360 Application of Screw-Blades as Floats for Paddle-wheels, 



Values of the Functions to be integrated, the limits of 

 integration being 0° and 25°. 





cos 9. 



?• 



q cos 9. 



tan-ig'.cosfl. 



o 



•999048 



2-000954 



1-999050 



1-106286 



n 



•991445 



2-008582 



1-991398 



1-099373 



m 



•976296 



2-025916 



1-977894 



1-085919 



m 



•953717 



2047096 



1-952350 



1-064724 



. 22i 



•923879 



2-078336 



1-920132 



1036906 



m 



•887011 



2-117912 



1-878611 



1-002026 





<?. 



log e (l+? 2 ). 



log e (l + ? 2 ).cos 2 0. 



tan_ q . cos 9. 



o 



4-003818 



1-610201 



1-607138 



1104182 



n 



4034400 



1-616294 



1-588757 



1080642 



12* 



4-104337 



1-630090 



1 -553727 



1035043 



m 



4-190604 



1-646850 



1-497935 



•968447 



22^ 



4-319480 



1-671375 



1-426608 



•885054 



m 



4-485553 



1-702117 



1-339206 



•788382 



Hence, by the same method as in my former paper, 

 R=ip y a>V 4 <{~ -388103+ (2- ^\ x -669379 



+ (2- £jx -442383 T. 



M = !/> / wV<Tl-320900+ (2- ^jx -776207 



+ ( 2 ~ ~V 6 - —^x -334690 

 \ cor/ \ cor/ 



+ (2- ^Yx -884766 \. 



(6) If the radius of the paddle-wheel be 9 feet, then 



(l+X)rcot7=9, and r=£, 



or r equals |th of the radius. 



Supposing the speed of the vessel to be 10 knots an hour, and 

 the engines to be making 36 revolutions a minute, then 



-=4i and (2-— ^=0. 

 co \ cor) 



In this case the velocity of the vessel will be equal to the velo- 



