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Quadrilateral with two pairs of parallel sides
In Euclidean geometry, a parallelogram is a chiral simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing
Parallelogram
Quadrilateral with sides of equal length
polygon (having no self-intersections). A rhombus is a special case of a parallelogram and a kite. A rhombus with right angles is a square. A non-square rhombus
Rhombus
Four-sided polygon
of a parallelogram called the Varignon parallelogram. It has the following properties: Each pair of opposite sides of the Varignon parallelogram are parallel
Quadrilateral
Topics referred to by the same term
Fundamental parallelogram may mean: Fundamental pair of periods on the complex plane Primitive cell on the Euclidean plane This disambiguation page lists
Fundamental_parallelogram
Relation between sides of a right triangle
area of the parallelogram on the longest side is the sum of the areas of the parallelograms on the other two sides, provided the parallelogram on the long
Pythagorean_theorem
Theorem in geometry
of the sides of an arbitrary quadrilateral form a parallelogram, called the Varignon parallelogram. It is named after Pierre Varignon, whose proof was
Varignon's_theorem
Sides and diagonals have equal sums of squares
In mathematics, the simplest form of the parallelogram law (also called the parallelogram identity) belongs to elementary geometry. It states that the
Parallelogram_law
Convex quadrilateral with at least one pair of parallel sides
of parallelogram, and every parallelogram is a type of trapezoid. A trapezoid can also be defined as any quadrilateral that is not a parallelogram; this
Trapezoid
Hexahedron with parallelogram faces
figure formed by six parallelograms (the term rhomboid is also sometimes used with this meaning). By analogy, it relates to a parallelogram just as a cube relates
Parallelepiped
Method in physics
The parallelogram of forces is a method for solving (or visualizing) the results of applying two forces to an object. When more than two forces are involved
Parallelogram_of_force
Quadrilateral with four right angles
equiangular means that all of its angles are equal (360°/4 = 90°); or a parallelogram containing a right angle. A rectangle with four sides of equal length
Rectangle
A parallelogram steering linkage is called such because like its namesake, the two sides of the linkage run parallel to each other and are equal in distance
Parallelogram steering linkage
Parallelogram_steering_linkage
1970 studio album by Linda Perhacs
Parallelograms is an album by American psychedelic folk singer Linda Perhacs. It was produced by Leonard Rosenman. The album was largely ignored when originally
Parallelograms_(album)
Polygon with four crossed edges of two lengths
antiparallelogram is a type of self-crossing quadrilateral. Like a parallelogram, an antiparallelogram has two opposite pairs of equal-length sides,
Antiparallelogram
Size of a two-dimensional surface
that the area of the parallelogram is the same as the area of the rectangle: A = bh (parallelogram). However, the same parallelogram can also be cut along
Area
Certain parallelograms occurring in a gnomon have areas of equal size
of the gnomon states that certain parallelograms occurring in a gnomon have areas of equal size. In a parallelogram A B C D {\displaystyle ABCD} with
Theorem_of_the_gnomon
Perpendicular diameters of a circle or hyperbolic-orthogonal diameters of a hyperbola
diameters of an ellipse has a corresponding tangent parallelogram, sometimes called a bounding parallelogram (skewed compared to a bounding rectangle). In his
Conjugate_diameters
In mathematics, invariant of square matrices
of the basis vectors form a parallelogram that represents the image of the unit square under the mapping. The parallelogram defined by the columns of the
Determinant
Lamp with an adjustable balanced folding arm
the Anglepoise lamp has one parallelogram and two extension springs. One spring controls the shortest arm of a parallelogram. Parallel to this shortest
Balanced-arm_lamp
Origami folding pattern
tessellation of the surface by parallelograms. In one direction, the creases lie along straight lines, with each parallelogram forming the mirror reflection
Miura_fold
Theorem on equilateral triangles
the same way. The sum of the distances from any interior point of a parallelogram to the sides is independent of the location of the point. The converse
Viviani's_theorem
Repeating unit formed by the vectors spanning the points of a lattice
the geometry of its unit cell, which is a section of the tiling (a parallelogram or parallelepiped) that generates the whole tiling using only translations
Unit_cell
Relation between the sides of a convex quadrilateral and its diagonals
