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Schröder, Ernst: Vorlesungen über die Algebra der Logik. Bd. 1. Leipzig, 1890.

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Anhang 6.
7. Typus:
a b + a1 b1 c, a b + a1 b1 c1, a b c + a1 b1, a b c1 + a1 b1,
a b1 + a1 b c, a b1 + a1 b c1, a b1 c + a1 b, a b1 c1 + a1 b,
a c + a1 b c1, a c + a1 b1 c1, a b c + a1 c1, a b1 c + a1 c1,
a c1 + a1 b c, a c1 + a1 b1 c, a b c1 + a1 c, a b1 c1 + a1 c,
a b1 c1 + b c, a1 b1 c1 + b c, a b c + b1 c1, a1 b c + b1 c1,
a b1 c + b c1, a1 b1 c + b c1, a b c1 + b1 c, a1 b c1 + b1 c.
16. Typus:
a b1 + a1 b + a1 b1 c1, a b1 + a1 b + a1 b1 c, a b1 + a1 b + a b c1, a b1 + a1 b + a b c,
a b + a1 b1 + a1 b c1, a b + a1 b1 + a1 b c, a b + a1 b1 + a b1 c1, a b + a1 b1 + a b1 c,
a c1 + a1 c + a1 b1 c1, a c1 + a1 c + a1 b c1, a c1 + a1 c + a b1 c, a c1 + a1 c + a b c,
a c + a1 c1 + a1 b1 c, a c + a1 c1 + a1 b c, a c + a1 c1 + a b1 c1, a c + a1 c1 + a b c1,
a1 b1 c1 + b c1 + b1 c, a b1 c1 + b c1 + b1 c, a1 b c + b c1 + b1 c, a b c + b c1 + b1 c,
a1 b1 c + b c + b1 c1, a b1 c + b c + b1 c1, a1 b c1 + b c + b1 c1, a b c1 + b c + b1 c1
[in welchen Ausdrücken von dem ternären Gliede auch jeweils der eine,
oder aber der andere von den beiden Faktoren unterdrückt werden darf,
die in einem der übrigen mit ihm verbundenen Glieder vorkommen].
8. Typus:
a b c1 + a b1 c + a1 b c, a b c + (a b1 + a1 b) c1, a b c + b1 (a c1 + a1 c), a (b c1 + b1 c) + a1 b1 c1,
a b c + a1 (b c1 + b1 c), b (a c1 + a1 c) + a1 b1 c1, (a b1 + a1 b) c + a1 b1 c1, a b1 c1 + a1 b c1 + a1 b1 c.
15. Typus:
a b c + a1 b1 + a1 c1 + b1 c1, a b c1 + (a1 + b1) c + a1 b1, a b1 c + b (a1 + c1) + a1 c1, a b1 c1 + a1 (b + c) + b c,
a (b1 + c1) + a1 b c + b1 c1, a1 b c1 + b1 (a + c) + a c, a1 b1 c + (a + b) c1 + a b, a b + a c + b c + a1 b1 c1,
[oder: (a + b1 + c1) (a1 + b + c1) (a1 + b1 + c), (a + b1 + c) (a1 + b + c) (a1 + b1 + c1), etc.]

9. Typus:
a b + a c + b c, a b + (a + b) c1, a c + b1 (a + c), a (b1 + c1) + b1 c1,
a1 (b + c) + b c, b (a1 + c1) + a1 c1, (a1 + b1) c + a1 b1, a1 b1 + a1 c1 + b1 c1.

10. Typus:
a, a1, b, b1, c, c1.
11. Typus:
a c + b c1, a c1 + b c, a c + b1 c1, a c1 + b1 c, a1 c1 + b c a1 c + b c1, a1 c1 + b1 c, a1 c + b1 c1,
a b + b1 c, a b1 + b c, a b + b1 c1, a b1 + b c1, a1 b1 + b c, a1 b + b1 c, a1 b1 + b c1, a1 b + b1 c1,
a b + a1 c, a c + a1 b, a b + a1 c1, a c1 + a1 b, a c + a1 b1, a b1 + a1 c, a c1 + a1 b1, a b1 + a1 c1.
12. Typus:
a (b + c) + a1 b1 c1, a (b + c1) + a1 b1 c, a (b1 + c1) + a1 b c, a (b1 + c) + a1 b c1,

