Assertion: polygon's area | /r/HasProperty | positive
Facets:
value: for a counterclockwise oriented polygon
type: TRANSITIVE-OBJECT
value: for simple quadrilaterals
type: OTHER
value: according to positive orientation
type: OTHER
Source sentences:
text: If the vertices are ordered counterclockwise (that is, according to positive orientation), the signed area is positive; otherwise, it is negative.
text: Note that the signed area will be positive if the vertices V 0 V 1 V 2 are oriented counterclockwise around the triangle, and will be negative if the triangle is oriented clockwise; and so, this area computation can be used to test for a triangle's orientation.
text: Note that the signed area will be positive if the vertices V 0 V 1 V 2 are oriented counterclockwise around the triangle, and will be negative if the triangle is oriented clockwise; and so, this area computation can be used to test for a triangle's orientation.
text: For simple quadrilaterals, the area is positive when the vertices are oriented counterclockwise, and negative when they are clockwise.
text: Notice that, for a counterclockwise oriented polygon, when the point P is on the "inside" left side of an edge , then the area of is positive; whereas, when P is on the "outside" right side of an edge , then has a negative area.