convex quadrilateral and its diagonals. It is a generalisation of the parallelogram law which in turn can be seen as generalisation of the Pythagorean theorem
Euler's_quadrilateral_theorem
triangle, choosing an arbitrary side to be its base, is likewise half of a parallelogram, again bisected along a diagonal, which can then be cut into pieces
Area_of_a_triangle
Vector sum of all forces acting upon a particle or body
complete the parallelogram ABCD. The diagonal AC of this parallelogram is the sum of the two force vectors. This is known as the parallelogram rule for the
Net_force
Mathematical operation on vectors in 3D space
(projection product). The magnitude of the cross product equals the area of a parallelogram with the vectors for sides; in particular, the magnitude of the product
Cross_product
On triangles inscribed in a circle with a diameter as an edge
CD, the diagonals of the parallelogram, are both diameters of the circle and therefore have equal length, the parallelogram must be a rectangle. All angles
Thales's_theorem
Property of segments that have the same length and the same direction
is the parallelogram property of vectors: If two segments are equipollent, then they form two sides of a (possibly degenerate) parallelogram: If a given
Equipollence_(geometry)
Bottom of a geometric figure
figure. This term is commonly applied in plane geometry to triangles, parallelograms, trapezoids, and in solid geometry to cylinders, cones, pyramids, parallelepipeds
Base_(geometry)
Joins the rear wheel of a motorcycle to its body
compressed. Parallelogram - Was first introduced commercially in 1985 on the Magni "Le Mans". Magni called the system Parallelogrammo. Various parallelogram systems
Swingarm
Characterizes spherical triangles with fixed base and area
to Euclidean parallelograms. There is one complication compared to Euclid's proof, however: The four sides of a spherical parallelogram are the great-circle
Lexell's_theorem
Trapezoid symmetrical about an axis
trapezoid whose diagonals have equal length. Note that a non-rectangular parallelogram is not an isosceles trapezoid because of the second condition, or because
Isosceles_trapezoid
Topics referred to by the same term
geometry, a plane figure formed by removing a similar parallelogram from a corner of a larger parallelogram Gnomon (journal), a German language academic journal
Gnomon_(disambiguation)
Natural number
= repunit 118,587,876,497 = 49133 = 179 127,004,500,762 = number of parallelogram polyominoes with 32 cells. 128,367,472,469 = Markov prime 134,474,581
100,000,000,000
Convex polyhedron with six faces with four edges each
with the rectangular cuboids, a parallelepiped is a cuboid with six parallelogram faces. A rhombohedron is a cuboid with six rhombus faces. A square frustum
Cuboid
Linkages of different dimensions with the same output motion
These four-bar linkages can be constructed using similar triangles and parallelograms, and the Cayley diagram (named after Arthur Cayley). Overconstrained
Cognate_linkage
Formula relating the norm and the inner product in an inner product space
product. The norm associated with any inner product space satisfies the parallelogram law: ‖ x + y ‖ 2 + ‖ x − y ‖ 2 = 2 ‖ x ‖ 2 + 2 ‖ y ‖ 2 . {\displaystyle
Polarization_identity
Way of defining a lattice in the complex plane
fundamental parallelogram. Since this mapping identifies opposite sides of the parallelogram as being the same, the fundamental parallelogram has the topology
Fundamental_pair_of_periods
Type of construction
line l, divide AB into n equal parts (n is a whole number). If any parallelogram is initially given, the following is possible: Draw a line passing through
Straightedge-only construction
Straightedge-only_construction
Figure that, added to a given figure, makes a larger figure of the same shape
is a plane figure formed by removing a similar parallelogram from a corner of a larger parallelogram; or, more generally, a figure that, added to a given
Gnomon_(figure)
Algebra associated to any vector space
magnitude of a 2-blade v ∧ w {\displaystyle v\wedge w} is the area of the parallelogram defined by v {\displaystyle v} and w , {\displaystyle w,} and, more
Exterior_algebra
Form of an object
{\displaystyle p=(1-q)^{-1},} then the quadrilateral is a parallelogram. If a parallelogram has | arg p | = | arg q |, then it is a rhombus. When p =
Shape
Line between midpoints of 2 diagonals in a 4-sided shape other than a parallelogram
midpoints of the two diagonals in a convex quadrilateral other than a parallelogram. The line segments GH and IJ that connect the midpoints of opposite
Newton_line
Division of something into two equal or congruent parts
