The origin lies outside
- Tolaso J Kos
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The origin lies outside
Let $z \in \mathbb{C} \; \bigg| \; |z|<1$. The points $1-z, \; 1-z^2, \; 1-z^3$ form a triangle in the complex plane. Prove that the origin does not lie inside that triangle.
Imagination is much more important than knowledge.
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