A pantograph (, from their original use for copying writing) is a
mechanical linkage
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 i ...
connected in a manner based on
parallelogram
In Euclidean geometry, a parallelogram is a simple (non- self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equa ...
s so that the movement of one pen, in tracing an image, produces identical movements in a second pen. If a line drawing is traced by the first point, an identical, enlarged, or miniaturized copy will be drawn by a pen fixed to the other. Using the same principle, different kinds of pantographs are used for other forms of duplication in areas such as
sculpting
Sculpture is the branch of the visual arts that operates in three dimensions. Sculpture is the three-dimensional art work which is physically presented in the dimensions of height, width and depth. It is one of the plastic arts. Durable sc ...
,
minting
Minting is a village and civil parish in the East Lindsey district of Lincolnshire, England. The village is situated south from the A158 road. The population (including Gautby) at the 2011 census was 286.
Minting Priory was located here.
Mi ...
,
engraving
Engraving is the practice of incising a design onto a hard, usually flat surface by cutting grooves into it with a Burin (engraving), burin. The result may be a decorated object in itself, as when silver, gold, steel, or Glass engraving, glass ...
, and
milling.
Because of the shape of the original device, a pantograph also refers to a kind of structure that can compress or extend like an
accordion
Accordions (from 19th-century German ''Akkordeon'', from ''Akkord''—"musical chord, concord of sounds") are a family of box-shaped musical instruments of the bellows-driven free-reed aerophone type (producing sound as air flows past a reed ...
, forming a characteristic
rhomboidal
Traditionally, in two-dimensional geometry, a rhomboid is a parallelogram in which adjacent sides are of unequal lengths and angles are non-right angled.
A parallelogram with sides of equal length (equilateral) is a rhombus but not a rhomboid.
...
pattern. This can be found in extension arms for wall-mounted mirrors, temporary fences,
pantographic knives,
scissor lift
An aerial work platform (AWP), also known as an aerial device, elevating work platform (EWP), cherry picker, bucket truck or mobile elevating work platform (MEWP) is a mechanical device used to provide temporary access for people or equipment t ...
s, and other
scissor mechanism
A scissors mechanism uses linked, folding supports in a criss-cross 'X' pattern.
Workings
Extension is achieved by applying pressure to the outside of a set of supports located at one end of the mechanism, elongating the crossing pattern.
This ...
s such as the
pantograph
A pantograph (, from their original use for copying writing) is a mechanical linkage connected in a manner based on parallelograms so that the movement of one pen, in tracing an image, produces identical movements in a second pen. If a line dr ...
used on electric locomotives and trams.
History
The ancient Greek engineer
Hero of Alexandria
Hero of Alexandria (; grc-gre, Ἥρων ὁ Ἀλεξανδρεύς, ''Heron ho Alexandreus'', also known as Heron of Alexandria ; 60 AD) was a Greece, Greek mathematician and engineer who was active in his native city of Alexandria, Roman Egy ...
described pantographs in his work ''Mechanics''.
In 1603,
Christoph Scheiner
Christoph Scheiner SJ (25 July 1573 (or 1575) – 18 June 1650) was a Jesuit priest, physicist and astronomer in Ingolstadt.
Biography Augsburg/Dillingen: 1591–1605
Scheiner was born in Markt Wald near Mindelheim in Swabia, earlier markgrava ...
used a pantograph to copy and scale diagrams, and wrote about the invention over 27 years later, in ''"Pantographice"'' (Rome 1631).
One arm of the pantograph contained a small pointer, while the other held a drawing implement, and by moving the pointer over a diagram, a copy of the diagram was drawn on another piece of paper. By changing the positions of the arms in the linkage between the pointer arm and drawing arm, the scale of the image produced can be changed.
In 1821, Professor
William Wallace
Sir William Wallace ( gd, Uilleam Uallas, ; Norman French: ; 23 August 1305) was a Scottish knight who became one of the main leaders during the First War of Scottish Independence.
Along with Andrew Moray, Wallace defeated an English army a ...
(1768–1843) invented the eidograph to improve upon the practical utility of the pantograph. The eidograph relocates the fixed point to the center of the parallelogram and uses a narrow parallelogram to provide improved mechanical advantages.
