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Information about Rhombus

For other uses of the word rhombus, see Rhombus (disambiguation)
Two rhombi.
In geometry, a rhombus (or homb; plural rhombi) is a quadrilateral in which all of the sides are of equal length, i.e., it is awith two pairs of equal adjacent sides. The opposite sides of a kite are not parallel unless the kite is also a rhombus. The diagonals of a rhombus are perpendicular to each other. since the norms of AB and BC are equal and since the inner product is bilinear and symmetric. The inner product of the diagonals is zero if and only if they are perpendicular.

Area

The area of any rhombus is a half the product of the lengths of its diagonals:

Because the rhombus is a parallelogram with four equal sides, the area also equals the length of a side (B) multiplied by the perpendicular distance between two opposite sides(H):

Origin

The origin of the word rhombus is from the Greek word for something that spins. Euclid uses the word ρομβος; and in his translation Heath says it is apparently drawn from the Greek word ρεμβω, to turn round and round. He also points out that Archimedes used the term "solid rhombus" for two right circular cones sharing a common base. For more on the origin of the word, see rhombus at the MathWords web page.

External links

Rhombus may refer to:
  • Rhombus, a geometric shape (often colloquially described as a diamond)
  • Port Rhombus EP, an electronic music EP by Squarepusher
  • Rhombus (band), a band from New Zealand

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Geometry (Greek γεωμετρία; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences.
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quadrilateral is a polygon with four sides or edges and four vertices or corners. Sometimes, the term quadrangle is used, for etymological symmetry with triangle, and sometimes tetragon
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perpendicular (or orthogonal) to each other if they form congruent adjacent angles. The term may be used as a noun or adjective. Thus, referring to Figure 1, the line AB is the perpendicular to CD through the point B.
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Bilinear may refer to
  • Bilinear filtering, a method in computer graphics for texture filtering.
  • Bilinear form
  • Bilinear interpolation
  • Bilinear map, a type of mathematical function between vector spaces

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Area is a physical quantity expressing the size of a part of a surface. The term Surface area is the summation of the areas of the exposed sides of an object.

Units

Units for measuring surface area include:
square metre = SI derived unit

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diagonal can refer to a line joining two nonadjacent vertices of a polygon or polyhedron, or in contexts any upward or downward sloping line. The word "diagonal" was originally from the Greek διαγωνιος (diagonios
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In geometry, a parallelogram is a quadrilateral with two sets of parallel sides. The opposite sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are congruent. The three-dimensional counterpart of a parallelogram is a parallelepiped.
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Greek}}} 
Writing system: Greek alphabet 
Official status
Official language of:  Greece
 Cyprus
 European Union
recognised as minority language in parts of:
 European Union
 Italy
 Turkey
Regulated by:
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Euclid

Born fl. 300 BC

Residence Alexandria, Egypt
Nationality Greek
Field Mathematics
Known for Euclid's Elements Euclid (Greek:
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Archimedes of Syracuse (Greek: Άρχιμήδης c. 287 BC – c. 212 BC) was an ancient Greek mathematician, physicist and engineer.
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cone is a three-dimensional geometric shape consisting of all line segments joining a single point (the apex or vertex) to every point of a two-dimensional figure (the base).
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