If light only have one kind of color light, and it through a prism, the result should be below.
If light is consist of two kind of color light.
If light is consist of three kind of color light.
We know that when three primary color combine, they can form other color.
when red combine with green, it become yellow and when green combine with blue it become cyan.
So the result should like that.
We can see that the picture of "If light consist of three kind of color" is very similar to goethe observation in goethe color theory and some light through a prism photo.
So I think the color we see after light through a prism, yellow is the combination of red and green,
cyan is the combination of green and blue.
Otherwise, there a photo about sunlight through a prism, and it seem like three color overlap together.
We can see it seem like three circle overlap together.
There also a little experiment about prism. It only need to prepare a piece of black paper and white and coloured paper strips, to get a better result, it should be better to prepare triangle like shape paper to do this experiment. (1)
Put a triangle like shape of white paper on a dark surface and look at it through a prism. You can see it seem like three triangle overlap together and this pattern seem like red light, green light and blue light overlap together.
There a result about using white lamp.
And this is the result using sunlight.
Reference:
1. http://www.itp.uni-hannover.de/~zawischa/ITP/prism.html
Photo:
http://www.gadgetscience.com/explanation-of-color-from-a-prism/









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