Grid Form

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Grid Form

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This Graph menu command changes the grid appearance and scaling of the marked coordinate system.

Sketchpad’s coordinate systems can have several possible forms:

Polar Grid: A polar coordinate system has a set of grid lines that are circles (at a constant distance from the origin, or r value) and a set of grid lines that pass through the origin (at a constant angle from the origin, or θ value). Any coordinate system can be made polar.

If the horizontal and vertical axes of a polar coordinate system have different scaling, the constant-distance grid lines appear as ellipses rather than circles.

Polar

Polar

Square Grid: A square coordinate system has the same scaling on the horizontal and vertical axes and has grid lines that are horizontal (at a constant y value) and vertical (at a constant x value). Any coordinate system, except one defined in terms of two different distances, can be made square.

Square

Square

Rectangular Grid: A rectangular coordinate system has independent scaling for the horizontal and vertical axes and has grid lines that are horizontal (constant y value) and vertical (constant x value). Any coordinate system, except one defined in terms of a unit circle, can be made rectangular.

 

Rectangular

Rectangular

Trigonometric Axis: The horizontal axis is numbered with fractions and multiples of π. You can use a trigonometric axis on any kind of coordinate system.

When you choose trigonometric axes for a polar grid, both axes become trigonometric.

You can turn trigonometric numbering on or off for any axis by selecting it and choosing Edit | Properties | Axis.

 

Square with Trigonometric Axis

Square with Trigonometric Axis

If you choose one of these commands with a sketch that doesn’t yet have a coordinate system, Sketchpad creates a default coordinate system with the chosen form.