ON THE CURVES WHICH SATISFY GIVEN CONDITIONS.
'60 ??? 2 + 42 ????? — 252 m — 174??'
4- a (- 40m 4- 166)
_4- a 2 (m — 4)
(m — 4) (/c 2 — /e)
+ 6 (m — 4) (n — 3) k
4- 18 (m — 4) t
-4- (m — 3) (4? + 2«)
24 (1, 1, 1, 1 •) = (2m + n) 4
+ 6 (2m + ??) 2 (— 4m — n — 3a)
+ 3 (— 4m — n — 3a) 2
+ 4 (2m + n) (— 32m — 58n + 78a)
+ 2208m+ 2610n-2358a
14 m (m — 1 ) (m — 2) (m — 3)'
+ 16n (m + 2) (m — 2) (m — 3)
36a (m — 2) (m — 3)
(= - [(m — 2) (m — 3) (14m 2 + 16mn — 14m — 76?? — 36/e)]) ;
6 (2, 1, 1, 1) = (2m + n) 3 a
+ 3 (2m + n) 2 (12m + 12n — 14a)
+ 3 (2m + n) a (— 4m — n — 3a)
+ 3 (2m + n) (— 336m — 336/i 4- 288a)
4- a (— 32m — 58?? 4- 78a)
4- 3 (— 4??i — n — 3a) (12??? 4-12?? — 14a)
4- 10656m 4-10656?? — 8016a
' 108m 3 + 108m 2 ??- 1116m 2 - 1116m?? 4-2736m 4- 2736??'
4- a (7m 3 4- 6??? 2 ?i — 147m 2 — 30????? 4-1040??? 4- 24?? — 2256)
_4- a 2 (— 9m 4- 36),
where the correction is
= — (m — 4) j' 108m 2 4-108????? — 684??? — 684?? 5 ,
4- a (7??i 2 — 119??? 4- 564 4- 6?? (m — 1)) !
— 9a 2
= — (??? — 4)
28(21??. — 36)
+ 2t (18m-126)
4- k (7m 2 + 6mn — 65??? — 13?? 4-165) — 9 (k 2 — k)
4- ? (4- 16?? — 96)
^ -
