Приклади вживання Constructible Англійська мовою та їх переклад на Українською
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whose elements will be called constructible points.
so it is possible to use this device to provide an alternate characterization of constructible numbers, namely:
This algebraic characterization of constructible numbers provides an important necessary condition for constructibility:
passing through O at the constructible points P and Q. The intersection of constructed segment PQ with constructed segment OA is the desired constructed midpoint.
More precisely, if γ is a constructible real number and γ∉ ℚ, then there is
a complex number is constructible if and only if its real
is not constructible.
the point of intersection of two lines determined by previously obtained constructible points, or the intersection of such a line
this time using the geometric definition of a constructible point, let P be a non-empty set of points in ℝ2
More precisely, γ is constructible if and only if there exists a tower of fields.
A complex number is constructible if and only if its real
More precisely, z is constructible if and only if there exists a tower of complex fields.
one finds that the degree of the minimal polynomial for a constructible point(and therefore of any constructible length)
one finds that the degree of the minimal polynomial for a constructible point(and therefore of any constructible length)
Thus, the set of constructible real numbers form a field.
Also, any constructible number is an algebraic number.
This can be proven using the field of constructible numbers.
Due to point A, 0 and 1 are constructible numbers.
As an example, the midpoint of constructed segment OA is a constructible point.
A constructible number is a coordinate of a constructible point.