GANNETT.] 
THREE-POINT PROBLEM. 
15 
A.s all the angles and a side in each triangle are now known, the 
other sides, or the distances from P to the three given points, can be 
readily computed. 
PB 7194. 87 
PA 8999. 89 
PC 8107.98 
PA 8999. 89 
PB 7194.94 
PA 1388. 54 
PC 8107.91 
PA 1388. 54 
P B 5256. 29 
PA.... 2609. 75 
PC 6203. 63 
PA 2609. 75 
The results are verified when both triangles give the same value for 
the line P A. 
GRAPHIC THREE-POINT PROBLEM. 
1. When new point is on or near the circle passing through the 
other points, the location is uncertain. 
2. When new point is within the triangle formed by the three 
points, point sought is within the triangle of error. 
3. When new point is without the triangle, orient on most distant 
point; then the point sought is always on the same side of the line 
from most distant point as the point of intersection of the other two 
lines. 
Class 3 
Indeterminate 
7f .Case 4- 
'ge) 
f-Case 4 
Class 3 
Fig. 5.— Three-point problem; graphic solution. 
