Ví dụ về việc sử dụng Reuleaux trong Tiếng anh và bản dịch của chúng sang Tiếng việt
{-}
-
Colloquial
-
Ecclesiastic
-
Computer
Reuleaux triangle shaped guitar picks.
Four balls intersect to form a Reuleaux tetrahedron.
Reuleaux triangle shaped window of the Church of Our Lady, Bruges in Belgium.
The Kölntriangle building in Cologne, Germany, has a Reuleaux triangle cross-section.
The Reuleaux triangle as the central bubble in a mathematical model of a four-bubble planar soap bubble cluster.
Mọi người cũng dịch
Circular triangles are triangles with circular-arc edges, including the Reuleaux triangle as well as other shapes.
Similar maps also based on the Reuleaux triangle were published by Oronce Finé in 1551 and by John Dee in 1580.[1].
Its four vertices lie at the three corners andone of the side midpoints of the Reuleaux triangle(above to the right).[6].
Although the Reuleaux triangle has sixfold dihedral symmetry, the same as an equilateral triangle, it does not have central symmetry.
For instance, Leonardo da Vinci sketched this shape as the plan for a fortification.[42] A modern high-rise building, the Kölntriangle in Cologne, Germany,was built with a Reuleaux triangle cross-section.
Several types of machinery take the shape of the Reuleaux triangle, based on its property of being able to rotate within a square.
The Reuleaux triangle may be constructed either directly from three circles, or by rounding the sides of an equilateral triangle.[6].
In its use in Gothic church architecture,the three-cornered shape of the Reuleaux triangle may be seen both as a symbol of the Trinity,[50] and as"an act of opposition to the form of the circle".
The subset of the Reuleaux triangle consisting of points belonging to three or more diameters is the interior of the larger of these two triangles; it has a larger area than the set of three-diameter points of any other curve of constant width.
The rotor of the Wankel engine is shaped as a curvilinear triangle that is often cited as an example of a Reuleaux triangle.[ 1][ 2][ 3][ 4] However, its curved sides are somewhat flatter than those of a Reuleaux triangle and so it does not have constant width.
The Reuleaux triangle may also be interpreted as the conformal image of a spherical triangle with 120° angles.[1] This spherical triangle is one of the Schwarz triangles(with parameters 3/2, 3/2, 3/2), triangles bounded by great-circle arcs on the surface of a sphere that can tile the sphere by reflection.
The best proven upper bound on the packing density is approximately 0.947275.[26] It has also been conjectured,but not proven, that the Reuleaux triangles have the highest packing density of any curve of constant width.[27].
The RX200, a new version of Reuleaux series, designed by JayBo, still features the use of three removable 18650 batteries and reverse polarity protection.
Alternatively, a Reuleaux triangle may be constructed from an equilateral triangle T by drawing three arcs of circles, each centered at one vertex of T and connecting the other two vertices.[1] Or, equivalently, it may be constructed as the intersection of three disks centered at the vertices of T, with radius equal to the side length of T.[2].
The concept of the kinetic chain originated in 1875,when a mechanical engineer named Franz Reuleaux proposed that if a series of overlapping segments were connected via pin joints, these interlocking joints would create a system that would allow the movement of one joint to affect the movement of another joint within the kinetic link.
The Reuleaux triangle can also be generalized into three dimensions in multiple ways: the Reuleaux tetrahedron(the intersection of four balls whose centers lie on a regular tetrahedron) does not have constant width, but can be modified by rounding its edges to form the Meissner tetrahedron, which does.
The intersection of four balls of radius s centered at the vertices of a regular tetrahedron withside length s is called the Reuleaux tetrahedron, but its surface is not a surface of constant width.[68] It can, however, be made into a surface of constant width, called Meissner's tetrahedron, by replacing three of its edge arcs by curved surfaces, the surfaces of rotation of a circular arc.
The Reuleaux triangle is the least symmetric curve of constant width according to two different measures of central asymmetry, the Kovner- Besicovitch measure(ratio of area to the largest centrally symmetric shape enclosed by the curve) and the Estermann measure(ratio of area to the smallest centrally symmetric shape enclosing the curve).
Because all its diameters are the same, the Reuleaux triangle is one answer to the question"Other than a circle, what shape can a manhole cover be made so that it cannot fall down through the hole?"[2].
For the Reuleaux triangle, the two centrally symmetric shapes that determine the measures of asymmetry are both hexagonal, although the inner one has curved sides.[17] The Reuleaux triangle has diameters that split its area more unevenly than any other curve of constant width. That is, the maximum ratio of areas on either side of a diameter, another measure of asymmetry, is bigger for the Reuleaux triangle than for other curves of constant width.[18].
This can be done using a mechanism in which the rotation of a Reuleaux triangle within a square is used to create a motion pattern for an actuator that pulls the film quickly to each new frame and then pauses the film's motion while the frame is projected.[45].
However, the Reuleaux triangle is the rotor with the minimum possible area.[1] As it rotates, its axis does not stay fixed at a single point, but instead follows a curve formed by the pieces of four ellipses.[28] Because of its 120° angles, the rotating Reuleaux triangle cannot reach some points near the sharper angles at the square's vertices, but rather covers a shape with slightly rounded corners, also formed by elliptical arcs.[9].
Another class of applications of the Reuleaux triangle involves using it as a part of a mechanical linkage that can convert rotation around a fixed axis into reciprocating motion.[10] These mechanisms were studied by Franz Reuleaux.
Another early application of the Reuleaux triangle, Leonardo da Vinci's world map, by Leonardo da Vinci circa 1514(or possibly by one of his followers at his direction), was a world map in which the spherical surface of the earth was divided into eight octants, each flattened into the shape of a Reuleaux triangle.[53][54][55].
In connection with the inscribed square problem, Eggleston(1958) observed that the Reuleaux triangle provides an example of a constant-width shape in which no regular polygon with more than four sides can be inscribed, except the regular hexagon, and he described a small modification to this shape that preserves its constant width but also prevents regular hexagons from being inscribed in it.