RESPONSIO AD QUAESTIONEM MATHEMATICAM.; 



Dodecaedn capacitas = - ^^ ^ ^, J/^ 



Log- (3 + V5) = Log. 5^23607 = 0,7190054 

 Log. 2 = 0,3010300 



Compl. Log. 15 = 8,8239087 



Log. a ^1+-X^^ = 9,8439441 



Log. //'-il±^ "± 9,9.197- 



Log. 5 = 0,6989700 



Compl. Log. 12 = 8,9208188 



Log. A? = Log. 2^ = 0,9030900 



Log. Dodec. =: Log. 2,785164 = 0,4448508 



Determinata singulorum corporum capacitate, invenitur cubus, ciijus capacitas est ca- 



dem atque illa quinque corporum regularium simul sumtorum, sumendA summd capaci- 



tatum et extrahenda radice cubica ; quantitas , quae tunc acquiritur, erit latus Cubi 



quaesiti. 



s - 



T . o,- /y ^^ , A3 , 5A3 , A3 , 5A3 // 2(3 + ^5) 



Latus Cubi = A^ — - — — -4 -. — 7 — ■. — 7-. -4 —r + — A/ — 



'^ 91/3 6 ^ 3Vi°C5 — V5) SVS 12 K 15 



_ /yjJlL j. ^! , 5A3 f/ __^ , 5A^ // ^(3-* 



~^ 9V/3 ■•" 6 ■*■ 6 A^ j^j-V/^)"^ i^^ I 



5 



_ //a3, 4 . I , 5/y 6 5 /yiC3±lA)(5z±:5)x 



-^ V^,'!"^"*"^^ isC^-V^)'^!^^ 15(5-^/5) ^ 



^9V3 ' 6 ' 6^^ i5(5-V5) 

 3 



A/yr 4.1.5 (V (> + i/r+T/j ^Y 



= A^o,. 



5«;6oi 4- 0,166666 + 0,665159 



3 



\// i,oc 



= A 1/ 1,0^8426 



