Examples of using Triangle has in English and their translations into Russian
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Colloquial
Any ideal triangle has an infinite perimeter.
The segment has two vertices andit lies in dimension 1. The triangle has three vertices and it lies in dimension 2.
When a triangle has 3 angles with the same size, kaldes den for ligesidet.
Hyperbolic triangles have some properties that are analogous to those of triangles in Euclidean geometry:Each hyperbolic triangle has an inscribed circle but not every hyperbolic triangle has a circumscribed circle,(see below) Its vertices can lay on a horocycle or hypercycle.
When a triangle has 3 pages with the same size, kaldes den for ligesidet.
The smaller polygon formed by removing this triangle has a 3-coloring by mathematical induction, and this coloring is easily extended to the one additional vertex of the removed triangle. .
When a triangle has 3 angles with the same size, it is called equilateral.
When a triangle has 3 pages with the same size, it is called equilateral.
When a triangle has exactly 2 angles with the same size, kaldes den ligebenet.
When a triangle has exactly 2 angles of the same size, called the isosceles.
When a triangle has exactly 2 pages with the same size, kaldes den ligebenet.
When a triangle has exactly 2 pages with the same size, called the isosceles.
Every triangle has three distinct excircles, each tangent to one of the triangle's sides.
A general form triangle has six main characteristics(see picture): three linear(side lengths a, b, c) and three angular α, β, γ.
Thus every Heronian triangle has an odd number of sides of even length, and every primitive Heronian triangle has exactly one even side.
Every Heronian triangle has a rational circumradius(the radius of its circumscribed circle): For a general triangle the circumradius equals one-fourth the product of the sides divided by the area; in a Heronian triangle the sides and area are integers.
Every Heronian triangle has a rational inradius(radius of its inscribed circle): For a general triangle the inradius is the ratio of the area to half the perimeter, and both of these are rational in a Heronian triangle. .
Every acute triangle has three inscribed squares squares in its interior such that all four of a square's vertices lie on a side of the triangle, so two of them lie on the same side and hence one side of the square coincides with part of a side of the triangle. .
Ideal triangles have a number of interesting properties: All ideal triangles are congruent.
Ideal triangles have the following properties: All ideal triangles are congruent to each other.
All triangles have a circumcircle, but not all quadrilaterals do.
When two triangles have angles with the same size, call them for all formed.
Formed All triangles have the same size, but have the same size angles.
All 15 triangles have different areas.
Hyperbolic triangles have some properties that are the opposite of the properties of triangles in spherical or elliptic geometry: The angle sum of a triangle is less than 180°.
Hyperbolic triangles have some properties that are analogous to those of triangles in spherical or elliptic geometry: Two triangles with the same angle sum are equal in area.
Therefore all Heronian triangles have at least one side that is divisible by primes of the form 4k+1.
Since Pythagorean triangles have positive integer areas, and there does not exist an infinite descending sequence of positive integers, there also cannot exist a Pythagorean triangle with square area.
When two triangles have two angles and the intervening page, which are pairs domestic large, call them for kongruente.
When two triangles have 3 pages, which are pairs domestic large, call them for Congruent.