ii8 DENVMERlSA.mCABIL. ATQJ^E AUIS. cet. 



fed in tabiila fiipcriorl nuUiis talis d:uur ; daretiir autem 

 fbrfan , fi ad niaiorcs nunicros cad(ni dlet extcnla. Con- 

 fugiamus igitur ad praxin p.iu'lo antc(§ 23. ) delcript.im, 

 cuuis du^u fi ponam c(fc A — 3 B ■ A r^ 3 ' B • A — 3 ' B , 

 etc. n.isquam inucnio numcruni alic)ULm , qui quacfito latisfa- 

 ciat •, vnJe prob.ibilircr coucludo , nullum numcrum A talcin 

 dari , qualis ad conrtitucudos amicabilcs n\ hoc cafu eft nc- 

 cenarius. 



Exrmpl. 11. S tPzns ,Q=r 1 1 , vt cuadat R = 71 , critquc 

 A -.^zr^Ta : 1 26 — 4 : 7 , quac ratio cx tabula liipcnori ohtinet 

 in numcro 4; cl\ igitur A^i-f, ct qu.icfiti duo fuut VQ_A=z 

 5.11.4—220, ct RA=-7i 4~284i i.]m A i^icbootctiio 

 funt rcpcrti. 



E.Xi'nipl. III. Sit P:ii5 ,0^=: 137 ,crit R— 827 , ndcoquc 

 A :<r:r82 8 : 151 2—23: 42 ; lcdialisnun.cms cx tabula (i'pe- 

 riori dcprchcnditur 92 ■ crgo A zr 92 , ct quacfiti amicabilcs 

 funt Cqucntcs , a Cclcbcrr. Eukro cu.\m intci' plurcs alios 

 repcrti 5. i 37. 92^^827. 92 qualcs (iint ctiam (cqucntcs, quos 

 adhuc addo , cidcm auclori dcbiti , ct imparcs quidcm. 



Exempl. IV. Sit P— 5 , (^zz 4 1 ; crit R — 2 5 1 ; vndc A : a 

 r=25 2 :45<5— 21 :38 , aut 21 (71:1 3 8 A. Pouatur A~ 

 49B, \t fit i?::^ 57^, aK:1i'C crit 21. si b— 38.49B, vel3. 

 Slb— 38. 7B \ fit porro Bn 9C, vt habcatur />— 13^ , ct 

 3.57. 13 <;^ 38.7- 9C , vcl 131-— 14C , fiuc C:f— 13: 

 14. Igitur C=ri3,B— 9C=Z9. 13— 117, ct A — 

 5733 ; cx quibus clcmcntis prodcunt numcri omkabiks impa- 

 reshi, 5.41. 5733 ct 251.5733- Idcm numcms protlit 

 ctiam , fi in acquatione 2 1 fl— 3 8 A fubdifuatur A ~ 21'B , 

 Vt fit<7— 741 d ; cx quibus oritur 21.741^—38. 21'. B , 

 vcl 21 19. 3. 13^— 2. 19. 21 ' B , aut 13 /»— 14B, vnde 

 B:^i3; ct A— 21'. B— 21'. 13 — 5733. 



PHYSICO 