only if it also bisects the other. Any line through the midpoint of a parallelogram bisects the area and the perimeter. All area bisectors and perimeter
Bisection
Existence of a line through two points
zonohedron has at least one parallelogram face (counting rectangles, rhombuses, and squares as special cases of parallelograms). More strongly, whenever
Sylvester–Gallai_theorem
Optical illusion
The Sander illusion or Sander's parallelogram is an optical illusion described by the German psychologist Friedrich Sander (1889–1971) in 1926. However
Sander_illusion
Optical illusion
original shape overlap in the rectangle. The overlapping area is a parallelogram, the diagonals and sides of which can be computed via the Pythagorean
Hooper's_paradox
Geometric model of the physical space
of any quadrilateral in R 3 {\displaystyle \mathbb {R} ^{3}} form a parallelogram, and hence are coplanar. A sphere in 3-space (also called a 2-sphere
Three-dimensional_space
Relates areas of three parallelograms attached to three sides of an arbitrary triangle
area theorem describes the relationship between the areas of three parallelograms attached to three sides of an arbitrary triangle. The theorem, which
Pappus's_area_theorem
Function with two complex number "periods"
prototype square becomes a prototype parallelogram that still tiles the plane. The "origin" of the lattice of parallelograms does not have to be the point 0
Doubly_periodic_function
Polygon able to tessellate edge-to-edge, without rotation
rotational symmetry around the center. A four-sided parallelogon is a parallelogram. The three-dimensional analogue of a parallelogon is a parallelohedron
Parallelogon
1998 studio album by Squarepusher
4:20 3. "Dust Switch" 4:28 4. "Curve 1" 2:06 5. "137 (Rinse)" 3:45 6. "Parallelogram Bin" 2:24 7. "Circular Flexing" 4:57 8. "Ill Descent" 2:37 9. "My Sound"
Music_Is_Rotted_One_Note
quadrilateral is equidiagonal if and only if its Varignon parallelogram, the parallelogram formed by the midpoints of its sides, is a rhombus. An equivalent
Equidiagonal_quadrilateral
Type of vector space in math
Hilbert space theory. Exact analogs of the Pythagorean theorem and parallelogram law hold in a Hilbert space. At a deeper level, perpendicular projection
Hilbert_space
Invariance of operations under geometric translation
pair. Each pair a, b defines a parallelogram, all with the same area, the magnitude of the cross product. One parallelogram fully defines the whole object
Translational_symmetry
Optical illusion
Overlaying the "hypotenuses" from both figures results in a very thin parallelogram (represented with the four red dots in the above image) with an area
Missing_square_puzzle
One of the 7 crystal systems in crystallography
vectors of unequal lengths, as in the orthorhombic system. They form a parallelogram prism. Hence two pairs of vectors are perpendicular (meet at right angles)
Monoclinic_crystal_system
generalizes that of a parallelogram in the Euclidean plane. It is named for its discoverer, Tullio Levi-Civita. Like a parallelogram, two opposite sides
Levi-Civita_parallelogramoid
Perimeter of a circle or ellipse
Hypotenuse Pythagorean theorem Circular Hyperbolic Spherical Quadrilateral Parallelogram Square Rectangle Rhombus Rhomboid Trapezoid Kite Circle Radius Diameter
Circumference
Mechanical linkage used for copying drawings
copying writing) is a mechanical linkage connected in a manner based on parallelograms so that the movement of one pen or stylus, in tracing an image, produces
Pantograph
Straight line segment that passes through the centre of a circle
Hypotenuse Pythagorean theorem Circular Hyperbolic Spherical Quadrilateral Parallelogram Square Rectangle Rhombus Rhomboid Trapezoid Kite Circle Radius Diameter
Diameter
Architectural method
the graphical means to calculate the sum of forces, Simon Stevin's parallelogram of forces and the 1725 introduction of the force polygon and funicular
Graphic_statics
are used in the expression of R N {\displaystyle {\mathbb {R} }^{N}} parallelogram area and parallelepiped volumes (and higher-dimensional generalizations
Comparison of vector algebra and geometric algebra
Comparison_of_vector_algebra_and_geometric_algebra
Instrument to measure the weight of an object
in the center of each arm from a central vertical column, creating a parallelogram. From the side of each vertical column a peg extended. To the amazement
Weighing_scale
Solid with 2 parallel n-gonal bases connected by n parallelograms
without rotation) of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel
Prism_(geometry)
Component of stress coplanar with a material cross section
The resulting shear stress, τ, deforms the cuboid's rectangular side into a parallelogram. The area involved would be the top of the parallelopiped.
