]> geometry.owl 0.2 Ed Shaya, University of Maryland This ontology covers geometry basic constructs angle less than 90 degree Amplitude of a vector Consists of two rays with the same endPoint Angle swept out by a ray with endPoint at center of rotation The length of a section of a circl Geometric area of a 2-d region. vector from origin in a fiducial direction Arbitrary oriented projectino plane Angle from a fiducial direction (usually the x-direction). In astronomy, the angle to a celstial object, for an observer, measured along the the horizon clockwise from North to the zenith line (A line perpendicular to the horizon to the object). 2 Coordinate System with orthogonal coordinates Center found by weighting each point by its mass density. chord of a cirlce. Endpoints are on the circle. Base is circle Component of a vector Polygon with at least one obtuse interior angle Polygon with all internal angles acute. For example the xCoordinate or the r-radius. Not it's value. That would be the coordinateComponent. area of a slice through a solid 3 r,z,Theta system LineSegment that joins two non-consecutive vertices in a Polygo Chord going through the center of the circle or sphere Shrinks Shape toward a center point. A (usually, unit) vector in a given direction, defined as the direction along the line from fromPoint to toPoint. A parabola is the set of points equidistant from the focus and the directrix line. LineSegment at the intersection of two faces of a Polyhedron. Triangle with 3 equal side Polygon bounding a polyhedron ParabolaFocus: Parabola is set of points equidistant from focus and directric Ellipse: Ellipse is set of points equidistant from two foci Hyperbola: Hyperbola is set of points whose difference in distance from two foci is a constant. Center found by weighing all points in the shape equally. Anything in Geometry Path of double pendulum at a right angle Curves generated by the parametric equations x(t) = A(t)cos(wx*t - deltax y(t) = B(t)sin(wy*t - deltay Where A and B decay exponentially with time. 6 sided Polygo Set of points that two Regions or Shapes have in common. Projection plane intersects the three coordinate axes at the same distance from the origin. Triangle with 2 equal side An infinite continuous straight collection of point 1 2 LineSegment is defined by its two endpoint Curves generated by the parametric equations x(t) = Acos(wx*t - deltax y(t) = Bsin(wy*t - deltay Circle and ellipse are subclasses. Angle greater than 90 degree 8 sided polygon Polyhedron with 8 faces. Origin of CoordinateSystem Projection lines are perpendicular to the projection plane. Quadralateral with 2 pairs of parallel sides Projection lines parallel Projection lines not parallel 2-d shape that extends without end in two directions. 0 Angle measured from a Polar Direction (usually the z-axis). 2 pole One of 2 points on a sphere where the normal intersects the equator at a right angle. Also, the direction in spherical coordinates where the theta is + or - 90 degrees and phi is undefined. A 3-D shape of polygons called faces enclosing a solid region. Polyhedron with two Congruent faces and with the other faces Parallelograms. A ProjectorShape is projected geometrically onto a Projection Shape. Polyhedron in which the base is a polygon and the lateral faces are triangles with a common vertex. radius Parallelogram with interior angles being right angles. A Parallelogram with 4 congruent sides. Angle of 90 degrees Triangle with a RightAngle LineSegment of a Polygon A set of orthogonal dimensions 3 Rectangle with all 4 sides equal Area of any surface Quadrilateral with 2 parallel side Point where two LineSeqments meet. Point on a parabola with normal that passes through the focus. Value along X-axis Value along Y-axis Value along Z-axis Minimum gngle from the tangent plane to a sphere to a point off the sphere. In astronomy the angle from the celestial object to the horizon. gives the Dimensions that span the space. Must be consistent with the number in hasDimensionality. Any section of the Space Says Domain space is superset of Range Space Inverse of hasSlice. Points to a larger Space that contains this Space.