Ruler

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A variety of rulers Diverse*Massstabe,15.365.jpg
A variety of rulers
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2 m (6 ft 6+3/4 in) carpenter's rule CarpentersRule.png
A 2  m (6  ft 6+34  in ) carpenter's rule
Retractable flexible rule or tape measure Measuring-tape.jpg
Retractable flexible rule or tape measure
A closeup of a steel ruler Steel ruler closeup.jpg
A closeup of a steel ruler
A ruler in combination with a letter scale Briefwaage Lineal.jpg
A ruler in combination with a letter scale

A ruler, sometimes called a rule, scale or a line gauge, is an instrument used to make length measurements, whereby a user estimates a length by reading from a series of markings called "rules" along an edge of the device. [1] Commonly the instrument is rigid and the edge itself is a straightedge ("ruled straightedge"), which additionally allows one to draw straight lines. Some rulers, such as cloth or paper tape measures, are non-rigid. Specialty rulers exist that have flexible edges that retain a chosen shape; these find use in sewing, arts, and crafts.

Contents

Rulers have been used since ancient times. They are commonly made from metal, wood, fabric, paper, and plastic. They are important tools in the design and construction of buildings. Their ability to quickly and easily measure lengths makes them important in the textile industry and in the retail trade, where lengths of string, fabric, and paper goods can be cut to size. Children learn the basic use of rulers at the elementary school level, and they are often part of a student's school supplies. At the high school level rulers are often used as straightedges for geometric constructions in Euclidean geometry. Rulers are ubiquitous in the engineering and construction industries, often in the form of a tape measure, and are used for making and reading technical drawings. Since much technical work is now done on computer, many software programs implement virtual rulers to help the user estimate virtual distances.

Variants

Gilded bronze ruler. 1 chi = 231 mm (9.1 in). Western Han (206 BC - 8 AD). Hanzhong City, China Gilded Bronze Ruler - 1 chi = 231 cm. Western Han (206 BCE - CE 8). Hanzhong City.jpg
Gilded bronze ruler. 1  chi = 231 mm (9.1 in). Western Han (206 BC – 8 AD). Hanzhong City, China
Bronze ruler. Han dynasty, 206 BC - 220 AD. Excavated in Zichang County, China Han Bronze Ruler (9948006553).jpg
Bronze ruler. Han dynasty, 206 BC – 220 AD. Excavated in Zichang County, China

Rulers have long been made from different materials and in multiple sizes. Historically they were mainly wooden; but plastics have also been used since they were invented; they can be molded with length markings instead of being scribed. Metal is used for more durable rulers for use in the workshop; sometimes a metal edge is embedded into a wooden desk ruler to preserve the edge when used for straight-line cutting. 12  in or 30  cm in length is useful for a ruler to be kept on a desk to help in drawing. Shorter rulers are convenient for keeping in a pocket. [2] Longer rulers, e.g., 46 cm (18 in), are necessary in some cases. Rigid wooden or plastic yardsticks, 1 yard long, and meter sticks, 1  meter long, are also used. Classically, long measuring rods were used for larger projects, now superseded by tape measure, surveyor's wheel or laser rangefinders.

Desk rulers are used for three main purposes: to measure, to aid in drawing straight lines, and as a straight guide for cutting and scoring with a blade. Practical rulers have distance markings along their edges.

A line gauge is a type of ruler used in the printing industry. These may be made from a variety of materials, typically metal or clear plastic. Units of measurement on a basic line gauge usually include inches, agate, picas, and points. More detailed line gauges may contain sample widths of lines, samples of common type in several point sizes, etc.

Measuring instruments similar in function to rulers are made portable by folding (carpenter's folding rule) or retracting into a coil (metal tape measure) when not in use. When extended for use, they are straight, like a ruler. The illustrations on this page show a 2 m (6 ft 7 in) carpenter's rule, which folds down to a length of 25 cm (10 in) to easily fit in a pocket, and a 5 m (16 ft) tape, which retracts into a small housing.