Uses
Drafting
The original use of the pantograph was for copying and
scaling
Scaling may refer to:
Science and technology
Mathematics and physics
* Scaling (geometry), a linear transformation that enlarges or diminishes objects
* Scale invariance, a feature of objects or laws that do not change if scales of length, energ ...
line drawings
Line most often refers to:
* Line (geometry), object with zero thickness and curvature that stretches to infinity
* Telephone line, a single-user circuit on a telephone communication system
Line, lines, The Line, or LINE may also refer to:
Arts ...
. Modern versions are sold as
technical toys.
File:Pantograph 2X.gif
File:Pantograph etching mechanism.JPG
File:Francis Galton's pantograph.jpg
Sculpture and minting
Sculptors use a three-dimensional version of the pantograph, usually a large boom connected to a fixed point at one end, bearing two rotating pointing needles at arbitrary points along this boom. By adjusting the needles different enlargement or reduction ratios can be achieved. This device, now largely overtaken by
computer guided router systems that
scan
Scan may refer to:
Acronyms
* Schedules for Clinical Assessment in Neuropsychiatry (SCAN), a psychiatric diagnostic tool developed by WHO
* Shared Check Authorization Network (SCAN), a database of bad check writers and collection agency for bad ...
a
model
A model is an informative representation of an object, person or system. The term originally denoted the Plan_(drawing), plans of a building in late 16th-century English, and derived via French and Italian ultimately from Latin ''modulus'', a mea ...
and can produce it in a variety of materials and in any desired size,
was invented by inventor and steam pioneer
James Watt
James Watt (; 30 January 1736 (19 January 1736 OS) – 25 August 1819) was a Scottish inventor, mechanical engineer, and chemist who improved on Thomas Newcomen's 1712 Newcomen steam engine with his Watt steam engine in 1776, which was fun ...
(1736–1819) and perfected by
Benjamin Cheverton (27.09.1796 – 01.02.1876) in 1836. Cheverton's machine was fitted with a rotating cutting bit to carve reduced versions of well-known sculptures. A three-dimensional pantograph can also be used to enlarge sculpture by interchanging the position of the model and the copy.
Another version is still very much in use to reduce the size of large
relief
Relief is a sculptural method in which the sculpted pieces are bonded to a solid background of the same material. The term ''relief'' is from the Latin verb ''relevo'', to raise. To create a sculpture in relief is to give the impression that the ...
designs for
coin
A coin is a small, flat (usually depending on the country or value), round piece of metal or plastic used primarily as a medium of exchange or legal tender. They are standardized in weight, and produced in large quantities at a mint in order t ...
s down to the required size of the coin.
Acoustic cylinder duplication
One advantage of
phonograph
A phonograph, in its later forms also called a gramophone (as a trademark since 1887, as a generic name in the UK since 1910) or since the 1940s called a record player, or more recently a turntable, is a device for the mechanical and analogu ...
and gramophone discs over cylinders in the 1890s—before electronic amplification was available—was that large numbers of discs could be stamped quickly and cheaply. In 1890, the only ways of manufacturing copies of a master cylinder were to mold the cylinders (which was slow and, early on, produced very poor copies), or to acoustically copy the sound by placing the horns of two phonographs together or to hook the two together with a rubber tube (one phonograph recording and the other playing the cylinder back). Instead of copying a master cylinder, the other alternative was to record a performance to multiple gramophones simultaneously, over and over again, making each cylinder a master copy.
Edison
Thomas Alva Edison (February 11, 1847October 18, 1931) was an American inventor and businessman. He developed many devices in fields such as electric power generation, mass communication, sound recording, and motion pictures. These invention ...
,
Bettini Bettini is a surname of Italian origin and it may refer to:
*Alessandro Bettini (1821–1898), Italian tenor involved in the UK legal case of Bettini v Gye
* Amalia Bettini (1809–1894), Italian stage actress
*Antonio Bettini (1396–1487), Italia ...
,
Leon Douglass
Leon Forrest Douglass (March 12, 1869 – September 7, 1940) was an American inventor and co-founder of the Victor Talking Machine Company who registered approximately fifty patents, mostly for film and sound recording techniques.
