COliSTRrENDlS. 373 



Tum capiatur V?±V$-™ cot.('(3f Y~9°*p-;?tang.((3-t-Y) 

 ct per puncta P et S radio ~ ~ pert. ducatur arcus 

 circuJi PQRS, Jimites AB et CD in P et S tan- 

 gens, qui dabit dudtum aggeris. Quodfi ponamus 

 *=V(cot.p-t-cot. V )=^^ Tt !«*<!, 

 reperitur : 



BP=?(X cot.(3-(i -X)tang.((3-4-y)) 



CS^ = (X cot.y-(i-X)tang.((34-y)). 



Quantum autem lucrum Jioc modo obtineatur , ita co* 

 guofcetur : Cum fit 



VP+VS-P(iRS = ^((H-Y-tang.((3-l-Y)-7t)et 

 VPQRSVz^((34-y-tang,((3-i-Y) -»J 



tum vero BV-f-CV-BC^:- ferp^Pii* 



feu BV+CV-BCir-^Ccot.p+cot.Y-r-tangKptY)) 



s= - M—cot. (3 cot y tang. ((3 -f- y) 

 qua cxpreflione inde ablata , prodit aggeris diminutio : 

 PB+BC4-CS-P(iRS=:^r:p-fY + Xcot.(3+Xcof.y 



-(i-X)tang.((3-t-Y)-7r) 

 ^«-pvp ~|-y-~(i -Xcot. (3 cot. y)tang.((3 + y) -7r) 



DeindeobABVC = -^^^- x 4Fcot.(3 



cof. y tang (£ -+- y ) 

 fit campi includendi diminutio : BPQRSC:= 



^?(P + Y-( I -" XXcot 'P CQf «Y) tan g-(P + Y)"" w ) = - 



^T &f Y+^ cot -P"i- XXcot Y~( x -AX)tang.(Pfy) ■ ir> 

 Aaa 3 vnd& 



