,;^>^Mf. 



De motu corpQrum tntubis circa punctum fixUm mohilibus. 123 



ergo - = --' hmc ('^-i-r^^et "=SM(-PT ^-—^-*--;ir) at ds = — ; 



o M da* da* ^ da* fda ff ff * 



t z j j yzdz zzdp . y zdp i . , , j 



sit a6 = p, erit z:y = ds:— dp, ergo ja5 = -^=— — -» et —== — : hinc do = dq-t-dp. 

 At ex superiori aequatione est " - • ' >f 



r v^ ^^ ff ff Aff > 



2 (2j/y— zr)udj/ 2cdy ^uyzdx '^Mhkudy A{ydy—zdz)!./, zzu yyu Mkkuu,. 



^f^ ff ^ r ff ff Aff I 



Al 



Porro erit 



MkkVu^AzzVu . . _.n^y ^,^ y. = -"^. OTIV oU?.0*l 



j^-^ri/^=^m. '^ ^^T,Nf 



19. Coroll. 9* Si quantitas motus rotatorii ubique per distantiam a polo multiplicetur, et 

 summa omnium productorum vocetur mom^ntum n^ot^^^ficit^tqrii: erit casu generaliter pertractato 



• . _'._ ^j ^K -+-VV 



momentum motus rotatorii '"_11_A:_-. — -- uV «ij!-.* 



: : k -4- 4»\f. " 



MkkVu AzzVu j ^/ - ' 



— — ^ — I j ^y yv. 



20. Coroll. 10. Differentiale autem hujus momenti motus rotatorii erit 



-, MkkVu AzzVu j ,/ , MSkkzdz ATyzdz ANzdz 



21. Coroll. U. Sit ^" -H ^P - ^^ -H i^ = r et ^" -h ifili_^j.y,= fl, 

 erit 



, r^ ^Tzds ^Tj/sdzyw ^JVzdzyt* MSkkzdzVu ,„ ANzdz ATyzdz MSkkzdz 



a? /^a?yf /^yi' /Ticyi' 2yf 2a!yc IfmVv 



Ex illis autem aequationibus definiuntur u et'C. 



22. CoroU. 12. (Fig. 150.) Sin autem sit CS = q, Ss = dq, OM = z, quia ob curvam ^^M 

 cognitam dantur 'y et x per z; erit 



, zdzVu fydz 



' xvv xz 



in qua si substituantur loco f et a valores inventi, reperietur aequatio pro curva DMy quam 

 corpus describit. 



no ^ „ ,„ 17 .^ . y Mkku-^Affv — lAfyVvu-i-Azzu 



23. Coroll. 13. Ent autem ]a^= (^;,;^^^,,).^, 2^^,(^e-4-^zz)y.u-H^Vm ' 



sit E=Mkk-t-/izz, s = ^ et ^ = F, erit . 



y^ /iji 



