query: Suppose that all the tangent lines of a regular plane curve pass through some fixed point. Prove that the curve is part of a straight line.
positive_passages.docid: 23355
positive_passages.text: A curve where all tangent lines are concurrent must be straight line
negative_passages.docid: 135129
negative_passages.text: Proving an entire  function which misses a ball is constant
negative_passages.docid: 140923
negative_passages.text: For any point outside of a circle, is there ever only one tangent to the circle that passes through the point?
negative_passages.docid: 117595
negative_passages.text: Minimum Modulus Principle for a constant fuction in a simple closed curve
negative_passages.docid: 65901
negative_passages.text: Solution verification to complex analysis problem, prove $f$ is a polynomial.
negative_passages.docid: 19146
negative_passages.text: Showing that $f$ has exactly one fixed point
negative_passages.docid: 152442
negative_passages.text: An annulus in $\mathbb R^2$ is path connected
negative_passages.docid: 115737
negative_passages.text: Tangent and Normal lines that pass through the origin
negative_passages.docid: 64504
negative_passages.text: Prove that the point of intersection of the diagonals of the trapezium lies on the line passing through the mid-points of the parallel sides
negative_passages.docid: 101712
negative_passages.text: Let $X$ be obtained by removing finitely many lines from $\mathbb{R}^3$. How do I prove $X$ is connected?
negative_passages.docid: 153767
negative_passages.text: Singular points and tangent lines
negative_passages.docid: 52316
negative_passages.text: Geodesics and Curves on a Plane
negative_passages.docid: 34506
negative_passages.text: How can I find the equation of the tangent line to the curve at the point $(-3,f(-3))$?
negative_passages.docid: 136168
negative_passages.text: Tangent planes to $2+x^2+y^2$ and that contains the $x$ axis
negative_passages.docid: 144901
negative_passages.text: Tangent to a circle through a point
negative_passages.docid: 106011
negative_passages.text: Proving it has all real roots
negative_passages.docid: 148178
negative_passages.text: What points in the complex plane satisfy $|z|=arg(z)$.