Hyperbola can be Drawn through Four Non-Collinear Points
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Theorem
Let $A, B, C, D$ be points in the plane of which no $3$ are collinear.
Then a hyperbola can be drawn so that it passes through all points $A, B, C, D$.
Proof
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Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $4$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $4$