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Friday, April 18, 2025

arithmetic – Given two factors (A and B), how can I acquire some extent a set distance alongside the road between them?


For example I’ve place A, that’s (0,0) and Place B that’s (10,5).

Now for instance I do know that place C is 5 items’ distance from place A in course to Place B.

Supplied that the equation for distance is (BX-AX)+(BY-AY)/2.

Clarification of the space equation: You normalize the indicators so each values are optimistic or destructive after which take the one with increased values, on this case BX, and take away the one with decrease values from it, on this case AX, that is for every parenthesis, in different phrases (AY-BY) as a second place could possibly be an choice if AY was larger than BY, which isn’t the case right here, so the context of the X would not matter for the ordering of Y, or Z if it was a dimension that had been current right here. After that, having all of the variations between the completely different dimensions from the factors, you sum all of them as much as acquire a single quantity after which divide that quantity by the entire variety of dimensions.

I am not utilizing coords in a globe however making readings in straight strains being 2D or 3D, so this works for me.

Again to the query:

How can I acquire place C?

The problem right here is ensuring that I get the purpose at that distance that’s between place A and place B. As a result of if I resolve the equation of distance I can acquire a number of positions round Place A that match the space standards, so how can I make sure than I select the one exactly between A and B?

Please reply in non-unity C# if attainable, pseudocode can be welcomed, however keep away from utilizing heavy math indicators troublesome to program round if attainable.

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