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Gunter's chain

Gunter's chain is a science 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 Gunter's chain rather than just read about it. In short: Gunter's chain (also known as Gunter's measurement) is a distance-measuring device used for surveying. It was designed and introduced in 1620 by English clergyman and mathematician Edmund Gunter (1581–1626).

Gunter's chain — main illustration
Gunter's chain — illustration

Key takeaways

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

Reference excerpt

Gunter's chain (also known as Gunter's measurement) is a distance-measuring device used for surveying. It was designed and introduced in 1620 by English clergyman and mathematician Edmund Gunter (1581–1626). It enabled plots of land to be accurately surveyed and plotted, for legal and commercial purposes. Gunter developed a precise measuring chain of 100 links and a total length of 66 feet. These, the chain and the link, became statutory measures in England and subsequently the British Empire.

Description The 66-foot (20.1 m) chain is divided into 100 links, usually marked off into groups of 10 by brass rings or tags which simplify intermediate measurement. Each link is thus 7.92 inches (201 mm) long. A quarter chain, or 25 links, measures 16 feet 6 inches (5.03 m) and thus measures a rod (or pole). Ten chains measure a furlong and 80 chains measure a statute mile. Gunter's chain reconciled two seemingly incompatible systems: the traditional English land measurements, based on the number four, and decimals based on the number 10. Since an acre measured 10 square chains in Gunter's system, the entire process of land area measurement could be computed using measurements in chains, and then converted to acres by dividing the results by 10. Hence 10 chains by 10 chains (100 square chains) equals 10 acres, 5 chains by 5 chains (25 square chains) equals 2.5 acres. By the 1670s the chain and the link had become statutory units of measurement in England.

...a Word or two of Dimensurators or Measuring Instruments, whereof the most usual has been the Chain, and the common length for English Measures 4 Poles, as answering indifferently to the English Mile and Acre, 10 such Chains in length making a Furlong, and 10 single square Chains an Acre, so that a square Mile contains 640 square Acres...'

Method

The method of surveying a field or other parcel of land with Gunter's chain is to first determine corners and other significant locations, and then to measure the distance between them, taking two points at a time. The surveyor is assisted by a chainman. A ranging rod (usually a prominently coloured wooden pole) is placed in the ground at the destination point. Starting at the originating point the chain is laid out towards the ranging rod, and the surveyor then directs the chainman to make the chain perfectly straight and pointing directly at the ranging rod. A pin is put in the ground at the forward end of the chain, and the chain is moved forward so that its hind end is at that point, and the chain is extended again towards the destination point. This process is called ranging, or in the US, chaining; it is repeated until the destination rod is reached, when the surveyor notes how many full lengths (chains) have been laid, and he can then directly read how many links (one-hundredth parts of the chain) are in the distance being measured. The chain usually ends in a handle which may or may not be part of the measurement. An inner loop (visible in the NMAH photograph) is the correct place to put the pin for some chains. Many chains were made with the handles as part of the end link and thus were included in the measurement. The whole process is repeated for all the other pairs of points required, and it is a simple matter to make a scale diagram of the plot of land. The process is surprisingly accurate and requires only very low technology. Surveying with a chain is simple if the land is level and continuous—it is not physically practicable to range across large depressions or significant waterways, for example. On sloping land, the chain was to be "leveled" by raising one end as needed, so that undulations did not increase the apparent length of the side or the area of the tract.

Unit of length

Although link chains were later superseded by the steel ribbon tape (a form of tape measure), its legacy was a new statutory unit of length called the chain, equal to 22 yards (66 feet) of 100 links. This unit still exists as a location identifier on British railways, as well as all across America in what is called the public land survey system. In the United States (US), for example, Public Lands Survey plats are published in the chain unit to maintain the consistency of a two-hundred-year-old database. In the Midwest of the US it is not uncommon to encounter deeds with references to chains, poles, or rod units, especially in farming country. Minor roads surveyed in Australia and New Zealand in the 19th and early 20th centuries are customarily one chain wide. The length of a cricket pitch is one chain (22 yards).

Similar measuring chains

Metric chains In France after the French Revolution, and later in countries that had adopted the Metric System, 10-metre (32 ft 9.7 in) chains, of 50 links each 200 millimetres (7.87 in) long were used until the 1950s. Metric chains, of lengths 5 m, 10 m, 20 m and 30 m, are widely used in India. Tolerances are ±3 mm for 5 m and 10 m chains, ±5 mm for a 20 m chain, and ±8 mm for a 30 m chain. Links are 200 millimetres (7.87 in) long.

Revenue chain In India, a revenue chain with 16 links and of length 10 ft (3.0 m) is used in cadastral surveys.

Ramsden's chain (Engineer's chain)

A longer chain of 100 feet (30.5 m), with a hundred 1 foot (305 mm) links, was devised in the UK in the late 18th century by Jesse Ramsden, though it never supplanted Gunter's chain. Surveyors also sometimes used such a device, and called it the engineer's chain. The original of such chains was that constructed, to very high precision, for the measurement of the baselines of the Anglo-French Survey (1784–1790) and the Principal Triangulation of Great Britain. A similar American system, of lesser popularity, is Ramsden's or the engineer's system, where the chain consists also of 100 links, each one foot (0.3048 m) long. The even less common Rathborn system, also from the 17th century, is based on a 200-link chain of two rods (33 feet, 10.0584 m) length. Each rod (or perch or pole) consists of 100 links, (1.98 inches, 50.292 mm each), which are called seconds (″), ten of which make a prime (′, 19.8 inches, 0.503 m).

Vara or Texas chain In the Southwestern United States, the vara chain also called the Texas chain, of 20 varas (16.9164 m (55.5 ft)) was used in surveying Spanish and later Mexican land grants, such as the major Fisher–Miller and Paisano Grants in Texas, several similarly large ones in New Mexico, and over 200 smaller ranchos in California.

… excerpt ends here. Continue reading the full article.

Illustrations

Gunter's chain illustration
Gunter's chain: Standard chain mark in Whanganui, New Zealand, laid down in 1880 to standardize surveys
Standard chain mark in Whanganui, New Zealand, laid down in 1880 to standardize surveys

Worked examples

Example 1 — a first encounter with Gunter's chain

Start with the simplest possible case. Write down what Gunter's chain claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, 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 Gunter's chain 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 Gunter's chain 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 Gunter's chain

In research
Gunter's chain appears in science 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 Gunter's chain 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
Gunter's chain is common in secondary-school and first-year university syllabi. It links to neighbouring topics Customary units of measurement in the United States, Imperial units, Length, distance, or range measuring devices, so understanding it makes those chapters shorter.
In everyday life
Look for Gunter's chain 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.

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How to study Gunter's chain in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Gunter's chain 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 Gunter's chain out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Gunter's chain in simple terms?

Gunter's chain (also known as Gunter's measurement) is a distance-measuring device used for surveying. It was designed and introduced in 1620 by English clergyman and mathematician Edmund Gunter (1581–1626).

Why does Gunter's chain matter?

Because it connects several science 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 Gunter's chain?

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 Gunter's chain.

Tags

  • Customary units of measurement in the United States
  • Imperial units
  • Length, distance, or range measuring devices
  • Surveying instruments
  • Units of length

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