Difference between revisions of "Tangents Tool"

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:* Selecting a line ''g'' and a conic ''c'' produces all tangents to ''c'' that are parallel to line ''g''.
 
:* 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 a point ''A'' and a function ''f'' produces the tangent line to ''f'' in ''x = x(A)''.  
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:* 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| ''x(A)'' represents the ''x''-coordinate of point ''A''. If point ''A'' lies on the function graph, the tangent runs through point ''A''.}}

Revision as of 23:25, 29 June 2011

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.
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