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Ruler

technology Maturity 11-13 Next article →

A ruler is a specialized instrument used to measure length.

Diverse·Maßstäbe,15.365
Diverse·Maßstäbe,15.365

It works by providing a series of markings along an edge. These markings are often referred to as "rules." Because of this, the device itself is sometimes called a rule, a scale, or a line gauge. Many rulers are rigid and possess a straight edge. This makes them a "ruled straightedge." This specific design allows a person to draw very straight lines.

Steel ruler closeup
Steel ruler closeup

Rulers are essential tools in many fields, including mathematics, geography, and geometry.

The mechanism of a ruler is quite simple but very effective. To use it, a person aligns the starting point of an object with the zero mark on the ruler. They then look at where the other end of the object reaches along the series of markings. This allows the user to read a specific length. In some cases, a ruler might be used as a scale.

Briefwaage Lineal
Briefwaage Lineal

For example, a ruler can be used in combination with a letter scale. Some workshop rulers even feature a raised metal edge. This edge helps prevent ink from feathering under the tool when drawing with a pen. It also helps preserve the edge during cutting tasks.

Rulers come in many different types and sizes to suit different needs. Short rulers are often designed to be convenient for carrying in a pocket. On the other hand, longer versions like yardsticks or meter sticks are used for larger tasks.

Measuring-tape
Measuring-tape

For very large projects, people may use a tape measure, a surveyor's wheel, or a laser rangefinder. There are also specialized tools for drawing curves. A French curve is a rigid template used to reproduce smooth curves. A flexible curve, or flat spline, can be bent into a desired shape. Historically, masons used a flexible lead rule called a lesbian rule to bend to the curves of a molding.

In the field of geometry, rulers serve several specific functions. A straightedge can be used to draw straight lines between two points. Rulers are also used to create accurate graphs and tables. When used alongside a compass, a ruler can perform complex constructions. For instance, a person can bisect an angle into two equal parts using a ruler and a compass. However, it is mathematically impossible to divide an angle into three equal parts using only these two tools. This specific challenge is known as the problem of angle trisection. Interestingly, if a person is allowed to make two marks on the ruler, the problem can be solved through a neusis construction.

The history of measurement shows how much our tools have evolved.

Nippur-Elle (Top)
Nippur-Elle (Top)

Long ago, people used parts of the human body to measure distance. They used units like the cubit, the hand, and the foot. These units were not consistent because they changed based on location and era. In the late 18th century, the metric system was introduced. This system has since been adopted by almost all countries around the world. Significant inventions also changed how we carry rulers. Anton Ullrich invented the folding ruler in 1851. Later, in 1902, Frank Hunt created the flexible ruler.

Archaeology has revealed some very ancient measuring tools. The oldest preserved measuring rod is a copper-alloy bar from 2650 BC.

Nippur-Elle (Top)
Nippur-Elle (Top)

This rod was found by Eckhard Unger in the Sumerian city of Nippur. The Indus Valley civilization also used rulers made of ivory before 1500 BC. One ruler found at Lothal in 2400 BC was calibrated to about 1.7 millimeters.

MaryRose-carpentry tools1
MaryRose-carpentry tools1

Some researchers believe the Mohenjo-Daro ruler was divided into units with incredible accuracy. These units were marked in decimal subdivisions to within 0.15 millimeters. This accuracy was even reflected in the dimensions of ancient bricks found in the region.

Finally, rulers hold a unique place in philosophy and language. The philosopher Ludwig Wittgenstein used rulers to discuss "language games."

Diverse·Maßstäbe,15.365
Diverse·Maßstäbe,15.365

He looked at the standard meter bar kept in Paris. This bar was the criterion used to decide if other rulers were one meter long. However, Wittgenstein noted there was no analytical way to prove the standard bar itself was exactly one meter. It could only be asserted as one meter within the context of a language game. This shows how even our most basic tools of measurement rely on shared agreements.

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🖼️ Images & Media (7)
File:Diverse·Maßstäbe,15.365.jpg
Diverse·Maßstäbe,15.365.jpg
File:CarpentersRule.png
CarpentersRule.png
File:Measuring-tape.jpg
Measuring-tape.jpg
File:Steel ruler closeup.jpg
Steel ruler closeup.jpg
File:Briefwaage Lineal.jpg
Briefwaage Lineal.jpg
File:Nippur-Elle (Top).jpg
Nippur-Elle (Top).jpg
File:MaryRose-carpentry tools1.jpg
MaryRose-carpentry tools1.jpg
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