HP Prime Graphing NW280AAABA manual Iselement, Isequilateral, Isisoceles, Isorthogonal

is_element

Tests if a point is on a geometric object. Returns 1 if it is and 0 otherwise

is_element(point, object)

Example:

is_element(point 2 2 , circle(0,1)) returns 1. (---,---)

2 2

is_equilateral

Takes three points and tests whether or not they are vertices of a single equilateral triangle. Returns 1 if they are and 0 otherwise.

is_equilateral(point1, point2, point3)

Example:

is_equilateral(point(0,0), point(4,0), point(2,4)) returns 0.

is_isoceles

Takes three points and tests whether or not they are vertices of a single isosceles triangle. Returns 0 if they are not. If they are, returns the number order of the common point of the two sides of equal length (1, 2, or 3). Returns 4 if the three points form an equilateral triangle.

is_isosceles(point1, point2, point3)

Example:

is_isoscelesl(point(0,0), point(4,0), point(2,4)) returns 3.

is_orthogonal

Tests whether or not two lines or two circles are orthogonal (perpendicular). In the case of two circles, tests whether or not the tangent lines at a point of intersection are orthogonal. Returns 1 if they are and 0 otherwise.

is_orthogonal(line1, line2) or is_orthogonal(circle1, circle2)

Example:

is_orthogonal(line(y=x),line(y=-x)) returns 1.

Geometry 187