Shear_stress
Natural number
443 = 435 148,035,889 = 121672 = 5293 = 236 157,115,917 = number of parallelogram polyominoes with 24 cells. 157,351,936 = 125442 = 1124 164,916,224 =
100,000,000
Zigzagging chevron pattern
bones of a fish such as a herring. The blocks can be rectangles or parallelograms. The block edge length ratios are usually 2:1, and sometimes 3:1, but
Herringbone_pattern
Optical illusion
illusion is based on a drawing of two parallelograms, identical aside from a rotation of 90 degrees. When the parallelograms are presented as tabletops, however
Shepard_tables
ellipse, converts the ellipse into a parallelogram, and takes a SIFT descriptor on the resulting parallelogram. Color information is used also to improve
3D_object_recognition
Class of periodic mathematical functions
_{1}+n\omega _{2}\mid m,n\in \mathbb {Z} \}} is called the period lattice. The parallelogram generated by ω 1 {\displaystyle \omega _{1}} and ω 2 {\displaystyle
Elliptic_function
Quadrilateral with equal perpendicular diagonals
In any quadrilateral, the four edge midpoints form a parallelogram, the Varignon parallelogram, whose sides are parallel to the diagonals and half their
Midsquare_quadrilateral
Block of Unicode symbols
▰ BLACK PARALLELOGRAM ◀ BLACK LEFT-POINTING TRIANGLE 0 ■ ▰ ◀ ■ ▰ ◀ □ WHITE SQUARE ▱ WHITE PARALLELOGRAM ◁ WHITE
Geometric Shapes (Unicode block)
Geometric_Shapes_(Unicode_block)
Concept in geometry
sides, the parallelogram will have a base of length ns, and a height h. As the number of sides increases, the length of the parallelogram base approaches
Area_of_a_circle
Formula for systems of linear equations
multiplied by this factor. Now, this last parallelogram, by Cavalieri's principle, has the same area as the parallelogram determined by ( b 1 b 2 ) = x 1 ( a
Cramer's_rule
Relates the length of a median of a triangle to the lengths of its sides
From the fact that the diagonals of a parallelogram bisect each other, the theorem is equivalent to the parallelogram law. The theorem can be proved as a
Apollonius's_theorem
Manufacturer of bicycle components
Huret and Simplex. In 1964, Suntour invented the slant-parallelogram rear derailleur. The parallelogram rear derailleur had gained prominence after Campagnolo's
SunTour
German mathematician (1826–1866)
Hypotenuse Pythagorean theorem Circular Hyperbolic Spherical Quadrilateral Parallelogram Square Rectangle Rhombus Rhomboid Trapezoid Kite Circle Radius Diameter
Bernhard_Riemann
Duplicating device using pen and ink
consists of two complete variable parallelograms ("d" and "e" in diagram): Base parallelogram: The base parallelogram is attached to two fixed pivot points
Polygraph (duplicating device)
Polygraph_(duplicating_device)
Device for manipulating an end effector
universal joints at the base. The key design feature is the use of parallelograms in the arms, which maintains the orientation of the end effector. In
Delta_robot
Branch of mathematics
Hypotenuse Pythagorean theorem Circular Hyperbolic Spherical Quadrilateral Parallelogram Square Rectangle Rhombus Rhomboid Trapezoid Kite Circle Radius Diameter
Algebraic_geometry
Periodic set of points
defines a parallelogram, all with the same area given by the magnitude of the cross product p x q. This parallelogram is a fundamental parallelogram of the
Lattice_(group)
Roughly fish-shaped mica crystal
Mica fish are lenticular, elongate lozenge, parallelogram-shaped, or lens-shaped (roughly fish-shaped) single mica crystals that are often used as shear
Mica_fish
Geometry and crystallography point array
depicted using parallelograms (which may be squares or rectangles) outlined in black. Although each of the four corners of each parallelogram connects to
Bravais_lattice
National flag
design that is 36 inches (910 mm) wide and 72 inches long. A diagonal parallelogram that runs from 2.5 inches below the top left corner to 2.5 inches above
Flag_of_Brunei
Mechanical linkage consisting of four links connected by joints in a loop
(used in Ackermann steering) Parallelogram (Parallel Motion) and Antiparallelogram (Contraparallelogram, Inverse Parallelogram, Butterfly, Bow-tie) linkages
Four-bar_linkage
Term from classical mechanics
D be the fourth corner of parallelogram ABDC shown in the figure, so that the vectors AB and AC add up by the parallelogram rule to vector AD. Then the
Areal_velocity
Historical city in Bihar, India
and a circumference of 33.8 kilometers, and was in the shape of a parallelogram and had 64 gates (that is, approximately one gate every 500 meters)
Pataliputra
Concept in topology
properties of these structures; for example, the seminorm satisfies the parallelogram identity and the uniform structure is complete. The space is not T0
