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54-563: Augeron can be characterised by means of its position within the isoglosses that traverse the Norman-speaking territory. Situated near the division between Lower and Upper Normandy, it can be described as transitional, displaying as it does features typical of western and eastern dialects. Augeron lies north of the Joret line and therefore shares unpalatalised /ka/ (example: cat = cat) and palatalised /kj/ (example: chinq = five) with

108-436: A choropleth map . In meteorology, the word isopleth is used for any type of contour line. Meteorological contour lines are based on interpolation of the point data received from weather stations and weather satellites . Weather stations are seldom exactly positioned at a contour line (when they are, this indicates a measurement precisely equal to the value of the contour). Instead, lines are drawn to best approximate

162-415: A function of two variables is a curve along which the function has a constant value, so that the curve joins points of equal value. It is a plane section of the three-dimensional graph of the function f ( x , y ) {\displaystyle f(x,y)} parallel to the ( x , y ) {\displaystyle (x,y)} -plane. More generally, a contour line for

216-441: A map describing the intersection of a real or hypothetical surface with one or more horizontal planes. The configuration of these contours allows map readers to infer the relative gradient of a parameter and estimate that parameter at specific places. Contour lines may be either traced on a visible three-dimensional model of the surface , as when a photogrammetrist viewing a stereo-model plots elevation contours, or interpolated from

270-691: A word without a repeated letter . As late as 1944, John K. Wright still preferred isogram , but it never attained wide usage. During the early 20th century, isopleth ( πλῆθος , plethos , 'amount') was being used by 1911 in the United States, while isarithm ( ἀριθμός , arithmos , 'number') had become common in Europe. Additional alternatives, including the Greek-English hybrid isoline and isometric line ( μέτρον , metron , 'measure'), also emerged. Despite attempts to select

324-411: A constant pressure surface chart. Isohypse and isoheight are simply known as lines showing equal pressure on a map. An isotherm (from Ancient Greek θέρμη (thermē)  'heat') is a line that connects points on a map that have the same temperature . Therefore, all points through which an isotherm passes have the same or equal temperatures at the time indicated. An isotherm at 0 °C

378-417: A contour map is the difference in elevation between successive contour lines. The gradient of the function is always perpendicular to the contour lines. When the lines are close together the magnitude of the gradient is large: the variation is steep. A level set is a generalization of a contour line for functions of any number of variables. Contour lines are curved, straight or a mixture of both lines on

432-407: A curve of constant electric potential . Whether crossing an equipotential line represents ascending or descending the potential is inferred from the labels on the charges. In three dimensions, equipotential surfaces may be depicted with a two dimensional cross-section, showing equipotential lines at the intersection of the surfaces and the cross-section. The general mathematical term level set

486-463: A function of two variables is a curve connecting points where the function has the same particular value. In cartography , a contour line (often just called a "contour") joins points of equal elevation (height) above a given level, such as mean sea level . A contour map is a map illustrated with contour lines, for example a topographic map , which thus shows valleys and hills, and the steepness or gentleness of slopes. The contour interval of

540-451: A gallicised Augeron in L'Éveil de Lisieux . Some of these columns were collected in a book Radotages de Maît'Jules in 1984. Isogloss An isogloss , also called a heterogloss , is the geographic boundary of a certain linguistic feature, such as the pronunciation of a vowel , the meaning of a word, or the use of some morphological or syntactic feature. Isoglosses are a subject of study in dialectology , in which they demarcate

594-431: A given location and is used in the generation of isochrone maps . An isotim shows equivalent transport costs from the source of a raw material, and an isodapane shows equivalent cost of travel time. Contour lines are also used to display non-geographic information in economics. Indifference curves (as shown at left) are used to show bundles of goods to which a person would assign equal utility. An isoquant (in

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648-828: A line of constant annual variation of magnetic declination . An isoclinic line connects points of equal magnetic dip , and an aclinic line is the isoclinic line of magnetic dip zero. An isodynamic line (from δύναμις or dynamis meaning 'power') connects points with the same intensity of magnetic force. Besides ocean depth, oceanographers use contour to describe diffuse variable phenomena much as meteorologists do with atmospheric phenomena. In particular, isobathytherms are lines showing depths of water with equal temperature, isohalines show lines of equal ocean salinity, and isopycnals are surfaces of equal water density. Various geological data are rendered as contour maps in structural geology , sedimentology , stratigraphy and economic geology . Contour maps are used to show

702-426: A picture of the major thermodynamic factors in a weather system. An isobar (from Ancient Greek βάρος (baros)  'weight') is a line of equal or constant pressure on a graph, plot, or map; an isopleth or contour line of pressure. More accurately, isobars are lines drawn on a map joining places of equal average atmospheric pressure reduced to sea level for a specified period of time. In meteorology ,

756-440: A point; this distinction has since been followed generally. An example of an isopleth is population density , which can be calculated by dividing the population of a census district by the surface area of that district. Each calculated value is presumed to be the value of the variable at the centre of the area, and isopleths can then be drawn by a process of interpolation . The idea of an isopleth map can be compared with that of