A flexible length-measuring instrument which is not necessarily straight in use is the tailor's fabric tape measure, a length of tape calibrated in inches and centimeters. It is used to measure around a solid body, e.g. for a person's waist measurement, as well as for linear measurement, e.g., for the inside leg length. It is rolled up when not in use, taking up little space.

An Online ruler software program can be used to measure pixels on a computer screen or mobile phone. These programs are also known as screen rulers or online ruler. [3] It is used to measure the actual size of an object in inches, centimeters, or millimeters.

Use in geometry

In geometry, a ruler without any marks on it (a straightedge) may be used only for drawing straight lines between points. A straightedge is also used to help draw accurate graphs and tables.

A ruler and compass construction refers to constructions using an unmarked ruler and a compass. It is possible to bisect an angle into two equal parts with a ruler and compass. It can be proved, though, that it is impossible to divide an angle into three equal parts using only a compass and straightedge — the problem of angle trisection. However, should two marks be allowed on the ruler, the problem becomes solvable.

History

The Nippur cubit-rod, c. 2650 BC, in the Archeological Museum of Istanbul, Turkey Nippur-Elle (Top).jpg
The Nippur cubit-rod, c.2650 BC, in the Archeological Museum of Istanbul, Turkey
A wooden carpenter's rule and other tools found on board the 16th-century carrack Mary Rose MaryRose-carpentry tools1.jpg
A wooden carpenter's rule and other tools found on board the 16th-century carrack Mary Rose

In the history of measurement many distance units have been used which were based on human body parts such as the cubit, hand and foot and these units varied in length by era and location. [4] In the late 18th century the metric system came into use and has been adopted to varying degrees in almost all countries in the world.

The oldest preserved measuring rod is a copper-alloy bar that dates from c. 2650 BC and was found by the German Assyriologist Eckhard Unger while excavating at the Sumerian city of Nippur (present day Iraq).

Rulers made of ivory were in use by the Indus Valley civilization period prior to 1500 BC. [5] Excavations at Lothal (2400 BC) have yielded one such ruler calibrated to about 1.6 millimetres (116 in). [5] Ian Whitelaw holds that the Mohenjo-Daro ruler is divided into units corresponding to 33.5 millimetres (1.32 in) and these are marked out in decimal subdivisions with amazing accuracy, to within 0.13 millimetres (0.005 in). Ancient bricks found throughout the region have dimensions that correspond to these units. [6]

Anton Ullrich invented the folding ruler in 1851. Frank Hunt later made the flexible ruler in 1902. [7]

Curved and flexible rulers

The equivalent of a ruler for drawing or reproducing a smooth curve, where it takes the form of a rigid template, is known as a French curve. A flexible device that can be bent to the desired shape is known as a flat spline, or (in its more modern incarnation) a flexible curve. Historically, a flexible lead rule used by masons that could be bent to the curves of a molding was known as a lesbian rule. [8]

Philosophy

Ludwig Wittgenstein famously used rulers as an example in his discussion of language games in the Philosophical Investigations (1953). He pointed out that the standard meter bar in Paris was the criterion against which all other rulers were determined to be one meter long, but that there was no analytical way to demonstrate that the standard meter bar itself was one meter long. It could only be asserted as one meter as part of a language game.

See also

Related Research Articles

<span class="mw-page-title-main">Measurement</span> Process of assigning numbers to objects or events

Measurement is the quantification of attributes of an object or event, which can be used to compare with other objects or events. In other words, measurement is a process of determining how large or small a physical quantity is as compared to a basic reference quantity of the same kind. The scope and application of measurement are dependent on the context and discipline. In natural sciences and engineering, measurements do not apply to nominal properties of objects or events, which is consistent with the guidelines of the International vocabulary of metrology published by the International Bureau of Weights and Measures. However, in other fields such as statistics as well as the social and behavioural sciences, measurements can have multiple levels, which would include nominal, ordinal, interval and ratio scales.