Kolmogorov_space
Argentinian race car
actuated coil springs over shock absorbers, anti-roll bar (Deformable parallelogram) Suspension (rear) Double wishbones, pushrod actuated coil springs love
Chevrolet_Coupé_SS
Semi-hollow electric guitar
optional stereophonic output jack, gold plated hardware, large split parallelogram fingerboard inlays (similar to ES 175), and a thicker three-ply edge
Gibson_ES-335
Natural number
of partitions of 264 into divisors of 264 1,934,502,740 : number of parallelogram polyominoes with 27 cells. 1,934,917,632 = 725 1,977,326,743 = 711 1
1,000,000,000
Part of a sundial that casts a shadow
to the plane figure formed by removing a similar parallelogram from a corner of a larger parallelogram. Indeed, the gnomon is the increment between two
Gnomon
Medieval Crusader castle in Lebanon
Smar Jbeil as a small tower-and-bailey fortification. It has an uneven parallelogram shape, extending approximately 67 m (220 ft) along the northwest–southeast
Castle_of_Smar_Jbeil
Argentinian race car
actuated coil springs over shock absorbers, anti-roll bar (Deformable parallelogram) Suspension (rear) Double wishbones, pushrod actuated coil springs love
Dodge_GTX_(Turismo_Carretera)
American folk band
(2013, Three Lobed Recordings – Hiss Golden Messenger & Steve Gunn) Parallelogram (2015, Three Lobed Recordings -–Hiss Golden Messenger / Michael Chapman
Hiss_Golden_Messenger
Fretted string instrument
Fretboard inlays are most commonly shaped like dots, diamond shapes, parallelograms, or large blocks in between the frets. Dots are usually inlaid into
Guitar
Polyhedron with all vertices in two parallel planes
have the same number of vertices, and the lateral faces are either parallelograms or trapezoids, it is called a prismoid. If the areas of the two parallel
Prismatoid
Racing car model
actuated coil springs over shock absorbers, anti-roll bar (Deformable parallelogram) Suspension (rear) Double wishbones, pushrod actuated coil springs love
Torino_Cherokee
Relationship between two lines that meet at a right angle
Hypotenuse Pythagorean theorem Circular Hyperbolic Spherical Quadrilateral Parallelogram Square Rectangle Rhombus Rhomboid Trapezoid Kite Circle Radius Diameter
Perpendicular
PARALLELOGRAM
PARALLELOGRAM
PARALLELOGRAM
PARALLELOGRAM
Boy/Male
Tamil
Boy/Male
Hindu
A Goddess
Biblical
friend; shepherd
Boy/Male
Hindu, Indian
Lord Murugan
Girl/Female
Indian
God is Near
Female
Italian
Italian form of Hebrew Rachel, RACHELE means "ewe."
Boy/Male
Arabic
Lovely
Boy/Male
Tamil
Boy/Male
Muslim
The most high
Biblical
himself who exists
PARALLELOGRAM
PARALLELOGRAM
PARALLELOGRAM
PARALLELOGRAM
PARALLELOGRAM
n.
An equilateral parallelogram, or quadrilateral figure whose sides are equal and the opposite sides parallel. The angles may be unequal, two being obtuse and two acute, as in the cut, or the angles may be equal, in which case it is usually called a square.
a.
Having the properties of a parallelogram.
n.
A solid, the faces of which are six parallelograms, the opposite pairs being parallel, and equal to each other; a prism whose base is a parallelogram.
n.
A four-sided figure having only right angles; a right-angled parallelogram.
a.
Of or pertaining to a tetragon; having four angles or sides; thus, the square, the parallelogram, the rhombus, and the trapezium are tetragonal fingers.
n.
The space included between the boundary lines of two similar parallelograms, the one within the other, with an angle in common; as, the gnomon bcdefg of the parallelograms ac and af. The parallelogram bf is the complement of the parallelogram df.
n.
A right-lined quadrilateral figure, whose opposite sides are parallel, and consequently equal; -- sometimes restricted in popular usage to a rectangle, or quadrilateral figure which is longer than it is broad, and with right angles.
n.
The perpendicular distance from the base of a figure to the summit, or to the side parallel to the base; as, the altitude of a triangle, pyramid, parallelogram, frustum, etc.
n.
A solid whose bases or ends are any similar, equal, and parallel plane figures, and whose sides are parallelograms.
n.
An oblique-angled parallelogram like a rhomb, but having only the opposite sides equal, the length and with being different.
a.
Of or pertaining to a parallelogram; parallelogrammic.
a.
Having long sides especially, having the form of a long parallelogram.
n.
A parallelogram having four equal sides and four right angles.
a.
Alt. of Parallelogrammical
n.
A solid body which may be generated by the rotation of a parallelogram round one its sides; or a body of rollerlike form, of which the longitudinal section is oblong, and the cross section is circular.