Conftat autem effe 



AC.BDz:fl,c + 6i = ^ji^^^ jA^j 



Jm.2a.Jin.2p 



vnde concluditur fore 



R R J^-(ot-t--P) a -f-co/.(c c — (3)3 



Jin.2a?Jm. 2(3 2 ' 



hincque nancifcimur radium circuli quadrilatero circumfcripti 



R /( I- 1 - fin.2a.Jin . 2 (3 ) 



jm.2 xjzn. 2(3 



Qiiin etiam perimetrum quadrilateri fatis concinne expri- 

 niere licet. Eft enirn 



a + b + c+d s/,tt.^-4-(3w.(«--£) 



1 v ' Jzri.2ajm.2(3 



Problema iq. 



$. sp. iSt circulo dato infcribatur quadrilaterum cir- 

 culo circumfcriptibile , ita vt anguli fint datae magnitudinis, 

 inueftigare latera, armm et radium circuli infcriptu 



Solutio. 



Cum poiito y = 9O — a et 5 1=90° — (3 -ex J. 14. 

 habeamus 



a zzz ^JJ^hlldiQ) h — r co/.(« — (3) 



Jin.ajm. (3 "* co/. ajzn. (3 ' 



C r//?i.(a+(3) j r coj. { a — (3 ) 



coj. a coj. [3 9 Jin. a co/. (3 s 



confequenter 



"D rV(I+Jin.2-<Jin.2fi) 



Jin.2ajm.2fi 9 



quoniam cjrculus , cui quadrilaterum eft infciiptum s vt da- 

 tus fpe&atur, eius radium pro vnitate fumamus, qua omnia 

 dimetiuntur, eritque radius circuli quadrilatero infcripti 



Jin.2ajin.2fi 



~~~ Y[l+Jin.2ajin.2fi) 9 



con- 



