Conic Section Commands

Circle

Circle[Point M, Number r]: Yields a circle with midpoint M and radius r.

Circle[Point M, Segment]: Yields a circle with midpoint M whose radius is equal to the length of the given segment.

Circle[Point M, Point A]: Yields a circle with midpoint M through point A.

Circle[Point A, Point B, Point C]: Yields a circle through the given points A, B and C.

 

Note: Also see tools mode_compasses_32 Compass, mode_circle2_32 Circle with Center through Point, mode_circlepointradius_32 Circle with Center and Radius, and mode_circle3_32 Circle through Three Points

Conic

Conic[Point A, Point B, Point C, Point D, Point E]: Returns a conic section through the five given points A, B, C, D, and E.          
Note: If four of the points lie on one line the conic section is not defined.

 

Note: Also see tool mode_conic5_32 Conic through Five Points

Ellipse

Ellipse[Point F, Point G, Number a]: Creates an ellipse with focal points F and G and semimajor axis length a.        
Note: Condition: 2a > Distance[F, G]

Ellipse[Point F, Point G, Segment]: Creates an ellipse with focal points F and G where the length of the semimajor axis equals the length of the given segment.

Ellipse[Point F, Point G, Point A]: Creates an ellipse with foci F and G passing through point A.

 

Note: Also see tool mode_ellipse3_32 Ellipse

Hyperbola

Hyperbola[Point F, Point G, Number a]: Creates a hyperbola with focal points F and G and semimajor axis length a.
Note: Condition: 0 < 2a < Distance[F, G]

Hyperbola[Point F, Point G, Segment]: Creates a hyperbola with focal points F. and G where the length of the semimajor axis equals the length of segment s.

Hyperbola[Point F, Point G, Point A]: Creates a hyperbola with foci F and G passing through point A.

 

Note: Also see tool mode_hyperbola3_32 Hyperbola

OsculatingCircle

OsculatingCircle[Point, Function]: Yields the osculating circle of the function in the given point.

OsculatingCircle[Point, Curve]: Yields the osculating circle of the curve in the given point.

Parabola

Parabola[Point F, Line g]: Returns a parabola with focal point F and directrix g.

 

Note: Also see tool mode_parabola_32 Parabola


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