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139 bytes added ,  23:17, October 1, 2007
At their point of intersection, the curve and the line have exactly the same slope
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<math>\tan \theta = \frac{\sin \theta}{\cos \theta} = \cot \left(\frac{\pi}{2} - \theta \right) = \frac{1}{\cot \theta} \,</math>
 
<math>\tan \theta = \frac{\sin \theta}{\cos \theta} = \cot \left(\frac{\pi}{2} - \theta \right) = \frac{1}{\cot \theta} \,</math>
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Lines which intersect a [[circle]] or [[curve]] at only one, unique point are said to be tangent to that circle or curve.
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In [[analytic geometry]], a line which intersect a [[circle]] or [[curve]] at only one, unique point is said to be tangent to that circle or curve. At their point of intersection, the curve and the line have exactly the same [[slope]].
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Compare: [[Asymptote]]
    
[[Category:Mathematics]]
 
[[Category:Mathematics]]
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