ArticleslgStudy

physics

Pantograph

Pantograph is a physics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Pantograph rather than just read about it. In short: A pantograph (from Greek παντ- 'all, every' and γραφ- 'to write', from its 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 mimic movements recorded by 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 or stylus fixed to…

Pantograph — main illustration
Pantograph — illustration

Key takeaways

  • Pantograph belongs to physics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Pantograph to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Pantograph from memory before moving on to harder problems.

Reference excerpt

A pantograph (from Greek παντ- 'all, every' and γραφ- 'to write', from its 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 mimic movements recorded by 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 or stylus fixed to the other. Using the same principle, different kinds of pantographs are used for other forms of duplication in areas such as sculpting, minting, engraving, and milling.

History The ancient Greek engineer Hero of Alexandria described pantographs in his work Mechanics.

In 1603, Christoph Scheiner used a pantograph to copy and scale diagrams, and wrote about the invention over 27 years later, in "Pantographice seu Ars delineandi res quaslibet per parallelogrammum lineare seu cavum" (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 (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 line drawings. Modern versions are sold as technical toys.

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 was invented by inventor and steam pioneer James Watt and perfected by Benjamin Cheverton in 1836. Cheverton's machine was fitted with a rotating cutting bit to carve reduced versions of well-known sculptures. Though now, it is largely overtaken by computer guided router systems that scan a model and can produce it in a variety of materials and in any desired size, 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 designs for coins down to the required size of the coin.

Acoustic cylinder duplication

One advantage of phonograph 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, Bettini, Leon Douglass and others solved this problem (partly) by mechanically linking a cutting stylus and a playback needle 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, supplied cylinder masters for smaller companies so that they could duplicate them, sometimes pantographically. Pantographs could turn out about 30 records per day and produce up to about 150 records per master. In theory, pantograph masters could be used for 200 or 300 duplicates if the master and the duplicate were running in reverse and the record would be duplicated in reverse. This, in theory, could extend the usability of a pantograph master by using the unworn/lesser worn part of the recording for duplication. Pathé employed this system with mastering their vertically cut records until 1923; a 5-inch-diameter (130 mm), 4-or-6-inch-long (100 or 150 mm) 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 needle 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

… excerpt ends here. Continue reading the full article.

Illustrations

Pantograph: Drafting pantograph in use
Drafting pantograph in use
Pantograph: Pantograph used for scaling a picture. The red shape is traced and enlarged.
Pantograph used for scaling a picture. The red shape is traced and enlarged.
Pantograph: Pantograph 3d rendering
Pantograph 3d rendering
Pantograph: Diagram illustrating the principles used by William Wallace's eidograph
Diagram illustrating the principles used by William Wallace's eidograph
Pantograph: Pantograph etching mechanism
Pantograph etching mechanism

Worked examples

Example 1 — a first encounter with Pantograph

Start with the simplest possible case. Write down what Pantograph claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Pantograph before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Pantograph ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Pantograph

In research
Pantograph appears in physics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Pantograph in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Pantograph is common in secondary-school and first-year university syllabi. It links to neighbouring topics Art and craft toys, Copying, Linkages (mechanical), so understanding it makes those chapters shorter.
In everyday life
Look for Pantograph outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Pantograph in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Pantograph means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Pantograph out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Pantograph in simple terms?

A pantograph (from Greek παντ- 'all, every' and γραφ- 'to write', from its 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 mimic movements recorded by a second pen. If a line drawi…

Why does Pantograph matter?

Because it connects several physics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Pantograph?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Pantograph.

Tags

  • Art and craft toys
  • Copying
  • Linkages (mechanical)
  • Technical drawing tools

Keep exploring