Hart's Inversors
Hart's inversors are two planar mechanisms that provide a perfect straight line motion using only rotary joints. They were invented and published by Harry Hart in 1874–5. Hart's first inversor, also known as ''Hart's W-frame'', is based on an antiparallelogram. The addition of fixed points and a driving arm make it a 6-bar linkage. It can be used to convert rotary motion to a perfect straight line by fixing a point on one short link and driving a point on another link in a circular arc. Hart's second inversor, also known as ''Hart's A-frame'', is less flexible in its dimensions, but has the useful property that the motion perpendicularly bisects the fixed base points. It is shaped like a capital A – a stacked trapezium and triangle. It is also a 6-bar linkage. Example dimensions These are the example dimensions that you see in the animations on the right. Mecanismo de Hart (2).png, Mecanismo de Hart.png, See also ...
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Harts Inversor 1
Harts may refer to: * Harts (surname) * Harts (musician), Melbourne indie musician * Harts, West Virginia, United States * Harts Stores, a regional general merchandise chain in the midwestern United States * Hong Kong Amateur Radio Transmitting Society See also * Arts * Hart (other) * Harts Bluff * Harts Hill * Harts Range * Harts River * Hearts (other) Hearts most commonly refers to: * Hearts (card game), a trick-taking game * Hearts (suit), one of the standard four suits of cards * Heart, an organ Hearts may also refer to: Music * The Hearts, an American girl group closely related to the Jay ...

Harts Inversor 2
Harts may refer to: * Harts (surname) * Harts (musician), Melbourne indie musician * Harts, West Virginia, United States * Harts Stores, a regional general merchandise chain in the midwestern United States * Hong Kong Amateur Radio Transmitting Society See also * Arts * Hart (other) * Harts Bluff * Harts Hill * Harts Range * Harts River * Hearts (other) Hearts most commonly refers to: * Hearts (card game), a trick-taking game * Hearts (suit), one of the standard four suits of cards * Heart, an organ Hearts may also refer to: Music * The Hearts, an American girl group closely related to the Jay ...

Straight Line Motion
Linear motion, also called rectilinear motion, is one-dimensional motion along a straight line, and can therefore be described mathematically using only one spatial dimension. The linear motion can be of two types: uniform linear motion, with constant velocity (zero acceleration); and non-uniform linear motion, with variable velocity (non-zero acceleration). The motion of a particle (a point-like object) along a line can be described by its position x, which varies with t (time). An example of linear motion is an athlete running a 100-meter dash along a straight track. Linear motion is the most basic of all motion. According to Newton's first law of motion, objects that do not experience any net force will continue to move in a straight line with a constant velocity until they are subjected to a net force. Under everyday circumstances, external forces such as gravity and friction can cause an object to change the direction of its motion, so that its motion cannot be described as ...
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Harry Hart (mathematician)
Harry Hart may refer to: People * Harry Hart (athlete) (1905–1979), South African discus thrower and shot putter * Harry Hart (basketball), player for Omonia B.C. * Harry Hart (footballer) (1926–2012), English footballer * Harry Hart (mathematician), inventor ~1874 of Hart's inversor Characters *Harry Hart, character in ''Something for the Boys'' *Harry Hart, character in '' Kingsman: The Secret Service'' See also * Henry Hart (other) *Harold Hart (born 1952), American football player * Harold Hart (cricketer) (1889–1953), Australian cricketer *Harry Hart Frank (1908–1964), known by the pen name Pat Frank Harry Hart "Pat" Frank (May 5, 1908 – October 12, 1964) was an American writer, newspaperman, and government consultant. Frank's best known work is the 1959 ''Alas, Babylon'', and '' Forbidden Area''. Biography Frank was born in Chicago ...

