Plane Curves of the Eighth Order With Two Real Four Fold Points Having Distinc

Elizabeth Buchanan Cowley

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The table for unipartite curves is : 1. AAAABBBB. — I D 4, 6, 7, 12, 15, 19.
II 5(3) 2', 16*, 18*. II C(2) 2, 8.
2. AAABBBAB. — 11 A (3) 10*, 12*, 13*.
II B{2) 13, 14, 16, 18.
3. AAABBABB. — 1 CI, 10, 16, 18.
II A (3) 17*, 19*. II B {2) 1, 4, 11.
PLANE CURVES OF THE EIGHTH ORDER. 11 4. AABBAABB. — I C 3.
II A (3) 1*, 6, 22*. II (7(1) 1.
5. AABBABAB. — ll A (2) 4, 5, 10, II B (1) 2.
6. AABABBAB. — I B 4.
II ^ (2) 7, 9.
There are ninety-seven forms of bipartite curves and they fall into seventeen... classes. A dash is used to separate the symbols for the two branches.
1. A-AABBABB. — II B (2) 2, 3'.
2. A-AAABBBB. — II B (3) 10", 24", 26*.
II C (2) 5, 9.
3. A-AABBBAB. — II B (2) 21, 22, 24, 26.
4. ^-^^^^5^5. -111 5 r.
5. AAA-ABBBB. — II ^ (3) 5*, 19*, 21*.
6. AAB-AABBB. — II A (3) 2*, 5*, 23", 25*.
11^(2)12, 19, 1'. II (7(1) 2.
7. AAB-ABABB. — II ^ (2) 6, 8.
II B{1) 3.
8. AA-ABABBB. — II ^ (3) 8*, IT, 14*.
II B (2) 15, 17.
9. AA-AABBBB. — I Z> 2, 5, 8, 11, 13, 16, 17, 18, 21.

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