Life and profes ...
and others solved this problem (partly) by mechanically linking a cutting stylus and a playback stylus together and copying the "hill-and-dale" grooves of the cylinder mechanically. When molding improved somewhat, molded cylinders were used as pantograph masters. This was employed by Edison and
Columbia in 1898, and was used until about January 1902 (Columbia brown waxes after this were molded). Some companies like the
United States Phonograph Company of
Newark, New Jersey
Newark ( , ) is the most populous city in the U.S. state of New Jersey and the seat of Essex County and the second largest city within the New York metropolitan area.[Pathé
Pathé or Pathé Frères (, styled as PATHÉ!) is the name of various French people, French businesses that were founded and originally run by the Pathé Brothers of France starting in 1896. In the early 1900s, Pathé became the world's largest ...]
employed this system with mastering their vertically-cut records until 1923; a , master cylinder, rotating at a high speed, would be recorded on. This was done as the resulting cylinder was considerably loud and of very high fidelity. Then, the cylinder would be placed on the mandrel of a duplicating pantograph that would be played with a stylus on the end of a lever, which would transfer the sound to a wax disc master, which would be electroplated and be used to stamp copies out. This system resulted in some fidelity reduction and rumble, but relatively high quality sound.
Edison Diamond Disc Records were made by recording ''directly'' onto the wax master disc.
Milling machines
Before the advent of control technologies such as
numerical control
Numerical control (also computer numerical control, and commonly called CNC) is the automated control of machining tools (such as drills, lathes, mills, grinders, routers and 3D printers) by means of a computer. A CNC machine processes a pi ...
(NC and CNC) and
programmable logic control
A programmable logic controller (PLC) or programmable controller is an industrial computer that has been ruggedized and adapted for the control of manufacturing processes, such as assembly lines, machines, robotic devices, or any activity th ...
(PLC), duplicate parts being milled on a
milling machine
Milling is the process of machining using rotary cutters to remove material by advancing a cutter into a workpiece. This may be done by varying direction on one or several axes, cutter head speed, and pressure. Milling covers a wide variety of d ...
could not have their contours mapped out by moving the
milling cutter
Milling cutters are cutting tools typically used in milling machines or machining centres to perform milling operations (and occasionally in other machine tools). They remove material by their movement within the machine (e.g., a ball nose mill) ...
in a "connect-the-dots" ("by-the-numbers") fashion. The only ways to control the movement of the cutting tool were to dial the positions by hand using dexterous skill (with natural limits on a human's
accuracy and precision
Accuracy and precision are two measures of ''observational error''.
''Accuracy'' is how close a given set of measurements ( observations or readings) are to their ''true value'', while ''precision'' is how close the measurements are to each oth ...
) or to trace a cam, template, or model in some way, and have the cutter mimic the movement of the tracing stylus. If the milling head was mounted on a pantograph, a duplicate part could be cut (and at various scales of magnification besides 1:1) simply by tracing a template. (The template itself was usually made by a
tool and die maker
Tool and die makers are highly skilled crafters working in the manufacturing, manufacturing industries. Variations on the name include tool maker, toolmaker, die maker, diemaker, Moldmaker, mold maker, moldmaker or tool jig and die-maker depending ...
using
toolroom
Tool and die makers are highly skilled crafters working in the manufacturing industries. Variations on the name include tool maker, toolmaker, die maker, diemaker, mold maker, moldmaker or tool jig and die-maker depending on which area of concent ...
methods, including milling via dialing followed by hand sculpting with
files and/or
die grinder
Die grinders and rotary tools are handheld power tools used for grinding, sanding, honing, polishing, or machining material (typically metal, but also plastic or wood). All such tools are conceptually similar, with no bright dividing line betwe ...
points.) This was essentially the same concept as reproducing documents with a pen-equipped pantograph, but applied to the
machining
Machining is a process in which a material (often metal) is cut to a desired final shape and size by a controlled material-removal process. The processes that have this common theme are collectively called subtractive manufacturing, which utilizes ...
of hard materials such as metal, wood, or plastic. Pantograph
routing
Routing is the process of selecting a path for traffic in a network or between or across multiple networks. Broadly, routing is performed in many types of networks, including circuit-switched networks, such as the public switched telephone netw ...
, which is conceptually identical to pantograph milling, also exists (as does CNC routing). The Blanchard lathe, a
copying lathe developed by Thomas Blanchard, used the same essential concept.
The development and dissemination throughout industry of NC, CNC, PLC, and other control technologies provided a new way to control the movement of the milling cutter: via feeding information from a program to actuators (
servos
In control engineering a servomechanism, usually shortened to servo, is an automatic device that uses error-sensing negative feedback to correct the action of a mechanism. On displacement-controlled applications, it usually includes a built-in ...
