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geometry[circle] - define a circle
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)
the name of the circle
A, B, C
a number which is the radius of the circle
the algebraic representation of the circle (i.e., a polynomial or an equation)
(optional) list of two names representing the names of the horizontal-axis and vertical-axis
(optional) m is a name of the center of the circle to be created
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:
returns the form of the geometric object (i.e., circle2d if c is a circle).
returns the name of the center of c.
returns the radius of c.
returns the equation that represents the circle c.
returns the name of the horizontal-axis; or FAIL if the axis is not assigned a name.
returns the name of the vertical-axis; or FAIL if the axis is not assigned a name.
returns a detailed description of the given circle c.
The command with(geometry,circle) allows the use of the abbreviated form of this command.
define circle c1 from three distinct points:
name of the objectc1form of the objectcircle2dname of the centerO1coordinates of the center1,34radius of the circle25⁢1616equation of the circlem2+n2−2⁢m−32⁢n=0
define circle c2 (which is the same as c1) from two end points of a diameter
define circle c3 (which is the same as c1) from the center of the circle and its radius
define circle c4 (which is the same as c1) from its algebraic representation
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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