quantity in Column C and on line (2) is 109 37', 

 which is the sum of C13 (Alg. 1) and D13 (Alg. 1). 

 C3 and C6 give the central angle with minutes re- 

 duced to decimal of a degree. D contains the 

 tangent distance for each curve. E contains the 

 curve lengths. In F are entered the lengths of 

 tangents produced to intersection points, copied 

 from line 12 of Alg. 1. G contains the amounts to 

 be subtracted from quantities in F to obtain the 

 quantities in H. For example: G4 is the sum of 

 D2 and D5, and H4 is F4 less G4. I contains the 

 station and plus for each point of curve; and J 

 contains the station and plus for each point of 



ALGORITHM III. Line Equations. 



Formulas : a = (y u 



n x k ); b = y k 



ALGORITHM IV. Co-ordinates of Intersection Point. 



Formulas 



X = 



(b' b) / (a - a') ; 

 check, y = a'x + b'. 



1 ................... (Eq. y 



2 .................... (Eq.)'y = 



:* .................... 



4 .................... 



5 .................. 



ax 4- b 



7 



s'.!!! 



9.... 



10.... 



11 



12 



1 :{.... 



1 1 . . 



15.... 



16... 



17.... 



18.... 



19.... 



20.... 



b 

 b' 



b' b 



a a' 



log(b b) 



log 



log a 



log a' 



log ax 



log a'x 



ax 



a'x 



x 



y (= ax + b) 

 y (. a'x + b/) 



y = ax + b ; 



Checkpoint A. 

 y = l.lx 1160 

 y = 0.4954 + 

 1.1 



0.4954 

 1160 

 

 1160 



0.6046 

 :?.oi; I4<; 

 9.78147 

 8.28299 

 0.04] W 

 9.69495 

 8.82488 

 2. ( .77n4 

 2110. 

 95O.6 

 1919. 



'.)T,0. 



950.6 



10 



