44 De Promotione navium 

 quifitx Vx. Cum autem fie V= ee (a-t-a) , habc- 

 bitur ilia arquatio , {nA^ = ee(a-*-a.)x. Ex qua 



elicitur - = '■—, • Qui valor in praxedente acqua- 



j te(a-t-a) > * * 



tione fubftitutus prarbet : x#t(-r+- .j = JJ r e TZJ<- 



§. CXXXIV. Cum nunc fic#= y^^l*.^? 

 erit , valorem hunc in prima xquatione fubilituendo : 



(e e + gg) n n A A b 



kkc = , rr~ 



2 g g e e ( a •+- a. ) 



zee(2a-t-a.)nAv'b 



v (4-e* (2 a ■+- a.) (a -*- &) z -hnn AAb) — nA\ b 

 qus reducitur ad formam fequentcm 



(e e •+- g g) nn A A b 



k k c = 7 77 — 



2 gg e e ( a -+- a ) 



7Z/^v / ^(v / (4e 4 (2 a ■+- a) (a ■+• a) 1 ■+■ n n A A b) -\-nA\'b) 

 j. . 



nnAAb (H-H) 

 feu /(-/tc = —7 — 



_^_ . • 



2 e e {a -*- a.) > 



§. CXXXV. Quod fi brevitatis gratia ponatur 

 nAvb = V p, utf\tnAVb=2ee(a-i-a.vp)i 



ie< (.< + «) r t>1 



prodibic facia fubftitutione : kk c — 2 e e p ( 2 -4- J« ) 

 + if£\'p(2(i + t+/'). Unde fit altitudo celeritati 

 navis debita c— •^r'/>(i-t-f J '-t-v'(i ■+- ^^j ). Qux 



exprcfiio etiam in hanc transrormatur c = -— — ; — 



I Lkkee(a-f-a)' 



