5>i 



sit b -f c > a -f- 1 j 2^) ut sit h < a ., 3°) lit sit c <:a. 

 Prima aiitem çonditio praebet 



.5(a-|-i)* — 6(a-\~ i)v-\- 2in^ ":> aa — i, 

 qiiae transmutatur in hanc ,: 



9 (a -h i)- — 1 2 (a H- i) y -f- 4 r i' > a a — 2 a — 3 , 

 seu extracta radice Qv — 3 (a 4- 1 ) > ]/ (a -j- 1 ) (a — 3), 

 idcoque t^ > '''■''~^'^— ^(a-f-iKa — 3) ^ ynde gemini limites 



concluduntm- 1-) v > il^±lL±2'FEME^-^ 



Soli ergo valores intra lios limites contenti excluduntur. 



§. 34. Seciinda çonditio, qua b < a, praebet 



(4rt-4- j)(a4- 1) — {i^a-\~ 2)v -\-vv <,aa — o, 

 quae transformatur in hanc : 



(2fl-f- 1)- — 2(2a -f- \)v -{-vv <,an — 2a, 

 hinc radice extracta fiet 2;<2a-f- iH^Vaa — 2a, unde 

 iterum duo limites stabiliuntur, scilicet i^<2a-+-i-i-raa— 2« 

 et i'>2a-f-l — V aa — 2a- unde sequitiu: valores ip- 

 sius V intra hos limites accipi debere. 



5. 35. Tertia çonditio postulat ut sit c <. ay unde 

 prodit (a 4- 4) (a -4- 1 ) — (2 a -4- 4) v -\~vv <aa — ay sivc 

 (a-f-2)^ — 2(a-4-2)i' + z;r<aa--r2a, ideoque 



f<a4-2-f-/ao — 20 et i;>a-f-2 — V aa — 2a. 



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