HP Prime Graphing NW280AAABA manual Test, Radius, Iscollinear, Isconcyclic, Isconjugate

If GA is the point at (0, 0), GB is the point at (1, 0), and GC is defined as square(GA, GB-GA), then perimeter(GC) returns 4.

radius

Returns the radius of a circle.

radius(circle)

Example:

If GA is the point at (0, 0), GB is the point at (1, 0), and GC is defined as circle(GA, GB-GA), then radius(GC) returns 1.

Test

is_collinear

Takes a set of points as argument and tests whether or not they are collinear. Returns 1 if the points are collinear and 0 otherwise.

is_collinear(point1, point2, …, pointn)

Example:

is_collinear(point(0,0), point(5,0), point(6,1)) returns 0

is_concyclic

Takes a set of points as argument and tests if they are all on the same circle. Returns 1 if the points are all on the same circle and 0 otherwise.

is_concyclic(point1, point2, …, pointn)

Example:

is_concyclic(point(-4,-2), point(-4,2), point(4,-2), point(4,2)) returns 1

is_conjugate

Tests whether or not two points or two lines are conjugates for the given circle. Returns 1 if they are and 0 otherwise.

is_conjugate(circle, point1, point2) or is_conjugate(circle, line1, line2)

186 Geometry