geometry assuming the parallel postulate of Euclid: in a plane, given a line and a point not on that line, there is exactly one line parallel to the given line through the given point.

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construct a triangle with a compass and a ruler, given $a, B, t_a$

If $a, b, c$ are the side lengths of a triangle, $A,B,C$ are the opposite internal angles, respectively, and $t_a, t_b, t_c$ are internal bisectors of the angles $A,B,C$, how could I construct a ...