imnq^ 
H~ V"^^ — mn q"-) D — q"" D . Supererit etiam ter- 
minus — mp q E , ac fiet denique — (i n ^ q -\- M ) ^ 
— — ^q^^^IL, f. Quare cum fit ^ := -f- . ^ , termi- 
nis omnibus per p q divifis fiet altera motus jequatio 
X_|_JL.A-i--^.B-|- X.C— '^.D m.^-^'-±^.V. 
q p q P ^ " P _ « 
Bmx aEquationes hujufmodi pro binis angulis , qui po- 
fitionem axis determinant , eicdem funt quas invenerat Eu- 
