Difference between revisions of "Tangents Tool"
From GeoGebra Manual
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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): | ||
| − | :* Selecting a point | + | :* Selecting a point and a conic produces all tangents through the point to the conic. |
| − | :* Selecting a line | + | :* Selecting a line and a conic produces all tangents to the conic that are parallel to the selected line. |
| − | :* Selecting a point | + | :* Selecting a point and a function produces the tangent line to the function in its point having the same x-coordinate of the selected point (e.g. if the point is ''A'', the tangent is drawn in ''x = x(A)''). |
| − | :* Selecting two circles | + | :* Selecting two circles produces the common tangents to them (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''.}} | ||
: {{Note| Type <math> y = x^2+2x+1 </math> rather than <math> f(x) = x^2 + 2x + 1 </math> if you want a '''conic''' (parabola) rather than a '''function'''.}} | : {{Note| Type <math> y = x^2+2x+1 </math> rather than <math> f(x) = x^2 + 2x + 1 </math> if you want a '''conic''' (parabola) rather than a '''function'''.}} | ||
Latest revision as of 11:47, 20 October 2015
- Tangents to a conic section can be produced in several ways (see also Tangent command):
- Selecting a point and a conic produces all tangents through the point to the conic.
- Selecting a line and a conic produces all tangents to the conic that are parallel to the selected line.
- Selecting a point and a function produces the tangent line to the function in its point having the same x-coordinate of the selected point (e.g. if the point is A, the tangent is drawn in x = x(A)).
- Selecting two circles produces the common tangents to them (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.
