query: Definition of Tangent line at singular point ? and geometric meaning
positive_passages.docid: 153767
positive_passages.text: Singular points and tangent lines
negative_passages.docid: 152853
negative_passages.text: What is the intuition behind the unit normal vector being the derivative of the unit tangent vector?
negative_passages.docid: 61255
negative_passages.text: Tangent bundle : is a manifold
negative_passages.docid: 17545
negative_passages.text: Tangent lines to ellipse from external point
negative_passages.docid: 136746
negative_passages.text: Mathematical definition of the word "generic" as in "generic" singularity or "generic" map?
negative_passages.docid: 66796
negative_passages.text: Describe the set of points on the complex plane...
negative_passages.docid: 75303
negative_passages.text: Singularities using VectorPlot
negative_passages.docid: 131621
negative_passages.text: Evaluating a product of tangents
negative_passages.docid: 10309
negative_passages.text: Find the equation of the tangent line to the curve at the given point. $y = 1+2x-x^3$ at $(1,2)$
negative_passages.docid: 61641
negative_passages.text: Equations of lines tangent to an ellipse
negative_passages.docid: 155060
negative_passages.text: Confusion about definition of manifold with boundary
negative_passages.docid: 112314
negative_passages.text: On The Range Of The Tangent
negative_passages.docid: 12477
negative_passages.text: sliding a tangent line along a curve
negative_passages.docid: 152252
negative_passages.text: Tangent vector of photon
negative_passages.docid: 78235
negative_passages.text: Limit point of poles is essential singularity? Am I speaking nonsense?
negative_passages.docid: 19491
negative_passages.text: How to draw a tangent line to an arbitrary `\addplot`
negative_passages.docid: 96856
negative_passages.text: Derivative at Endpoint