scaling actual dimensions to perspective dimensions (on flat surface)? - does the solution have to use integral/derivative?

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Im Johan, new to mathematics stack exchange (second post). How are you?

I draw lots o differnt stuff and do space art with spray paint. Ive been pondering and trying to get perspective right using math. What seemed easy turned out really hard for me.

In photoed papers i wrote distance per angle. But its more like perpendicular distance to line of sight per angle. http://imgur.com/a/lQzW0ry

From looking at notes, am i on the right track at getting a way of scaling actual dimensions to perspective dimensions (on flat surface for example a piece of paper)?

Do you know of a solution that doesnt require derivative/integral? Other options?

Id like to understand and im thinking of repeating some math and learn more for fun and if necessary. But to me drawing is main hobby.

Greetings Johan

Ps dont know where to seperate question from answer. (Same link as in my answer to this question) https://i.stack.imgur.com/GVIc0.jpg

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This is what ive got so far https://i.stack.imgur.com/GVIc0.jpg

To my knowledge, yes it have to be integral, since scale varies non linear

Maybe theres another way to do it, i havent figured out

Greetings Johan