Difference between revisions of "Tangents Tool"

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: Tangents to a conic section can be produced in several ways (see also [[Tangent Command|Tangent]] command):  
 
: Tangents to a conic section can be produced in several ways (see also [[Tangent Command|Tangent]] command):  

Revision as of 22:30, 9 March 2013


Tangents to a conic section can be produced in several ways (see also Tangent command):
  • Selecting a point A and a conic c produces all tangents through A to c.
  • Selecting a line g and a conic c produces all tangents to c that are parallel to line g.
  • Selecting a point A and a function f produces the tangent line to f in x = x(A).
  • Selecting two circles c and d produces the common tangents to the two circles (up to 4).
Note: x(A) represents the x-coordinate of point A. If point A lies on the function graph, the tangent runs through point A.
Note: Type y = x^2+2x+1 rather than f(x) = x^2 + 2x + 1 if you want a conic (parabola) rather than a function.
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