134 



quQc^ diactum in Xn dabit secundum membmra nostrae ae* 

 quationis. Pio altero membio ciim sit 



^ =: — 2 B sin. <P — 4 C sin. 20 — dDsin.acp — etc. 

 ok 2 sin. i(p cos, <p 1=1 sin, (i—i)(p-\- sin. (i-h't)(P erit 

 — — ^^— =:-»-nB 5111.2 -+- 2«C sin. 3Cf) -h 3 ni) sin.^ipetc. 

 -ir 2n(2sin.(P-i-3nD sin. 2 (P -h 4. nE sin. 3 (p h- 5n¥ sin. 40 etc. 

 duodsi nunc singula membia seorsim niliilo aequentur, 

 orientur sequentes relationes: 



(2 A— C)X«-.-2B-f-2ttCr=:o; 



(B— D)â« — 4C-i- «B -+-3/1D — o; 



(C — E) A» — 6D -1-2 ;iC -h 4nE 1=0; 



(D — F)X« — 8E-h3rtD-h5«F:=:o; 

 et ita porro. 



In his aeqnationibus ternae litterae majnsculae occiir- 

 runt, unde quamlibet per binas piaccedentes sequenti mo- 

 do delerininare licebit : 



T\ 4 C — n (X -4- ■ ) B 



n(i — X) » 



Tf 6D — n (X -t-i) C 



'^ — n(4 — X; » 



■T' 8 E — n (X -+-_j) D 



^ nfî-^'Xj * 



etc. etc. 



Quodsi igitur invcnti f^iierint \alores litteiarum A et 

 B^ tum ex; lis successive omnes séquences C, D, E^ F, etc. 



