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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
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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 …
0
votes
0
answers
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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 …
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0
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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 …