<span class="mw-page-title-main">Micrometer (device)</span> Tool for the precise measurement of a components length, width, and/or depth

A micrometer, sometimes known as a micrometer screw gauge, is a device incorporating a calibrated screw widely used for accurate measurement of components in mechanical engineering and machining as well as most mechanical trades, along with other metrological instruments such as dial, vernier, and digital calipers. Micrometers are usually, but not always, in the form of calipers. The spindle is a very accurately machined screw and the object to be measured is placed between the spindle and the anvil. The spindle is moved by turning the ratchet knob or thimble until the object to be measured is lightly touched by both the spindle and the anvil.

<span class="mw-page-title-main">Straightedge and compass construction</span> Method of drawing geometric objects

In geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the construction of lengths, angles, and other geometric figures using only an idealized ruler and a pair of compasses.

<span class="mw-page-title-main">Angle trisection</span> Construction of an angle equal to one third a given angle

Angle trisection is a classical problem of straightedge and compass construction of ancient Greek mathematics. It concerns construction of an angle equal to one third of a given arbitrary angle, using only two tools: an unmarked straightedge and a compass.

A straightedge or straight edge is a tool used for drawing straight lines, or checking their straightness. If it has equally spaced markings along its length, it is usually called a ruler.

<span class="mw-page-title-main">French curve</span> Template made from metal, wood or plastic composed of segments of smooth curves

A French curve is a template usually made from metal, wood or plastic composed of many different segments of the Euler spiral. It is used in manual drafting and in fashion design to draw smooth curves of varying radii. The curve is placed on the drawing material, and a pencil, knife or other implement is traced around its curves to produce the desired result. They were invented by the German mathematician Ludwig Burmester and are also known as Burmester (curve) set.

<span class="mw-page-title-main">Compass (drawing tool)</span> Drafting instrument

A compass, more accurately known as a pair of compasses, is a technical drawing instrument that can be used for inscribing circles or arcs. As dividers, it can also be used as a tool to mark out distances, in particular, on maps. Compasses can be used for mathematics, drafting, navigation and other purposes.

<span class="mw-page-title-main">Tape measure</span> Flexible ruler used to measure size or distance

A tape measure or measuring tape is a flexible ruler used to measure length or distance.

<span class="mw-page-title-main">Combination square</span> Measuring and marking tool

A combination square is a multi-purpose measuring and marking tool used in metalworking, woodworking, and stonemasonry. It is composed of a rule and one or more interchangeable heads that can be attached to the rule. Other names for the tool include adjustable square, combo square, and sliding square.

<span class="mw-page-title-main">Meterstick</span> Straightedge or folding ruler used to physically measure lengths

A meterstick, metrestick, or yardstick is either a straightedge or foldable ruler used to measure length, and is especially common in the construction industry. They are often made of wood or plastic, and often have metal or plastic joints so that they can be folded together. Normal length of a meterstick made for the international market is either one or two meters, while a yardstick made for the U.S. market is typically one yard long.

<span class="mw-page-title-main">Feeler gauge</span> Tool used to measure gap widths

A feeler gauge is a tool used to measure gap widths. Feeler gauges are mostly used in engineering to measure the clearance between two parts.

<span class="mw-page-title-main">Sheet metal</span> Metal formed into thin, flat pieces

Sheet metal is metal formed into thin, flat pieces, usually by an industrial process.

<span class="mw-page-title-main">Calipers</span> Tool used to measure dimensions of an object

Caliper(s) or calliper(s) are an instrument used to measure the dimensions of an object; namely, the diameter or depth of a hole. The word “Caliper” comes from latin roots meaning precise pincer.

<span class="mw-page-title-main">Coastline paradox</span> Counterintuitive observation that the coastline of a landmass does not have a well-defined length

The coastline paradox is the counterintuitive observation that the coastline of a landmass does not have a well-defined length. This results from the fractal curve–like properties of coastlines; i.e., the fact that a coastline typically has a fractal dimension. Although the "paradox of length" was previously noted by Hugo Steinhaus, the first systematic study of this phenomenon was by Lewis Fry Richardson, and it was expanded upon by Benoit Mandelbrot.