Antiparallelogram
In geometry, an antiparallelogram is a type of self-crossing quadrilateral. Like a parallelogram, an antiparallelogram has two opposite pairs of equal-length sides, but these pairs of sides are not in general parallel. Instead, sides in the longer pair cross each other as in a scissors mechanism. Antiparallelograms are also called contraparallelograms or crossed parallelograms. Antiparallelograms occur as the vertex figures of certain nonconvex uniform polyhedra. In the theory of four-bar linkages, the linkages with the form of an antiparallelogram are also called butterfly linkages or bow-tie linkages, and are used in the design of non-circular gears. In celestial mechanics, they occur in certain families of solutions to the 4-body problem. Every antiparallelogram has an axis of symmetry, with all four vertices on a circle. It can be formed from an isosceles trapezoid by adding the two diagonals and removing two parallel sides. The signed area of every antiparallelogram is z ...
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Linkage (mechanical)
A mechanical linkage is an assembly of systems connected to manage forces and movement. The movement of a body, or link, is studied using geometry so the link is considered to be rigid. The connections between links are modeled as providing ideal movement, pure rotation or sliding for example, and are called joints. A linkage modeled as a network of rigid links and ideal joints is called a kinematic chain. Linkages may be constructed from open chains, closed chains, or a combination of open and closed chains. Each link in a chain is connected by a joint to one or more other links. Thus, a kinematic chain can be modeled as a graph in which the links are paths and the joints are vertices, which is called a linkage graph. The movement of an ideal joint is generally associated with a subgroup of the group of Euclidean displacements. The number of parameters in the subgroup is called the degrees of freedom (DOF) of the joint. Mechanical linkages are usually designed to tra ...
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Quadruplanar Inversor
The Quadruplanar inversor of Sylvester and Kempe is a generalization of Hart's inversor. Like Hart's inversor, is a mechanism that provides a perfect straight line motion without sliding guides. The mechanism was described in 1875 by James Joseph Sylvester in the journal Nature (journal), Nature. Like Hart's inversor, it is based on an antiparallelogram but the rather than placing the fixed, input and output points on the sides (dividing them in fixed proportion so they are all similar), Sylvester recognized that the additional points could be displaced sideways off the sides, as long as they formed similar triangles. Hart's original form is simply the degenerate case of triangles with altitude zero. Gallery In these diagrams: * The antiparallelogram is highlighted in full opacity links. * Yellow Triangles and Green Triangles are similar. ** Green Triangles are congruent with each other. ** Yellow Triangles are congruent with each other. * Cyan links and Pink links are congru ...
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Straight Line Mechanism
A straight-line mechanism is a Mechanism (engineering), mechanism that converts any type of rotary or angular motion to perfect or near-perfect straight-line motion, or ''vice-versa''. Straight-line motion is linear motion of definite length or "stroke", every forward stroke being followed by a return stroke, giving reciprocating motion. The first such mechanism, patented in 1784 by James Watt, produced approximate straight-line motion, referred to by Watt as Watt's linkage, parallel motion. Straight-line mechanisms are used in a variety of applications, such as engines, vehicle suspensions, walking robots, and rover wheels. History In the late eighteenth century, before the development of the Planer (metalworking), planer and the milling machine, it was extremely difficult to machine straight, flat surfaces. During that era, much thought was given to the problem of attaining a straight-line motion, as this would allow the flat surfaces to be machined. To find a solution ...
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GeoGebra
GeoGebra (a portmanteau of ''geometry'' and ''algebra'') is an interactive geometry, algebra, statistics and calculus application, intended for learning and teaching mathematics and science from primary school to university level. GeoGebra is available on multiple platforms, with apps for desktops (Windows, macOS and Linux), tablets ( Android, iPad and Windows) and web. History GeoGebra's creator, Markus Hohenwarter, started the project in 2001 as part of his master's thesis at the University of Salzburg. After a successful Kickstarter campaign, GeoGebra expanded its offering to include an iPad, an Android and a Windows Store app version. 2013 GeoGebra incorporated Bernard Parisse's Xcas into its CAS view. The project is now freeware (with open-source portions) and multi-lingual, and Hohenwarter continues to lead its development at the University of Linz. GeoGebra includes both commercial and not-for-profit entities that work together from the head office in Linz, Austria ...
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Linkages (mechanical)
Linkage may refer to: * ''Linkage'' (album), by J-pop singer Mami Kawada, released in 2010 * Linkage (graph theory), the maximum min-degree of any of its subgraphs * Linkage (horse), an American Thoroughbred racehorse * Linkage (hierarchical clustering), The linkage criterion determines the distance between sets of observations as a function of the pairwise distances between observations * Linkage (linguistics), a set of languages descended from a former dialect continuum *Linkage (mechanical), assemblies of links designed to manage forces and movement *Linkage (policy), a Cold War policy of the United States of America towards the Soviet Union and Communist China *Linkage (software), a concept in computer programming * Genetic linkage, the tendency of certain genes to be inherited together *Glycosidic linkage, a type of covalent bond that joins a carbohydrate (sugar) molecule to another chemical group *Flux linkage In circuit theory, flux linkage is a property of a two-terminal ...
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Linear Motion
Linear motion, also called rectilinear motion, is one-dimensional motion along a straight line, and can therefore be described mathematically using only one spatial dimension. The linear motion can be of two types: uniform linear motion, with constant velocity (zero acceleration); and non-uniform linear motion, with variable velocity (non-zero acceleration). The motion of a particle (a point-like object) along a line can be described by its position x, which varies with t (time). An example of linear motion is an athlete running a 100-meter dash along a straight track. Linear motion is the most basic of all motion. According to Newton's first law of motion, objects that do not experience any net force will continue to move in a straight line with a constant velocity until they are subjected to a net force. Under everyday circumstances, external forces such as gravity and friction can cause an object to change the direction of its motion, so that its motion cannot be described as ...
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