SOLUTION: I am looking for a formula that will show if coordinates are within or outside a set parallelogram.

Question 806276: I am looking for a formula that will show if coordinates are within or outside a set parallelogram.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Assume the coordinates of the four vertices are given and that they are

, and

. Since coordinate rotation and the labeling of the vertices is arbitrary, we can assume without loss of generality that the following inequalities hold:

and

Now write the following four inequalities using your given coordinates:

If a point on a side of the parallelogram is considered "in" the parallelogram, then change the inequality operators from strictly less than/greater than, to

Then if the coordinates of a point satisfy ALL FOUR inequalities, the point is in the parabola, otherwise it is not.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

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