355 



sumamus aliam rectam ; in clrciilo ex- 

 empli causa sit quadrans ABCD, Ver- 

 tex/?, centiuin-ü, deturalia r_( la EF 

 itascilicct, ut datae sitDFperpendi- 

 cularis el FE, quo diameter ei occur- 

 ril, adeoque et DE. Sit ordinata cir- 

 culi//Zf, cuitis diiuiiliiim punctum.-.; 

 duralur LM perpendicularis ad FE, 

 patet triangula EFD etEMN(Npun- 

 ctum intersectionis JtfZ,-_.D) etLHN 

 esse similia. ShAD IH « , erit HL V\ 



— fl — ; iam ob triangula similia — fl 



NH „ DFHd 



HL FEV\f 



, ergo NH 



11 f Va* -x 8 II £* ergo EN [~\ DE (|"l -) — HD (fl . ) — NH 

 ( n £ A , ergo EN H e — :. — ll . Iam NL H VnH*+HL* 



n V£^ n J J^T, - g n S *. «r n 



NU, EX , . rv nV(/ 



: adeoque JI__V[ 1— , 



et Jlf Z, fl Ü/_V + 7VZ n 



_ _dy 



2 'n 



^ 



/ : 



m^ 



dy 



2/' 



/VS 



2/^ 2 r / j T 



(«.fl K/ g — rf B ) sive3/Zn 



rfJ j^r^_„._' + ££ 



_•*+/' 



-./' 



2/ 



dVf-d* —, 



2 



■ ■* o 

 H ______ , qui calculus cuilibet curvae communis 



est, sumta semper i pro abscissa et y pro ordinata. Rectangulum 

 ergo sub ML et HB (l~l/) sive momentuni cuiusque ordinatae ex 



d\f l -d- y — .ry + Ly" 

 recta TTF ponderatae sive vea erit n _=__-_ 



Vd l +f* 



Krgo onin. «• babebiintur ex datis omn. j, omn. xjr, et onin./ 2 , vel 

 etiam si ex his quatuor dentur tres, dabitur quartum. Iam omn. i y 



