PROCEEDINGS OP THE POLYTECHNIC ASSOCIATION. 693 



Table 7. 



"ol S§ ■ °" -So i«^ 



*jOSg s^j; ^^'^ Sot 133 



Chaos 425 -^ 1 := 425. 180,625 



Nox 425 " 2 " 212,5 45,156 



Cerberus 425 " 3 " 141.67 20,069 



Bacchus 425 " 4 " 106.25 11,289 



Jaims 425 " 5 " 85. 7,225 



Atlas 425 " 6 " 70.83 5,018 



Hercules 425 " 7 " 60.71 3,686 



Neptune 425 " 8 " 53.125 2,822 2,854 



Pluto 425 " 9 " 47.22 2,230 



Uranus 425 " 10 " 42.5 1,806 1,822 



Apollo ...425 '; 11 " 38-64 ],493 



Minerva 425 " 12 " 35.41 1,254 



Vulcan.... 425 " 13 " 32.69 1,069 



Saturn _..' 425 " 14 " 30.36 922 906 



4 rings in this interval, 



Jupiter 425 " 19 " 22.37 500 494 



15 rings in this interval. 



Mars 425 " 35 " 12.14 147 145 



7 rings in this interval. 



Earth 425 " 43 " 9.88 98 95 



7 rings in this interval. 



Venus 425 " 51 •' 8.33 69 69 



18 rings in this interval. , 



Mercury 425 " 70 " 6.071 36,857 36,770 



Explanation of Tables 8 and 9. 



The law of proportion, and the serial relations, extend not only 

 to the velocities and the square roots of the distances, but also to the 

 intervals or differences between the square roots, and the differences 

 between the velocities. This is illustrated in the two following 

 tables, (8 and 9), which must be studied together as if they were 

 one. 



Table 8 gives the velocities of the planets, and their differences 

 of velocities in serial order from Chaos to Saturn. The table might 

 have been extended to Mercury, but the principle is sufficiently 

 illustrated without occupying more space. It will be seen that if 



