257
33
ON THE CURVES WHICH SATISFY GIVEN CONDITIONS.
406]
(1,1,1,1)
( • ) = <j { 2 (m — 3) (m — 4) (n 2 — m — n) + (n — 3) (ft — 4) (m 2 —
+ 4 (m 2 - 11m + 28) r +2 (n 2 - lift + 28) 8
+ (4 (n - 4) (m - 4) - l) (28 + r) + 28 2 + r 2 },
(/)=£{ (m — 3) (m — 4) (rc 2 — 777 — 77) + 2 (77 — 3) (n — 4) (m 2 -
+ 2 (7ft 2 - II777 + 28) t +4 (?i 2 - lift + 28) 8
+ (4 (n — 4) (m - 4) - l) (8 + 2t) + 8 2 + 2t 2 } ;
(2)
( .*. ) = 3m + i,
(:/)=2(3 m + 0,
(•//) = 2(3 m+0,
(///)= 3m+ i,
(2, 1)
( : ) = 3 (277777 + ft 2 + 4m - lOw) + (2m + n — 14)
( • /) = 2 (3777 + t) (m + 77 — 12) +24 (m + n),
( ¡I ) = 3 (7ft 2 + 2777ft — 10ft7 + 4ft) + (m + 2?i — 14) i ;
(2, 1, 1)
( • )= (2?ft+ n — 7) (6t + (ft — 3)/c)
+ ((■m — ft) (m + n — 5) + t) (3m + i — 36)
+ 12 (m — ft) (m + n — 3),
( / )= (fti + 2ft — 7) (68 + {in — 3) i)
+ ((ft — m) (m + ft — 5) + 8) (3m +1 — 36)
+ 12 (ft — m) (m + ft — 3) ;
2, 2)
( • ) = £ (3m + i) 2 — 3 (3fti + c) — 9t — 88,
( / ) = ^ (3m + ¿) 2 — 3 (3fti + i) — 8t — 98 ;
(3)
( : ) = 6ft — 4in + 3/c = oui — 3ft + 3t,
( • / ) = 10ft — 8771 + 6/c = lOfti — 8n + 6i,
( I/ ) = 5n— 3m + 3« = 6m — 4n + 31 ;
(h 3)
( • )= 2(—4ftï 2 + 37ft7i + 37i 2 + 28m — 3277) + 3(2fti + 77— 13)/c,
(/ )= 2( 3m 2 + 3mft-4m 2 -32m + 28ft) + 3( m + 2ft-13)i;
(4)
( . ) = 10ft — lOwi + 6k = 8777— 877+67,
( / ) = 877 — 8777 + 6k = IO777 — IO77 + 6t.
C. VI.
777 — 77)
777 — 77)
