S60: AN ACCOUNT OF THE 
EXAMPLE. 
GIvEN a triangle having two of its sides —= 227,000 and 300,000 feet, 
and its angles (adjacent to the two sides) 52 and 36. Required the 
excess of the three angles above 180? 
Table No. to 52 = 1:147 to 36 —= 779 
Multiplier to side 227,000 g2 300,000 9 
S739 6-948 
2994 
Ist part, 9'96 : 
2d part, 6:95 
129 == spherical excess, 
As the two angles are acute, both parts of the spherical excess are 
positive, but if one of the angles be obtuse the part answering to it will be 
negative. When the angle is not to be found in the table, it’s supplement 
is to be taken. 
TABLE 5. : 
Tue difference of the logarithms of the are and tangent, for probable 
distances within the survey. It also serves to find the sines. 
EXAMPLE. A 
What is the tangent to the arc measuring 343,000 feet in length ex- 
pressed in feet. Aiso find its sine. The distance being taken in the 
direction of the meridian. 7 
For the Sine. 
For the Tans ent. : 
Log. 345,000 5: 537,819 ——-5537,819 
Table No. 0-+000,039 000,020 = 1 Tab. No. 
Log. tangent, 5: 537,858 Log. sine, 537,799 
