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Fasciculus II, continens additamenta ad Fasc. I, inter quae Vaumeslii, Duilierii et Hub. Huighenii epistolas / ex manuscriptis in Bibliotheca Academiae Lugduno-Batave servatis edidit Petrus Joannes Uylenbroek
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OR:OS=PH:HX , sive tzJÜL :?Zl=:e: e S°Z?.)

a o b {X n )

x n mx a e (nix )

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^demaPdex

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