10.8 Rule (5) for doing arithmetic in elliptic curves over real numbers states that to double a point Q, draw the tangent line and find the other point of intersection S. Then Q + Q = 2Q = S. If the tangent line is not vertical, there will be exactly one point of intersection. However, suppose the tangent line is vertical? In that case, what is the value 2Q? What is the value 3Q? | |
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