B I O P H A N T E \r Mo. ^i; 



reperimrqiie 



JvjJ^H^^+^m 21 4-779' r v<y+»f-f2r;fe:s ^091805* 



at V 1?. 4r ^ A'"'h>'^ 4t ^« cx a 5 .- 1 2 o i . i $ 5 5 2 97. . 



f^: Qiio ratib harutn formulhrum- clarius pcL'- 

 ■i|>idatur , notari conuenit efle r- 



aA*- 4.a*~— (AA + zaA.- 2 «<7)(AA- 2 ak-zad), 



lyide erit 



<)=r4'.<AA— 2-^4(AA+ 2raA~2aa) f A A— 2aA— 2««)^ 

 5t— a ( A A— 2aa) ( A A+ 2fl A- 2 afl) (AA— 2 « A-- 2tf^)j 

 ^.— 2/7aA(AA+2a.A— ^oKcJ^fAA'— 20cA— 2aa) 

 J?zz xaoLk (AA+ ^aK—^-aa){AAr-2JiPi—2Ma)\ 



ficque pater, numeros a? et a'. inter fe permutari, vt 

 natura rei poftulat- Quod facilius ex his formulis. 

 perlpicietur ;> 



v:^ a(aa — aoL){%a -^rCaaau.d—cL) 



z— a (a tf - aa) (2a* 4- 6 aaa.a, — a,*)i 

 j—2aaA{s.a*'-\-6aaacc^a^) 

 S ^ ^a a.A (1 aH-tCaaa a - 1^*}». 



Hinc cftl ini genere' 



V u '4- y 1 4r 5r 2r:± A*(tt*** c-^ktt^^ l y crf ar+ a") ' 

 vv.4-.v;v + «szz A'(a*— fl'a*+ 1 5 a* a'H-a j|. 



11:3;' ir 



