Difference between revisions of "Tangent Command"
From GeoGebra Manual
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| − | ; Tangent[Point, Conic]: Creates (all) tangents through the point to the conic section. | + | ; Tangent[ <Point>, <Conic> ] |
| − | + | : Creates (all) tangents through the point to the conic section. | |
| − | + | :{{example|1=<div><code><nowiki>Tangent[(5, 4), 4x^2 - 5y^2 = 20]</nowiki></code> yields ''x - y = 1''.</div>}} | |
| − | + | ; Tangent[ <Point>, <Function> ] | |
| − | ; Tangent[Point | + | : Creates the tangent to the function at ''x = x(A)''. |
| − | : {{Note| ''x(A)'' is the ''x''-coordinate of point ''A''.}} | + | : {{Note| ''x(A)'' is the ''x''-coordinate of the given point ''A''.}} |
| − | ; Tangent[Point, Curve]: Creates the tangent to the curve in the given point. | + | :{{example|1=<div><code><nowiki>Tangent[(1, 0), x^2]</nowiki></code> yields ''y = 2x - 1''.</div>}} |
| − | ; Tangent[ <Circle>, <Circle> ]: Creates the common tangents to the two Circles (up to 4). | + | ; Tangent[ <Point on Curve>, <Curve> ] |
| + | : Creates the tangent to the curve in the given point. | ||
| + | :{{example|1=<div><code><nowiki>Tangent[(0, 1), Curve[cos(t), sin(t), t, 0, π]]</nowiki></code> yields ''y = 1''.</div>}} | ||
| + | ; Tangent[ <x-Value>, <Function> ] | ||
| + | : Creates the tangent to the function at ''x-Value''. | ||
| + | :{{example|1=<div><code><nowiki>Tangent[1, x^2]</nowiki></code> yields ''y = 2x - 1''.</div>}} | ||
| + | ; Tangent[ <Line>, <Conic> ] | ||
| + | : Creates (all) tangents to the conic section that are parallel to the given line. | ||
| + | :{{example|1=<div><code><nowiki>Tangent[y = 4, x^2 + y^2 = 4]</nowiki></code> yields ''y = 2'' and ''y = -2''.</div>}} | ||
| + | ; Tangent[ <Circle>, <Circle> ] | ||
| + | : Creates the common tangents to the two Circles (up to 4). | ||
| + | :{{example|1=<div><code><nowiki>Tangent[x^2 + y^2 = 4, (x - 6)^2 + y^2 = 4]</nowiki></code> yields ''y = 2'', ''y = -2'', ''1.49x + 1.67y = 4.47'' and ''-1.49x + 1.67y = -4.47''.</div>}} | ||
{{Note| See also [[Image:Tool Tangents.gif]] [[Tangents Tool|Tangents]] tool.}} | {{Note| See also [[Image:Tool Tangents.gif]] [[Tangents Tool|Tangents]] tool.}} | ||
Revision as of 11:20, 9 August 2013
- Tangent[ <Point>, <Conic> ]
- Creates (all) tangents through the point to the conic section.
- Example:
Tangent[(5, 4), 4x^2 - 5y^2 = 20]yields x - y = 1.
- Tangent[ <Point>, <Function> ]
- Creates the tangent to the function at x = x(A).
- Note: x(A) is the x-coordinate of the given point A.
- Example:
Tangent[(1, 0), x^2]yields y = 2x - 1.
- Tangent[ <Point on Curve>, <Curve> ]
- Creates the tangent to the curve in the given point.
- Example:
Tangent[(0, 1), Curve[cos(t), sin(t), t, 0, π]]yields y = 1.
- Tangent[ <x-Value>, <Function> ]
- Creates the tangent to the function at x-Value.
- Example:
Tangent[1, x^2]yields y = 2x - 1.
- Tangent[ <Line>, <Conic> ]
- Creates (all) tangents to the conic section that are parallel to the given line.
- Example:
Tangent[y = 4, x^2 + y^2 = 4]yields y = 2 and y = -2.
- Tangent[ <Circle>, <Circle> ]
- Creates the common tangents to the two Circles (up to 4).
- Example:
Tangent[x^2 + y^2 = 4, (x - 6)^2 + y^2 = 4]yields y = 2, y = -2, 1.49x + 1.67y = 4.47 and -1.49x + 1.67y = -4.47.
Note: See also 
Tangents tool.
Tangents tool.
