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geometry[circle] - define a circle
Calling Sequence
circle(c, [A, B, C], n, 'centername'=m)
circle(c, [A, B], n, 'centername'=m)
circle(c, [A, rad], n, 'centername'=m)
circle(c, eqn, n, 'centername'=m)
Parameters
c
-
the name of the circle
A, B, C
three points
rad
a number which is the radius of the circle
eqn
the algebraic representation of the circle (i.e., a polynomial or an equation)
n
(optional) list of two names representing the names of the horizontal-axis and vertical-axis
'centername'=m
(optional) m is a name of the center of the circle to be created
Description
A circle is the set of all points in a plane that have the same distance from the center.
A circle c can be defined as follows:
from three points A, B, C. The input is a list of three points.
from the two endpoints of a diameter of the circle c. The input is a list of two points.
from the center of c and its radius. The input is a list of two elements where the first element is a point, the second element is a number.
from its internal representation eqn. The input is an equation or a polynomial. If the optional argument n is not given:
if the two environment variables _EnvHorizontalName and _EnvVerticalName are assigned two names, these two names will be used as the names of the horizontal-axis and vertical-axis respectively.
if not, Maple will prompt for input of the names of the axes.
To access the information relating to a circle c, use the following function calls:
form(c)
returns the form of the geometric object (i.e., circle2d if c is a circle).
center(c)
returns the name of the center of c.
radius(c)
returns the radius of c.
Equation(c)
returns the equation that represents the circle c.
HorizontalName(c)
returns the name of the horizontal-axis; or FAIL if the axis is not assigned a name.
VerticalName(c)
returns the name of the vertical-axis; or FAIL if the axis is not assigned a name.
detail(c);
returns a detailed description of the given circle c.
The command with(geometry,circle) allows the use of the abbreviated form of this command.
Examples
define circle c1 from three distinct points:
define circle (which is the same as ) from two end points of a diameter
define circle (which is the same as ) from the center of the circle and its radius
define circle (which is the same as ) from its algebraic representation
See Also
geometry[Apollonius], geometry[area], geometry[AreOrthogonal], geometry[AreTangent], geometry[CircleOfSimilitude], geometry[draw], geometry[FindAngle], geometry[HorizontalName], geometry[intersection], geometry[IsOnCircle], geometry[objects], geometry[Pole], geometry[powerpc], geometry[RadicalAxis], geometry[RadicalCenter], geometry[randpoint], geometry[similitude], geometry[TangentLine], geometry[tangentpc], geometry[VerticalName]
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