( 27 )
OR:OS=PH:HX , sive tzJÜL :?Zl=:e:“ e S°Z?.)
a o b {X — n )
x n m—x a e (ni—x )
OR:OT = PH:HW, „ —^ —
a c c(x — n )
OR:OU = PH: HV , „
x — n % q-
■ x
. ae (9- x ): e ' d(x~n).
a d
Itaque rectarum HB, HA, HL, H M, variationibus suis affec-tarum sequentes erunt valores:
BH + HP = a + «
AH-~HX= b <*eo-aex
LH — HW= e
MH-HV= d-
6
x —
b n
a e
m —
a e x
c
x —
c n
a e
9 -
a e x
~ d
x —
d n
Qui si substituantur in aequatione curvae naturam referente , nempe in
abc + abd-\~acd+b c d— C ^
S
sequentem obtinebimus aequationem, neglectis nempe terminis se-cundi, uti vocantur, ordinis:
+ bcd-i-abc~{-abd~\-acd+bce + bde-^-cde
ab dem — abdex+aïbem — a^bex+a^dem—aPdex
ab cd b ede 1
—— H- .-
s s
a* b d em— a* b d e x
cx — cn
i cgx — cgn
ac deo — acdex -\-aPceo — aPcex+a^deo — a^dex
\ aPcdeo — a^cdex
b x — b n
i bgx — bgn
abceq — abcex + a*beq — aPbex •+• aPceq — a^fiex
| aPbceq — a^bcex
dx — dn
[ dgx — dgn j
Quia vero
Jcd+aie + fl! id + ocrfs:
ad c d
D 2
ii
II
II