Let be **convex** and . Suppose with ,

where is the diameter of and .

Set , then . Since , . We also have

Then

.

Using

where . Then

where is the intersection of ray with (it is unique because is convex).

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when time goes to infinity

Let be **convex** and . Suppose with ,

where is the diameter of and .

Set , then . Since , . We also have

Then

.

Using

where . Then

where is the intersection of ray with (it is unique because is convex).

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