,
selsyn
A synchro (also known as selsyn and by other brand names) is, in effect, a transformer whose primary-to-secondary coupling may be varied by physically changing the relative orientation of the two windings. Synchros are often used for measuring ...
s,
leadscrew
A leadscrew (or lead screw), also known as a power screw or translation screw,Bhandari, p. 202. is a screw (simple machine), screw used as a linkage (mechanical), linkage in a machine, to translate Rotation, turning motion into linear motion. ...
s, machine slides,
spindles, and so on) that would move the cutter as the information directed. Today most commercial machining is done via such programmable, computerized methods. Home machinists are likely to work via manual control, but computerized control has reached the home-shop level as well (it's just not yet as pervasive as its commercial counterparts). Thus pantograph milling machines are largely a thing of the past. They are still in commercial use, but at a greatly reduced and ever-dwindling level. They are no longer built new by machine tool builders, but a small market for used machines still exists. As for the magnification-and-reduction feature of a pantograph (with the scale determined by the adjustable arm lengths), it is achieved in CNC via mathematic calculations that the computer applies to the program information practically instantaneously. Scaling functions (as well as mirroring functions) are built into languages such as
G-code
G-code (also RS-274) is the most widely used computer numerical control (CNC) programming language. It is used mainly in computer-aided manufacturing to control automated machine tools, and has many variants.
G-code instructions are provided t ...
.
Other uses
Perhaps the pantograph that is most familiar to the general public is the extension arm of an adjustable wall-mounted mirror.
In another application similar to drafting, the pantograph is incorporated into a pantograph engraving machine with a revolving cutter instead of a pen, and a tray at the pointer end to fix precut lettered plates (referred to as 'copy'), which the pointer follows and thus the cutter, via the pantograph, reproduces the 'copy' at a ratio to which the pantograph arms have been set. The typical range of ratio is Maximum 1:1 Minimum 50:1 (reduction) In this way machinists can neatly and accurately
engrave
Engraving is the practice of incising a design onto a hard, usually flat surface by cutting grooves into it with a burin. The result may be a decorated object in itself, as when silver, gold, steel, or glass are engraved, or may provide an in ...
numbers and letters onto a part. Pantographs are no longer commonly used in modern engraving, with computerized laser and rotary engraving taking favor.
The device which maintains electrical contact with the
contact wire
An overhead line or overhead wire is an electrical cable that is used to transmit electrical energy to electric locomotives, trolleybuses or trams. It is known variously as:
* Overhead catenary
* Overhead contact system (OCS)
* Overhead equipmen ...
and transfers power from the wire to the
traction unit
A tractor unit (also known as a truck unit, power unit, prime mover, ten-wheeler, semi-tractor, tractor truck, semi-truck, tractor cab, truck cab, tractor rig, truck rig or big rig or simply a tractor, truck, semi or rig) is a characteristical ...
, used in
electric locomotive
An electric locomotive is a locomotive powered by electricity from overhead lines, a third rail or on-board energy storage such as a battery or a supercapacitor. Locomotives with on-board fuelled prime movers, such as diesel engines or gas ...
s and
tram
A tram (called a streetcar or trolley in North America) is a rail vehicle that travels on tramway tracks on public urban streets; some include segments on segregated right-of-way. The tramlines or networks operated as public transport are ...
s, is also called a "
pantograph
A pantograph (, from their original use for copying writing) is a mechanical linkage connected in a manner based on parallelograms so that the movement of one pen, in tracing an image, produces identical movements in a second pen. If a line dr ...
".
Some types of trains on the
New York City Subway
The New York City Subway is a rapid transit system owned by the government of New York City and leased to the New York City Transit Authority, an affiliate agency of the state-run Metropolitan Transportation Authority (MTA). Opened on October 2 ...
use end pantograph gates (which, to avoid interference, compress under spring pressure around curves while the train is en route) to prevent passengers on station platforms from falling into or riding in the gaps between the cars.
Some
commercial vehicle
A commercial vehicle is any type of motor vehicle used for transporting goods or paying passengers.
The United States defines a "commercial motor vehicle" as any self-propelled or towed vehicle used on a public highway in interstate commerce to ...
s have
windscreen wiper
A windscreen wiper, windshield wiper, wiper blade (American English), or simply wiper, is a device used to remove rain, snow, ice, washer fluid, water, or debris from a vehicle's front window. Almost all motor vehicles, including cars, truck ...
s on pantographs to allow the blade to cover more of the windscreen on each wipe.
