Аналитическая геометрия. Часть III. Многомерные пространства. Гиперповерхности второго порядка. Шурыгин В.В. - 70 стр.

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E
2
(−1) ϕ
a
11
(x
1
)
2
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x
1
x
2
+ a
22
(x
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x
1
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x
2
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= 0,
I. A(v
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2
+ B(v
2
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2
. II. A(v
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2
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2
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2
. III. A(v
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, A, B > 0.
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1
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3
◦
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x
2
a
2
+
y
2
b
2
= 0
a > b
1
a
2
+
1
b
2
= 1
II
4
◦
.
x
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y
2
b
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= 1
5
◦
.
x
2
a
2
−
y
2
b
2
= 0 a > b
1
a
2
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b
2
= 1
III
6
◦
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2
= 2px
7
◦
. x
2
= a
2
8
◦
. x
2
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2
9
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2
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1
◦
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◦
E
2
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