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单词 equilateral
释义

Definition of equilateral in English:

equilateral

adjective ˌiːkwɪˈlat(ə)r(ə)lˌɛkwɪˈlat(ə)r(ə)l
  • Having all its sides of the same length.

    an equilateral triangle
    Example sentencesExamples
    • The vibration exciter and geophone were placed near the burrow with burrow opening, exciter and geophone occupying the three corners of an equilateral triangle having sides one meter in length.
    • For example, it's possible to slice a square into four angular pieces that can be rearranged into an equilateral triangle.
    • An equilateral triangle of side length one is called a unit triangle.
    • Naturally, the axes form equilateral triangles - 27 of them.
    • An equilateral triangle produces one of the observed crop-circle patterns; three isosceles triangles generate the other crop-circle geometries.
    • One way to draw a Reuleaux triangle is to start with an equilateral triangle, which has three sides of equal length.
    • In 1772, J.L. Lagrange identified a periodic orbit in which three masses are at the corners of an equilateral triangle.
    • Then divide it into three equal pieces, and replace the middle piece with the other two sides of the equilateral triangle that has this middle piece as its base.
    • The sides of this equilateral triangle will be five million kilometres long.
    • Any given triangle, either imagined or on paper, must either be acute, right, or obtuse, and either scalene, isosceles, or equilateral, and so any given triangle cannot represent all triangles.
    • The theorem thus implies existence of the total of 18 equilateral triangles.
    • This is constructed by dividing a line into three equal parts and replacing the middle segment by the other two sides of an equilateral triangle constructed on the middle segment.
    • The most interesting results show, with a very ingenious proof, that an equilateral triangle has a greater area than any isosceles or scalene triangle with the same perimeter.
    • But the image of the centroid of the equilateral triangle (which is, of course, the point of intersection of its medians) will be different, as indicated in Figure 6.
    • If each edge has the same length and each face is an equilateral triangle, the result is a regular tetrahedron - one of the Platonic solids.
    • The Von Koch snowflake is a fractal which is constructed from an equilateral triangle as follows.
    • As an equilateral triangle rolls over one catenary, it ends up bumping into the next catenary
    • As long as the three triangles are equilateral, the ‘midpoint ‘triangle is also equilateral.’
    • Now, both the original Asymmetric Propeller and Napoleon's theorem start with three equilateral triangles and discover the fourth one by construction.
    • For a given individual, the values of the three coefficients in the ancestry vector q are given by the distances to each of the three sides of the equilateral triangle.

Origin

Late 16th century: from French équilateral or late Latin aequilateralis, from aequilaterus 'equal-sided' (based on Latin latus, later- 'side').

Rhymes

bilateral, collateral, lateral, multilateral, quadrilateral, trilateral, unilateral
 
 

Definition of equilateral in US English:

equilateral

adjective
  • Having all its sides of the same length.

    an equilateral triangle
    Example sentencesExamples
    • Then divide it into three equal pieces, and replace the middle piece with the other two sides of the equilateral triangle that has this middle piece as its base.
    • For a given individual, the values of the three coefficients in the ancestry vector q are given by the distances to each of the three sides of the equilateral triangle.
    • An equilateral triangle of side length one is called a unit triangle.
    • In 1772, J.L. Lagrange identified a periodic orbit in which three masses are at the corners of an equilateral triangle.
    • The Von Koch snowflake is a fractal which is constructed from an equilateral triangle as follows.
    • Any given triangle, either imagined or on paper, must either be acute, right, or obtuse, and either scalene, isosceles, or equilateral, and so any given triangle cannot represent all triangles.
    • As an equilateral triangle rolls over one catenary, it ends up bumping into the next catenary
    • If each edge has the same length and each face is an equilateral triangle, the result is a regular tetrahedron - one of the Platonic solids.
    • As long as the three triangles are equilateral, the ‘midpoint ‘triangle is also equilateral.’
    • The sides of this equilateral triangle will be five million kilometres long.
    • This is constructed by dividing a line into three equal parts and replacing the middle segment by the other two sides of an equilateral triangle constructed on the middle segment.
    • An equilateral triangle produces one of the observed crop-circle patterns; three isosceles triangles generate the other crop-circle geometries.
    • The vibration exciter and geophone were placed near the burrow with burrow opening, exciter and geophone occupying the three corners of an equilateral triangle having sides one meter in length.
    • The most interesting results show, with a very ingenious proof, that an equilateral triangle has a greater area than any isosceles or scalene triangle with the same perimeter.
    • One way to draw a Reuleaux triangle is to start with an equilateral triangle, which has three sides of equal length.
    • Now, both the original Asymmetric Propeller and Napoleon's theorem start with three equilateral triangles and discover the fourth one by construction.
    • For example, it's possible to slice a square into four angular pieces that can be rearranged into an equilateral triangle.
    • The theorem thus implies existence of the total of 18 equilateral triangles.
    • But the image of the centroid of the equilateral triangle (which is, of course, the point of intersection of its medians) will be different, as indicated in Figure 6.
    • Naturally, the axes form equilateral triangles - 27 of them.

Origin

Late 16th century: from French équilateral or late Latin aequilateralis, from aequilaterus ‘equal-sided’ (based on Latin latus, later- ‘side’).

 
 
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更新时间:2025/1/9 9:12:40