90 REPORTS ON THE STATE OF SCIENCE.—1913, 
So also for the second cubic transformation, requiring in going from 
K/K’ to St the formulas can be written, putting for simplicity A(r) 
for A(r, K/K’), . ; 
ahs B(60, K’/K)? , «’ D(x)? A (60, K/K)? 
A (r, 3K/K’) = A (r)? E (60, K’(K)? Se ee (n)? Be, 
D (r, 3K/K’) =D (r)*[1+ pen Hs 0 be al 
A(r) Bir) O(r) 260, 7K)" 
ME (r, 3K/K’) = 3E (r)+2« 3B (60, K’/K)? 
i eer D(r, 3K) 
K K 
Ko yy Be ois Os] Doca's's ALON K == ibs olle i 
At the trisection check 
M=b= 4/3 es 24/3 sin 75°, 3(\V 3+ /2), (V3 -V2), «6 « 
In deriving K =5K’ from K = KR’, the formulas of the quintic trans- 
formation were 
6)? Dir)" Hise | ; AWS er A(72)? 
2" A(v)? D(36)2| LD(72) * A(r)® D(72)2 | 
) 
) 
6 
D(r, 5) = D> E ae 
A(r, 5) =A(r)* Ee 
ME(r, 5) = E(r) + 2E(2r) + ODEN te eo 
D(r)*" B(36)* 
A(r)? , (72)? 
D(r)? B72)? 
1A? Aap 
Dr)? B(72)? 
l+ongK 1l+om3K _ yp io, 
1—cn#K 1—cn3K 