Old-style 'baby gates' used a 2-dimensional pantograph mechanism (in a similar style to pantograph gates on subway cars) as a means of keeping toddlers away from stairways. The openings in these gates are too large to meet modern baby gate safety standards.
Herman Hollerith
Herman Hollerith (February 29, 1860 – November 17, 1929) was a German-American statistician, inventor, and businessman who developed an electromechanical tabulating machine
The tabulating machine was an electromechanical machine designed t ...
's
"Keyboard punch" used for the
1890 U.S. Census
The United States census of 1890 was taken beginning June 2, 1890, but most of the 1890 census materials were destroyed in 1921 when a building caught fire and in the subsequent disposal of the remaining damaged records. It determined the reside ...
was a pantograph design and sometimes referred to as "The Pantograph Punch".
An early 19th-century device employing this mechanism is the
polygraph
A polygraph, often incorrectly referred to as a lie detector test, is a device or procedure that measures and records several physiological indicators such as blood pressure, pulse, respiration, and skin conductivity while a person is asked an ...
, which produces a duplicate of a letter as the original is written.
In churches in many countries (generally before modern
animal welfare
Animal welfare is the well-being of non-human animals. Formal standards of animal welfare vary between contexts, but are debated mostly by animal welfare groups, legislators, and academics. Animal welfare science uses measures such as longevity ...
),
dog whipper
A dog whipper was a church official charged with removing unruly dogs from church grounds during services. They were most prominent in areas of England and continental Europe between the 16th and 19th centuries.
Those employed for the positio ...
s used 'dog tongs' with a pantograph mechanism to control dogs at a distance.
Fools in German
carnival
Carnival is a Catholic Christian festive season that occurs before the liturgical season of Lent. The main events typically occur during February or early March, during the period historically known as Shrovetide (or Pre-Lent). Carnival typi ...
s use ''stretching shears'' ("Streckschere"), a.k.a. ''Nürnberger Scissors'' (
:de:Nürnberger Schere) as ''hat snatchers'' to entertain the crowds.
The
fencing
Fencing is a group of three related combat sports. The three disciplines in modern fencing are the foil, the épée, and the sabre (also ''saber''); winning points are made through the weapon's contact with an opponent. A fourth discipline, s ...
and
swordsmanship
Swordsmanship or sword fighting refers to the skills and techniques used in combat and training with any type of sword. The term is modern, and as such was mainly used to refer to smallsword fencing, but by extension it can also be applied to a ...
manual
Manual may refer to:
Instructions
* User guide
* Owner's manual
* Instruction manual (gaming)
* Online help
Other uses
* Manual (music), a keyboard, as for an organ
* Manual (band)
* Manual transmission
* Manual, a bicycle technique similar to ...
''Ms.Thott.290.2º'' written in 1459 by
Hans Talhoffer
Hans Talhoffer (Dalhover, Talhouer, Thalhoffer, Talhofer; – after 1482) was a German fencing master. His martial lineage is unknown, but his writings make it clear that he had some connection to the tradition of Johannes Liechtenauer, the g ...
includes what appears to be an extending blade working on the same principle.
In 1886,
Eduard Selling
Eduard Selling (5 November 1834 in Ansbach – 31 January 1920 in Munich) was a German mathematician and inventor of calculating machines.
Selling studied mathematics at the Universities of Göttingen and Munich (under Philipp Ludwig von Seidel). ...
patented a prize-winning calculating machine based on the pantograph, although it was not commercially successful.
In many
cartoon
A cartoon is a type of visual art that is typically drawn, frequently animated, in an unrealistic or semi-realistic style. The specific meaning has evolved over time, but the modern usage usually refers to either: an image or series of images ...
s, the bird in a
cuckoo clock
A cuckoo clock is, typically, a pendulum clock that strikes the hours with a sound like a common cuckoo call and has an automated cuckoo bird that moves with each note. Some move their wings and open and close their beaks while leaning forwards ...
is depicted as extending on a pantograph mechanism, although this is seldom the case in actual clocks.
Expanding
fence
A fence is a structure that encloses an area, typically outdoors, and is usually constructed from posts that are connected by boards, wire, rails or netting. A fence differs from a wall in not having a solid foundation along its whole length.