Anhang 6.
7. Typus:
a b + a1 b1 c, a b + a1 b1 c1, a b c + a1 b1, a b c1 + a1 b1,
a b1 + a1 b c, a b1 + a1 b c1, a b1 c + a1 b, a b1 c1 + a1 b,
a c + a1 b c1, a c + a1 b1 c1, a b c + a1 c1, a b1 c + a1 c1,
a c1 + a1 b c, a c1 + a1 b1 c, a b c1 + a1 c, a b1 c1 + a1 c,
a b1 c1 + b c, a1 b1 c1 + b c, a b c + b1 c1, a1 b c + b1 c1,
a b1 c + b c1, a1 b1 c + b c1, a b c1 + b1 c, a1 b c1 + b1 c.
16. Typus:
a b1 + a1 b + a1 b1 c1, a b1 + a1 b + a1 b1 c, a b1 + a1 b + a b c1, a b1 + a1 b + a b c,
a b + a1 b1 + a1 b c1, a b + a1 b1 + a1 b c, a b + a1 b1 + a b1 c1, a b + a1 b1 + a b1 c,
a c1 + a1 c + a1 b1 c1, a c1 + a1 c + a1 b c1, a c1 + a1 c + a b1 c, a c1 + a1 c + a b c,
a c + a1 c1 + a1 b1 c, a c + a1 c1 + a1 b c, a c + a1 c1 + a b1 c1, a c + a1 c1 + a b c1,
a1 b1 c1 + b c1 + b1 c, a b1 c1 + b c1 + b1 c, a1 b c + b c1 + b1 c, a b c + b c1 + b1 c,
a1 b1 c + b c + b1 c1, a b1 c + b c + b1 c1, a1 b c1 + b c + b1 c1, a b c1 + b c + b1 c1
[in welchen Ausdrücken von dem ternären Gliede auch jeweils der eine,
oder aber der andere von den beiden Faktoren unterdrückt werden darf,
die in einem der übrigen mit ihm verbundenen Glieder vorkommen].
8. Typus:
a b c1 + a b1 c + a1 b c, a b c + (a b1 + a1 b) c1, a b c + b1 (a c1 + a1 c), a (b c1 + b1 c) + a1 b1 c1,
a b c + a1 (b c1 + b1 c), b (a c1 + a1 c) + a1 b1 c1, (a b1 + a1 b) c + a1 b1 c1, a b1 c1 + a1 b c1 + a1 b1 c.
15. Typus:
a b c + a1 b1 + a1 c1 + b1 c1, a b c1 + (a1 + b1) c + a1 b1, a b1 c + b (a1 + c1) + a1 c1, a b1 c1 + a1 (b + c) + b c,
a (b1 + c1) + a1 b c + b1 c1, a1 b c1 + b1 (a + c) + a c, a1 b1 c + (a + b) c1 + a b, a b + a c + b c + a1 b1 c1,
[oder: (a + b1 + c1) (a1 + b + c1) (a1 + b1 + c), (a + b1 + c) (a1 + b + c) (a1 + b1 + c1), etc.]

9. Typus:
a b + a c + b c, a b + (a + b) c1, a c + b1 (a + c), a (b1 + c1) + b1 c1,
a1 (b + c) + b c, b (a1 + c1) + a1 c1, (a1 + b1) c + a1 b1, a1 b1 + a1 c1 + b1 c1.

10. Typus:
a, a1, b, b1, c, c1.
11. Typus:
a c + b c1, a c1 + b c, a c + b1 c1, a c1 + b1 c, a1 c1 + b c a1 c + b c1, a1 c1 + b1 c, a1 c + b1 c1,
a b + b1 c, a b1 + b c, a b + b1 c1, a b1 + b c1, a1 b1 + b c, a1 b + b1 c, a1 b1 + b c1, a1 b + b1 c1,
a b + a1 c, a c + a1 b, a b + a1 c1, a c1 + a1 b, a c + a1 b1, a b1 + a1 c, a c1 + a1 b1, a b1 + a1 c1.
12. Typus:
a (b + c) + a1 b1 c1, a (b + c1) + a1 b1 c, a (b1 + c1) + a1 b c, a (b1 + c) + a1 b c1,

