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A,B,C,D coordinates are known, how can I calculate E coordinates?

graphic

Thanks

mathematics2x2life
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Kevin Castejon
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    Find equations of the two lines, solve them algebraically to obtain the intersection point E. – stoic-santiago Sep 10 '17 at 18:59
  • thanks for your anwser, I'm pretty noob about Math and geometry.. I'm trying to build a mini game and I need to write some algo to find that intersection. I have no idea what "Find equations of the two lines" and "solve them algebraically" means.. – Kevin Castejon Sep 10 '17 at 19:02
  • I do not believe that you know what "circle" and "chord" and "radius" are but do not understand what "equations" and "algebra" mean. There are plenty of examples to be found, and the special case where A is (0, 0) should simplify the general case. – Weather Vane Sep 10 '17 at 19:11
  • I just learned what chord means cause I've already search a lot about my problem but I can't find that specific case and I'm not able to expand or deduct from another case.. I believe I got to deal with angles but I don't know where to go – Kevin Castejon Sep 10 '17 at 19:14
  • Here is one example although there is a typo in the last equation where $U_{a}$ should be $U_{b}$. – Weather Vane Sep 10 '17 at 19:17
  • Another reference has a general formula for intersection of the two lines through points z1,z2 and z3,z4. – g.kov Sep 10 '17 at 19:24
  • thank you guys, but I think solving this is too high level for me.. – Kevin Castejon Sep 10 '17 at 19:36
  • @LePioo if this is too high level, then MSE is probably wrong website to get an answer. – Χpẘ Sep 10 '17 at 19:51
  • Sorry about that, I thought the answer would be more simple to understand, should I close or delete it? – Kevin Castejon Sep 10 '17 at 19:55
  • I've made a simplification of my problem here https://math.stackexchange.com/questions/2424445/find-3rd-point-of-triangle-with-the-opposite-angle – Kevin Castejon Sep 10 '17 at 20:31

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