...
s or
trellises use folding pantograph mechanisms, for ease of transport and storage.
Longarm quilting Longarm quilting is the process by which a longarm sewing machine is used to sew together a quilt top, quilt batting and quilt backing into a finished quilt.
The longarm sewing machine frame typically ranges from 10 feet (about 3 metres) to 14 feet ...
machine operators may trace a pantograph, paper pattern, with a laser pointer to stitch a custom pattern onto the quilt. Digitized pantographs are followed by computerized machines.
Linn Boyd Benton
Linn Boyd Benton (1844 in Little Falls, New York – 1932 in Plainfield, New Jersey) was an American typeface designer and inventor of technology for producing metal type.
The son of Congressman Charles S. Benton, he was named for his fathe ...
invented a pantographic engraving machine for type design, which was capable not only of scaling a single font design pattern to a variety of sizes, but could also condense, extend, and slant the design (mathematically, these are cases of
affine transformation
In Euclidean geometry, an affine transformation or affinity (from the Latin, ''affinis'', "connected with") is a geometric transformation that preserves lines and parallelism, but not necessarily Euclidean distances and angles.
More generally, ...
, which is the fundamental geometric operation of most systems of digital typography today, including
PostScript
PostScript (PS) is a page description language in the electronic publishing and desktop publishing realm. It is a dynamically typed, concatenative programming language. It was created at Adobe Systems by John Warnock, Charles Geschke, Doug Br ...
).
Pantographs are also used as guide frames in heavy-duty applications including
scissor lift
An aerial work platform (AWP), also known as an aerial device, elevating work platform (EWP), cherry picker, bucket truck or mobile elevating work platform (MEWP) is a mechanical device used to provide temporary access for people or equipment t ...
s,
material handling equipment Material handling equipment (MHE) is mechanical equipment used for the movement, storage, control, and protection of materials, goods and products throughout the process of manufacturing, distribution, consumption, and disposal. The different types ...
,
stage lifts and specialty hinges (such as for panel doors on boats and airplanes).
Richard Feynman
Richard Phillips Feynman (; May 11, 1918 – February 15, 1988) was an American theoretical physicist, known for his work in the path integral formulation of quantum mechanics, the theory of quantum electrodynamics, the physics of the superflu ...
used the analogy of a pantograph as a way of scaling down tools to the nanometer scale in his talk
There's Plenty of Room at the Bottom
"There's Plenty of Room at the Bottom: An Invitation to Enter a New Field of Physics" was a lecture given by physicist Richard Feynman at the annual American Physical Society meeting at Caltech on December 29, 1959. Feynman considered the possibi ...
.
Numerous trade-show displays use 3-dimensional pantograph mechanisms to support backdrops for exhibit booths. The framework expands in 2 directions (vertical and horizontal) from a bundle of connected rods into a self-supporting structure on which a fabric backdrop is hung.
The
Ultra Hand
Ultra Hand is a toy that was manufactured by Nintendo in the late 1960s. It was created in 1966 by Gunpei Yokoi, who would later design the Love Tester, the D-pad, the Game Boy, and the WonderSwan.
Ultra Hand consists of several criss-cross-conn ...
is a toy grabber that uses a pantograph device.
See also
*
Autopen
An autopen (or signing machine) is a device used for the automatic signing of a signature. Prominent individuals may be asked to provide their signatures many times a day, such as celebrities receiving requests for autographs, or politicians sig ...
*
Parallel motion
In kinematics, the parallel motion linkage is a six-bar mechanical linkage invented by the Scottish engineer James Watt in 1784 for the double-acting Watt steam engine. It allows a rod moving practically straight up and down to transmit moti ...
by James Watt
*
Spirograph
Spirograph is a geometric drawing device that produces mathematical roulette curves of the variety technically known as hypotrochoids and epitrochoids. The well-known toy version was developed by British engineer Denys Fisher and first sold in ...
*
Lettering guide
A lettering guide template is a special type of template used to write uniform characters. It consists of a sheet of plastic or other material with cut-outs of letters, numbers, and other shapes used especially for creating technical drawings. F ...
References
External links
Pantograph Java appletat mathworld.wolfram.com
Mechanism of a pantograph
{{Authority control
Art and craft toys
Linkages (mechanical)
Technical drawing tools
Copying