£74- D^ COCHLEA AKCHIMEDTS. 



C O R O L L. 3. .: 



j6. Si in cafu corollarii praecedentis pon^tuf 

 angulus £^-F^^ =^CI), u fit dt=: 71^?^^,, ob dp 

 •zzdtVU ec dxc^dtVv, rehtio later (j) ec 1; hae 

 exprimf tur aet;uatione : 



<7Cof.^rin.e(i -cor.C|))i:^Cl>rin.^cof.f+ a.y.H^ + vcof.i^ 



ex qua fit y/: + coi:<, V vrr^y (fc-tf,4irm -^cof.^cor. & 



-V-tfcof ^Mln 0(1 — cof C|))) 



ideoque dt—:^ri^a^j:;::^c~oj:^~^}j:\^7^ - 



C O R O L L. 4- 



17. Similitnodo fi generaliter , pofito tamea 

 niptn g"ratorio conftante, feu u — fe, ponaiur litl£^^ ^ 

 et ^4^ - y , erit qiioque dt =z r:^.^ et ^"-* fin.Cp 

 r i£3Li^ll fin.(Y+4)}+«(|) fin.^coi. ^-Y^Vkv-^^vcoi ^±Q. 

 ideoque , . ■ 



yife-t-cof^y-yzryCC+^cof^^fiii^^fin.Cl^-fu^y+Cl») 



-<2(pfui.<^C0l.<C0f $) 



\ride fit 



^(^^ ^ 



«^— y(C4-^coi.^'fin.0(fn-i.(p rin.(y t(|). -tf^fln^.col.^cof.e) 

 vbi ^ denotat angulum ACS , et y anguliim SCT, 

 qui eft conftans. 



C O R O L L. 5_ 



iSSi cylindrus in partem contrariam celeritate 

 — y^ circuraagatur, pro y^ fcribidebet -y^, arcusque 

 p aegauue erit accipiendu» , ita vt fit Cj> :=: ^'.^^^iil, 



QiTare 