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          <p><pb facs="#f0694" n="674"/><fw place="top" type="header">Anhang 6.</fw><lb/>
7. Typus:<lb/><hi rendition="#i">a b</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>, <hi rendition="#i">a b</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi>,<lb/><hi rendition="#et"><hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b c</hi>, <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi>, <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi>,</hi><lb/><hi rendition="#i">a c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>,<lb/><hi rendition="#et"><hi rendition="#i">a c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b c</hi>, <hi rendition="#i">a c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>, <hi rendition="#i">a b c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>, <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>,</hi><lb/><hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b c</hi>, <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b c</hi>, <hi rendition="#i">a b c</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b c</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>,<lb/><hi rendition="#et"><hi rendition="#i">a b</hi><hi rendition="#sub">1</hi><hi rendition="#i">c</hi> + <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi> + <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>, <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>.</hi><lb/>
16. Typus:<lb/><hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>, <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi> + <hi rendition="#i">a b c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi> + <hi rendition="#i">a b c</hi>,<lb/><hi rendition="#et"><hi rendition="#i">a b</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b c</hi>, <hi rendition="#i">a b</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>,</hi><lb/><hi rendition="#i">a c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi> + <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>, <hi rendition="#i">a c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi> + <hi rendition="#i">a b c</hi>,<lb/><hi rendition="#et"><hi rendition="#i">a c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>, <hi rendition="#i">a c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b c</hi>, <hi rendition="#i">a c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a b c</hi><hi rendition="#sub">1</hi>,</hi><lb/><hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>, <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>, <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b c</hi> + <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>, <hi rendition="#i">a b c</hi> + <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>,<lb/><hi rendition="#et"><hi rendition="#i">a</hi><hi rendition="#sub">1</hi><hi rendition="#i">b</hi><hi rendition="#sub">1</hi><hi rendition="#i">c</hi> + <hi rendition="#i">b c</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi> + <hi rendition="#i">b c</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b c</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b c</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi></hi><lb/>
[in welchen Ausdrücken von dem ternären Gliede auch jeweils der eine,<lb/>
oder aber der andere von den beiden Faktoren unterdrückt werden darf,<lb/>
die in einem der übrigen mit ihm verbundenen Glieder vorkommen].<lb/>
8. Typus:<lb/><hi rendition="#i">a b c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b c</hi>, <hi rendition="#i">a b c</hi> + (<hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi>) <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b c</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> (<hi rendition="#i">a c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>), <hi rendition="#i">a</hi> (<hi rendition="#i">b c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>) + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>,<lb/><hi rendition="#i">a b c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> (<hi rendition="#i">b c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>), <hi rendition="#i">b</hi> (<hi rendition="#i">a c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>) + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, (<hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi>) <hi rendition="#i">c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>.<lb/>
15. Typus:<lb/><hi rendition="#i">a b c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b c</hi><hi rendition="#sub">1</hi> + (<hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi>) <hi rendition="#i">c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi> + <hi rendition="#i">b</hi> (<hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>) + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> (<hi rendition="#i">b</hi> + <hi rendition="#i">c</hi>) + <hi rendition="#i">b c</hi>,<lb/><hi rendition="#i">a</hi> (<hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>) + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b c</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> (<hi rendition="#i">a</hi> + <hi rendition="#i">c</hi>) + <hi rendition="#i">a c</hi>, <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi> + (<hi rendition="#i">a</hi> + <hi rendition="#i">b</hi>) <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a b</hi>, <hi rendition="#i">a b</hi> + <hi rendition="#i">a c</hi> + <hi rendition="#i">b c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>,<lb/>