A scale ruler is a tool for measuring lengths and transferring measurements at a fixed ratio of length; two common examples are an architect's scale and engineer's scale. In scientific and engineering terminology, a device to measure linear distance and create proportional linear measurements is called a scale. A device for drawing straight lines is a straight edge or ruler. In common usage, both are referred to as a ruler.

<span class="mw-page-title-main">T gauge</span>

T gauge is a model railway scale with a track gauge of 3 mm, referred to as "Three-millimeter gauge" or "Third of N scale". It was introduced at the Tokyo Toy Show in 2006 by KK Eishindo of Japan and went on sale in 2007. It is the smallest commercial model train scale in the world. Since mid-2009, Railway Shop is the exclusive licensed manufacturer.

A graduation is a marking used to indicate points on a visual scale, which can be present on a container, a measuring device, or the axes of a line plot, usually one of many along a line or curve, each in the form of short line segments perpendicular to the line or curve. Often, some of these line segments are longer and marked with a numeral, such as every fifth or tenth graduation. The scale itself can be linear or nonlinear.

<span class="mw-page-title-main">Technical drawing tool</span> Tools and instruments used for accurate and precise manual drafting

Drafting tools may be used for measurement and layout of drawings, or to improve the consistency and speed of creation of standard drawing elements. Tools such as pens and pencils mark the drawing medium. Other tools such as straight edges, assist the operator in drawing straight lines, or assist the operator in drawing complicated shapes repeatedly. Various scales and the protractor are used to measure the lengths of lines and angles, allowing accurate scale drawing to be carried out. The compass is used to draw arcs and circles. A drawing board was used to hold the drawing media in place; later boards included drafting machines that sped the layout of straight lines and angles. Tools such as templates and lettering guides assisted in the drawing of repetitive elements such as circles, ellipses, schematic symbols and text. Other auxiliary tools were used for special drawing purposes or for functions related to the preparation and revision of drawings. The tools used for manual technical drawing have been displaced by the advent of computer-aided drawing, drafting and design (CADD).

<span class="mw-page-title-main">Mathematical instrument</span> Tool used in the study or practice of mathematics

A mathematical instrument is a tool or device used in the study or practice of mathematics. In geometry, construction of various proofs was done using only a compass and straightedge; arguments in these proofs relied only on idealized properties of these instruments and literal construction was regarded as only an approximation. In applied mathematics, mathematical instruments were used for measuring angles and distances, in astronomy, navigation, surveying and in the measurement of time.

The rolling straight-edge is an instrument used to measure the surface regularity of roads and similar structures such as airport runways. It consists of a straightedge of a fixed distance mounted on wheels with a sensor at the centrepoint measuring deviation in height. It is rolled along the road surface and set to specific trigger levels which can be logged automatically or by means of an audible alarm. The rolling straight-edge was developed by the British Road Research Laboratory to replace earlier manual methods of measurement using rulers. It has been used by several countries and remains in use in the United Kingdom, Germany and Taiwan.

References

  1. "ruler noun - Definition, pictures, pronunciation and usage notes - Oxford Advanced Learner's Dictionary at OxfordLearnersDictionaries.com". www.oxfordlearnersdictionaries.com. Archived from the original on 25 October 2017. Retrieved 25 April 2018.
  2. "Steel Rule Has Pocket Clip For Use As A Depth Gauge", Popular Science, December 1935, p. 887 bottom right.
  3. "Online Ruler".
  4. Klein, Herbert A. The science of measurement: a historical survey. Reprint, unabridged, corr. republ. der Ausg. New York, Simon & Schuster, 1974. ed. New York, NY: Dover, 1988. Print.
  5. 1 2 Whitelaw, p. 14.
  6. Whitelaw, p. 15.
  7. "Flexible Ruler Invented by Frank G. Hunt". National Museum of National History. Archived from the original on 30 June 2016. Retrieved 7 June 2016.
  8. "lesbian rule" . Oxford English Dictionary (Online ed.). Oxford University Press.(Subscription or participating institution membership required.)(subscription required)

Bibliography