54- BE FRACTIONIBFS CONTINFIS OBSERV. 



diei — {pi-\-s)di—{n-\-ss)ei—^sS'\-2.ms—Q.ns — KZZ.o 



etc. 



§ 40. Vlteriiis igtur pergendo poni debebit ; 



ai:iLm-\-n — s-\- ■ ^- 



^ I — ;;/-f- « 4- i -i- '- rz 



cizi:fn-]-?i-i-3S'\-' Z . 



etc. 

 Atque ex his fubftitutionibus emergent hae aequationes: 

 <Z2:/^2 — (;;/-3.0^2 — (;;+3i)<^2 — 9jj-i-3?;/i— swi-Kzzo 

 bze 2 — {m-2s)b2 — {7i-\~^s)e2--9SS'\- 3 w/i — 3 ns—Kzno 

 f 2 d 2 -~{m—s) e 2 — {n+ss)d 2 — 9 ss -\- 3 ^is— :ins—K—o 



etc. 



§.41. Si nunc hae fubftitutiones continuentur in in- 

 finitum , atque perpetuo fequentes yalores in praecedenti- 

 bus fubftituantur , litterarum c?, (3, y, <5",etc. valores ex- 

 primentur fradionibus contmuis fequentibus : 



<tzz^-f-a— y-t-^ ^-^ 5-4 -77 5-4- >t 



m~+-n^s-^^ ss~^m s -i-rns-^ y. 



m-t-n— S-+-C 5s— - ms-i--ns~+-x 



wi-4-n- j-^-jj6££-+ m S-+- ^ rz 5_4_)c 

 ^^mH-n-+- J-f-^J^^TnM-nM-Jc 



' Tn-t-n-4-^-f -' ss— 77U-4- . ns-+ -x. 



m -+- n-4-s _j_M_6££^ vm^-f- xns-+ -M, 



m-+-'i-+-s-^f^<^' 

 .^'^;— Tn-+-r.-t-3S-+ -s.y-Tns->-w?- f->t 



TT.-f-nH-sSH--^^- 



m-H^-t->^-+- ss — -m ? -|--ns-f-)c 

 m-f-n-f-,s-+- tf.c. 



quae fradliones continuae fitis funt fimiles iis, quasBroiia- 

 ckems dedit , cam lequentes in praecedentibus non conti • 

 neantur. 



§. 42, 



