VOL. XXXIV.] 1-HILOSOPHICAL TRANSACTIONS. I65 



in integral or fractional places. The example immediately before is a particular 

 instance of this. 



After which Mr. Colson shows how the common operations in arithmetic is 

 to be performed with these numbers. But as it is not likely the method will 

 ever be brought into practice, the above specimen may suffice. 



A Lunar Eclipse observed at Rome, Oct. 31, 1724, iV, ^. Bij Sig. Bianchini. 

 N° 396, p. 1 74. From the Latin. 



At 15'^ 15"" 40^ the beginning of the eclipse, or true shadow, 

 17 48 50 the end of the same : true time. 



Eclipses of Jupiter s Satellites in \71A. By the same. N° 3g0, p. 176. 



In 1724, near Bolsena in Italy, by true time. 



June 8** ]4'' 48"^ 30= the 2d sat. emerged out of Jupiter's shadow. 

 15 O 30 the 3d sat. enters Jupiter's limb. 

 15 27 10 the 1st sat. enters the shadow. 

 At Rome, by true time. 



O the light of the 2d sat. began to weaken. 

 20 it was entirely immerged. 

 50 the light of the 1st sat. began to diminish. 

 50 it was entirely immerged. 

 34 the light of the 1st began to weaken. 

 29 it was entirely immerged. 

 45 the 1st sat, emerged from the shadow. 

 55 the 1st sat. began to emerge. 

 5 it was entirely emerged. 

 8, at Albano, the 1st sat. began to emerge. 



An Eclipse of the Moon observed at Albano, Oct. 21, 1725, N. S. By the same. 

 N°396, p. 179. 



The beginning was not seen for clouds. 



At &" 1 5™ 6= the shadow touched the moon's centre. 

 6 45 O the moon was entirely immerged. 



8 27 O the beginning of the emersion. 



9 25 O the end of the true shadow 



