(73) 

 I») cot. ::: — ^{tP; 

 2°) cot. xr— S2L!P_±ii!2l'; 



3°) cot.;s — i - '^-'^Y'""°' - 



Nnnc igitur haud difficile erit conditiones ftabiJire, 

 <]nae requirentiir, fi problcma trcs folutiones admittere debeat. 

 ManiTcIium cnim eft, quo tcrnae radiccs fmt rcales, non folum 

 rcqiiiri vt valor A* rrz — — — • fit pofiliuus, fed ctiam, nb m — 

 cof. 3<^ — 1|^, ficri dcberc B > 4. C i'. H.arum conditionum 

 prior — — — >o poftulat vt fit A — 2B>o, hoc efl 



fin. r7 fin. b (fm. a' — 2) -4- cof. a cof ^ > o , fiuc 

 fin. a* — 2 -t- cot. a cot. ^ > o, vcl dcnique 

 fin. a* > 2 — cot. a cot. b; 



Vnde patct, arcus a tx. b ita comparatos effe dcberc, Tt pro- 

 dudum cotangentium eorum fit vnitate maior. Altera condi- 

 tio doclarnt hos arcus rt et ^ ita fumendns cfTc, vt diffcren- 

 tia intcr valorcs A et 2B fiat iaiis notabilis. 



Excinplum. 



Quo Indolcm huius fohitionis clarius pcrfpiciamus, 

 confidcrcmus cafum qucndam dctcrn.inatnm, flatucndo arcus 

 E A =z: ^:^: 17°, E B = ^ r 59° ct angulum AEC = a=85% 

 ct calculo pro v.aloribus lirtcrarum A, B, C, inOituto, inus- 

 nimus A =1: 0,74.1 2+; B — 0,25061; C — 0,08457, ex qui- 

 bus porro deducimus /: — 0,88493 ct w — 0,93537, vndc 

 fit col". 3^r c, 93537, confcqucntcr ^^'rso^^.^^ ct ^=6%54^ 

 circiicr. Tcini igitur v.alorcs nollrae cotangcntis crunt fc- 

 qucntcs: 



. Koua A^.a Acad. Itvp. Sc. T. II. K cot. 



