»74 ATTI 



jlremo Planum /Equilibni poiitioncni liabent bafi parailelam, 

 .adfoque divcrlam a pofjrinne rcquilka » oftemdamque in hac 

 quoque Axis polirione bina trianguli? & coni fcgmenta aequa- 

 Jibus momcntfs circa ipCum axem Irbrari . 



11. Sit itaqae primo rrianguluniquodvis BAC, TablV.fig.i. 

 & per ejus graviratis pentrum E agatur recta A4N ba(ì BC 

 parallela; ajo, bina trianguli fegmenta MAN, BMNC mo- 

 mentis xqualibus circa aequilibrii Axem MN librari. 



Ducanrur enini in triangulo MAN refts FG , /ì , & 

 in trapezio BMNC reflre PQ^ /'(? infinte propinqua, & axi 

 MN parallela, agaturque in ipfas a trianguli vertice perpcn- 

 diculum hi; tum die MN*^, AH4, F&v, ,& erit AT 



by l)dy 



=. — > ^ t zz — , Se trianguli AMN elementum '^yjsfzz 



,• Hoc autem duclo in diftantiam TH ab axe MN ori- 



tur ilHus momentum refpe<^u ipfius Axis , hoc efl: J-— ( b 



— — 1, cuius integrale prxbet momentum triangu- 



li FAG refpeftu Axis MN. Si in hac porro exprelTione fiat 

 y:=.aì prodibir ^ b^ n — ^ b"^ a= l b^ a-, quod exhibet mo- 

 mentum totius trianguli MAN relpctìu Axis MN. Id ipfum 

 confequuti ellemus dufta trianguli MAN area %ab in diftan- 

 tiam lui centri graviratis a larere MN , five in ì^b . 



Sit modo in trapezio BMNC teda PQj=2i, & inve- 



nietur Al = —, I / — — , elementum trapezii P Q^n p — 



bT^dx, , , bz. 



, cujus produftum in diftantiam IH, five in b prx- 



Det . — 5—, = momento ejus elementi relpeftu Axis 



MN . Surama momentorum hujufmndi, hoc eft integrale il- 

 Hus expreinonis invenitur — .— ..^ — . -»- confi:, rr memento 



j'j* za 



trapezi» MPQ|^ , & quoniam evanefcente trapezio , feu fa£la 

 z^,a^ evanelcit ejus momentum, idcirco oritur confi:. = § 



b^a — ^bta'^ib a., & ipfius trapezii momentum — 



"^iè^a, Abeunte vero PQ„in BC , Civc a in | ^ ; in- 



ja» 



2lt 



ve- 



