Type Command

Type( <Object> )

For conics and quadrics this command returns a number representing the conic/quadric type according to the table below. In this context empty conic (or quadric) is one where all coefficients are defined, but the conic (quadric) contains no points, e.g. x2+y2=-1. For conics GeoGebra distinguishes double line (special case of parallel lines with distance 0) and single line (special case of circle with infinite diameter, may result from circle inversion). For quadrics there is no such distinction.

Type(x²+y²=1) yields 4 which stands for circle.

Value Type of conic Type of quadric

1

Single point

Single point

2

Intersecting lines

3

Ellipse

Ellipsoid

4

Circle

Sphere

5

Hyperbola

6

Empty

Empty

7

Double line

8

Parallel lines

9

Parabola

Paraboloid

10

Line

Line

30

Cone

31

Cylinder

33

Plane

34

Parallel planes

35

Intersecting planes

36

Hyperboloid of one sheet

37

Hyperboloid of two sheets

38

Parabolic cylinder

39

Hyperbolic cylinder

40

Hyperbolic paraboloid