larum V af^ — aa et V ah — an, pro qiiamni priori utamur acqiia- 



tione supra J. 9. inventa: 2gV af — a a = n(/i— /) — gg, quae 

 ob X — '- - pracbet Wf-'u a-- ^^'^ ^'fhj^ ^ 



J-r-h-hiVhf-gg ^ •' h-^f-h±Vfh-gg 



Hoc invento aequatio > a/i — aa z=: g 4- V af — aa praebet 

 y ah — a a z=z s'^-^g-j' fh — s j_ gj^,^ scribendo brev. cr. 



h-hf-h2Vfh-gg . 5^ 



y'fh — gg simpliciter / . . . , ut sit a :=^j_^,, i^^ ~ , erit 

 /iT^^ =-,-«X^^ et /lïI^^^/.ilzJi^. 



§. 12. Designcmns nunc valorem nostrae fornuilae 

 integralis pro ciirva quacunque nomine ejus momcnti , et 

 quia supra vidimus^ momenlum curvae EY (Fig. 2.) esse 

 I (2 a H- x) V^ X — a, crit id etiam -^V^ (2 a -\- x)V ax — a a 

 iinde pro nostro casii momentum curvae EH (Fig. 3.) erit 

 zn -^- (2 a -\- h) y a h — a a, et momentum pro curva 

 EF rz: -^ (2a-l-/) K a/ — aa, quod a praccedente sub- 

 tractum relinquit momentum pro arcu proposito 



¥ïï — j',-^{2a{Vâh-aa-Vaf-aa)-^hVah-aa-fVaf^h) 

 quae expressio, si loco radicalium scribantur valores modo 

 inventi , induit hanc formam : 



,^,+,+l,.r.f7-. i- " (/+ '' -^-y'-- ■) +//- '''' + (/- '0 /• • ■ ) 



quae, si loco a ejus valor substituatur, abit in hanc 



