62 



part of the circumference, now regarded as the measure of 

 a day (or period of daylight), we have the equation 

 6x60 =360, or 



6X3^= 1: then doubling the num- 

 ber of parts and halving their magnitude, we get 

 12X^=1, or 



12X60 =720, the number of minutes 

 in the day or the night, 60 minutes constituting the hour or 

 twelfth part of such day or night. 



Were it as feasible as it is desirable to substitute the 

 decimal for the sexagesimal division, and thus to establish 

 a complete identity of subdivision between angular and 

 linear magnitudes, the rule followed in the treatment of linear 

 measures should also be adopted here, beginning with the 

 circumference as absolute geometrical unit, to be divided 

 into halves, quarters and tenths, and a similar course to be 

 repeated with the tenths, etc. According to this method, the 

 following table may exhibit a sketch of the new denomina- 

 tions compared with the existing ones, to wit: 



New denominations. 

 1 orbe = 100000"=400° 

 1 semiorbe=50000 / '=200° 

 1 quartorbe=25000 // =l00° 

 1 sextorbe=16666f"= 66f° 

 1 octorbe = 12500"= 50° 

 1 deciorbe= 10000"= 40° 

 1 centiorbe= 1000"= 



\ centiorbe= 

 \ centiorbe^ 



1 milliorbe= 

 1 billiorbe= 

 \ billiorbe= 

 1 trilliorbe= 



500"= 

 250"= 



40 

 2° 



1°=1 degre 

 =50 minites 



Old denominations. 

 =360°= 1296000" 

 = 180° 

 = 90° 

 = 60° 

 = 45° 

 = 36°. 



= 3° ; 6=216 / 

 = 1°,8=10S / 

 = 0°,9= 54' 



100' 

 10' 



5' 



r 



1 minite=50 secondes 



=0°,36=21',6 

 = 2', 16 

 = l',08 



1 quadrilliorbe= 0,"1=1 seconde 

 1 quintilliorbe=0, // 01 



= 12",96 

 = 1",296 

 =0",1296 



