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Questions on constructing geometrical figures using a limited set of tools. The compass and straightedge are almost always allowed, while other tools like angle trisectors and marked rulers (neusis) may be allowed depending on context.

2 votes
2 answers
55 views

Why does a geometric construction exercise has a unique solution, when two similar triangles...

Exercise: Construct a right triangle by the hypotenuse and the leg with a compass and a ruler without graduations. The solution figures: Note: The text book that I learn math with is on the Ukrain …
curioushuman's user avatar
0 votes
0 answers
32 views

How to find out how many solutions some exercise has?

I'm passing through "geometric constructions" topic and a lot of exercises have the same question in the end of their conditions: How many solutions does the exercise have ? For example, let's assu …
curioushuman's user avatar
0 votes
0 answers
47 views

How to prove that two circles can't have more then 2 intersection points?

I've just understood that any two circles can't have more then 2 points of intersection, drawing several different intersected circles. Is there a way to prove it only by "geometric constructions" met …
curioushuman's user avatar