[oder: (<hi rendition="#i">a</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>) (<hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi> + <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>) (<hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">c</hi>), (<hi rendition="#i">a</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">c</hi>) (<hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi> + <hi rendition="#i">c</hi>) (<hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>), etc.]<lb/><milestone rendition="#hr" unit="section"/> 9. Typus:<lb/><hi rendition="#c"><hi rendition="#i">a b</hi> + <hi rendition="#i">a c</hi> + <hi rendition="#i">b c</hi>, <hi rendition="#i">a b</hi> + (<hi rendition="#i">a</hi> + <hi rendition="#i">b</hi>) <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a c</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> (<hi rendition="#i">a</hi> + <hi rendition="#i">c</hi>), <hi rendition="#i">a</hi> (<hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>) + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>,<lb/><hi rendition="#i">a</hi><hi rendition="#sub">1</hi> (<hi rendition="#i">b</hi> + <hi rendition="#i">c</hi>) + <hi rendition="#i">b c</hi>, <hi rendition="#i">b</hi> (<hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>) + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, (<hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi>) <hi rendition="#i">c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>.</hi><lb/>
10. Typus:<lb/><hi rendition="#c"><hi rendition="#i">a</hi>, <hi rendition="#i">a</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">b</hi>, <hi rendition="#i">b</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">c</hi>, <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>.</hi><lb/>
11. Typus:<lb/><hi rendition="#i">a c</hi> + <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b c</hi>, <hi rendition="#i">a c</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>, <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b c a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi> + <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>, <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>,<lb/><hi rendition="#i">a b</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>, <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b c</hi>, <hi rendition="#i">a b</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b c</hi>, <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>, <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>,<lb/><hi rendition="#i">a b</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>, <hi rendition="#i">a c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi>, <hi rendition="#i">a b</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi>, <hi rendition="#i">a c</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>, <hi rendition="#i">a c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>.<lb/>
12. Typus:<lb/><hi rendition="#i">a</hi> (<hi rendition="#i">b</hi> + <hi rendition="#i">c</hi>) + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>, <hi rendition="#i">a</hi> (<hi rendition="#i">b</hi> + <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>) + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> <hi rendition="#i">c</hi>, <hi rendition="#i">a</hi> (<hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">c</hi><hi rendition="#sub">1</hi>) + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b c</hi>, <hi rendition="#i">a</hi> (<hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">c</hi>) + <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> <hi rendition="#i">b c</hi><hi rendition="#sub">1</hi>,<lb/></p>
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[674/0694] Anhang 6. 7. Typus: a b + a1 b1 c, a b + a1 b1 c1, a b c + a1 b1, a b c1 + a1 b1, a b1 + a1 b c, a b1 + a1 b c1, a b1 c + a1 b, a b1 c1 + a1 b, a c + a1 b c1, a c + a1 b1 c1, a b c + a1 c1, a b1 c + a1 c1, a c1 + a1 b c, a c1 + a1 b1 c, a b c1 + a1 c, a b1 c1 + a1 c, a b1 c1 + b c, a1 b1 c1 + b c, a b c + b1 c1, a1 b c + b1 c1, a b1 c + b c1, a1 b1 c + b c1, a b c1 + b1 c, a1 b c1 + b1 c. 16. Typus: a b1 + a1 b + a1 b1 c1, a b1 + a1 b + a1 b1 c, a b1 + a1 b + a b c1, a b1 + a1 b + a b c, a b + a1 b1 + a1 b c1, a b + a1 b1 + a1 b c, a b + a1 b1 + a b1 c1, a b + a1 b1 + a b1 c, a c1 + a1 c + a1 b1 c1, a c1 + a1 c + a1 b c1, a c1 + a1 c + a b1 c, a c1 + a1 c + a b c, a c + a1 c1 + a1 b1 c, a c + a1 c1 + a1 b c, a c + a1 c1 + a b1 c1, a c + a1 c1 + a b c1, a1 b1 c1 + b c1 + b1 c, a b1 c1 + b c1 + b1 c, a1 b c + b c1 + b1 c, a b c + b c1 + b1 c, a1 b1 c + b c + b1 c1, a b1 c + b c + b1 c1, a1 b c1 + b c + b1 c1, a b c1 + b c + b1 c1 [in welchen Ausdrücken von dem ternären Gliede auch jeweils der eine, oder aber der andere von den beiden Faktoren unterdrückt werden darf, die in einem der übrigen mit ihm verbundenen Glieder vorkommen]. 8. Typus: a b c1 + a b1 c + a1 b c, a b c + (a b1 + a1 b) c1, a b c + b1 (a c1 + a1 c), a (b c1 + b1 c) + a1 b1 c1, a b c + a1 (b c1 + b1 c), b (a c1 + a1 c) + a1 b1 c1, (a b1 + a1 b) c + a1 b1 c1, a b1 c1 + a1 b c1 + a1 b1 c. 15. Typus: a b c + a1 b1 + a1 c1 + b1 c1, a b c1 + (a1 + b1) c + a1 b1, a b1 c + b (a1 + c1) + a1 c1, a b1 c1 + a1 (b + c) + b c, a (b1 + c1) + a1 b c + b1 c1, a1 b c1 + b1 (a + c) + a c, a1 b1 c + (a + b) c1 + a b, a b + a c + b c + a1 b1 c1, [oder: (a + b1 + c1) (a1 + b + c1) (a1 + b1 + c), (a + b1 + c) (a1 + b + c) (a1 + b1 + c1), etc.] 9. Typus: a b + a c + b c, a b + (a + b) c1, a c + b1 (a + c), a (b1 + c1) + b1 c1, a1 (b + c) + b c, b (a1 + c1) + a1 c1, (a1 + b1) c + a1 b1, a1 b1 + a1 c1 + b1 c1. 10. Typus: a, a1, b, b1, c, c1. 11. Typus: a c + b c1, a c1 + b c, a c + b1 c1, a c1 + b1 c, a1 c1 + b c a1 c + b c1, a1 c1 + b1 c, a1 c + b1 c1, a b + b1 c, a b1 + b c, a b + b1 c1, a b1 + b c1, a1 b1 + b c, a1 b + b1 c, a1 b1 + b c1, a1 b + b1 c1, a b + a1 c, a c + a1 b, a b + a1 c1, a c1 + a1 b, a c + a1 b1, a b1 + a1 c, a c1 + a1 b1, a b1 + a1 c1. 12. Typus: a (b + c) + a1 b1 c1, a (b + c1) + a1 b1 c, a (b1 + c1) + a1 b c, a (b1 + c) + a1 b c1,

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URL zu diesem Werk: https://www.deutschestextarchiv.de/schroeder_logik01_1890
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Zitationshilfe: Schröder, Ernst: Vorlesungen über die Algebra der Logik. Bd. 1. Leipzig, 1890, S. 674. In: Deutsches Textarchiv <https://www.deutschestextarchiv.de/schroeder_logik01_1890/694>, abgerufen am 11.06.2024.