810-623: A representative of the dialect at its eastern boundaries, published a Dictionnaire du patois normand (called Le petit Roger ) and a collection of stories in French and Norman (Augeron): Nous autres Parisiens... Vôs z-ât' Paysans (1978). Newspapers and magazines have published literature in Augeron. Le Pays d'Auge published in 1958 a story in the Honfleur dialect: Maître Ursin rev'nant! . Christian Lambert (pen name: Maît'Jules) published over 600 columns in

864-489: A single standard, all of these alternatives have survived to the present. When maps with contour lines became common, the idea spread to other applications. Perhaps the latest to develop are air quality and noise pollution contour maps, which first appeared in the United States in approximately 1970, largely as a result of national legislation requiring spatial delineation of these parameters. Contour lines are often given specific names beginning with " iso- " according to

918-421: A specific time interval, and katallobars , lines joining points of equal pressure decrease. In general, weather systems move along an axis joining high and low isallobaric centers. Isallobaric gradients are important components of the wind as they increase or decrease the geostrophic wind . An isopycnal is a line of constant density. An isoheight or isohypse is a line of constant geopotential height on

972-587: A strongly aspirated (sometimes guttural) realisation of /h/ . Compared to the insular varieties, Cotentinais and Cauchois , there has not been a long and well-documented literary tradition in Augeron. Gaston Lerévérend (1885–1962), born in Saint-Paul-de-Courtonne, wrote in Augeron. Collections of his poetry include L'hus entrebâyei (1919), Mei-j'vo-l'dis , and L'hus bâyi (1955). Roger Dubos (1906–1994) although born in Pont-Audemer and therefore

1026-461: A variety of scales, from large-scale engineering drawings and architectural plans, through topographic maps and bathymetric charts , up to continental-scale maps. "Contour line" is the most common usage in cartography , but isobath for underwater depths on bathymetric maps and isohypse for elevations are also used. In cartography, the contour interval is the elevation difference between adjacent contour lines. The contour interval should be

1080-762: A vertical section. In 1801, the chief of the French Corps of Engineers, Haxo , used contour lines at the larger scale of 1:500 on a plan of his projects for Rocca d'Anfo , now in northern Italy, under Napoleon . By around 1843, when the Ordnance Survey started to regularly record contour lines in Great Britain and Ireland , they were already in general use in European countries. Isobaths were not routinely used on nautical charts until those of Russia from 1834, and those of Britain from 1838. As different uses of

1134-446: Is a contour line for a variable which measures direction. In meteorology and in geomagnetics, the term isogon has specific meanings which are described below. An isocline ( κλίνειν , klinein , 'to lean or slope') is a line joining points with equal slope. In population dynamics and in geomagnetics, the terms isocline and isoclinic line have specific meanings which are described below. A curve of equidistant points

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1188-452: Is a line joining points with constant wind speed. In meteorology, the term isogon refers to a line of constant wind direction. An isopectic line denotes equal dates of ice formation each winter, and an isotac denotes equal dates of thawing. Contours are one of several common methods used to denote elevation or altitude and depth on maps . From these contours, a sense of the general terrain can be determined. They are used at

1242-438: Is a line of equal or constant dew point . An isoneph is a line indicating equal cloud cover. An isochalaz is a line of constant frequency of hail storms, and an isobront is a line drawn through geographical points at which a given phase of thunderstorm activity occurred simultaneously. Snow cover is frequently shown as a contour-line map. An isotach (from Ancient Greek ταχύς (tachus)  'fast')

1296-518: Is a line of equal temperature beneath the Earth's surface. An isohyet or isohyetal line (from Ancient Greek ὑετός (huetos)  'rain') is a line on a map joining points of equal rainfall in a given period. A map with isohyets is called an isohyetal map . An isohume is a line of constant relative humidity , while an isodrosotherm (from Ancient Greek δρόσος (drosos)  'dew' and θέρμη (therme)  'heat')

1350-485: Is a set of points all at the same distance from a given point , line , or polyline . In this case the function whose value is being held constant along a contour line is a distance function . In 1944, John K. Wright proposed that the term isopleth be used for contour lines that depict a variable which cannot be measured at a point, but which instead must be calculated from data collected over an area, as opposed to isometric lines for variables that could be measured at

1404-602: Is called the freezing level . The term lignes isothermes (or lignes d'égale chaleur) was coined by the Prussian geographer and naturalist Alexander von Humboldt , who as part of his research into the geographical distribution of plants published the first map of isotherms in Paris, in 1817. According to Thomas Hankins, the Scottish engineer William Playfair 's graphical developments greatly influenced Alexander von Humbolt's invention of

1458-508: Is especially important in riparian zones. An isoflor is an isopleth contour connecting areas of comparable biological diversity. Usually, the variable is the number of species of a given genus or family that occurs in a region. Isoflor maps are thus used to show distribution patterns and trends such as centres of diversity. In economics , contour lines can be used to describe features which vary quantitatively over space. An isochrone shows lines of equivalent drive time or travel time to

1512-403: Is found on a map dated 1584 of the river Spaarne , near Haarlem , by Dutchman Pieter Bruinsz. In 1701, Edmond Halley used such lines (isogons) on a chart of magnetic variation. The Dutch engineer Nicholas Cruquius drew the bed of the river Merwede with lines of equal depth (isobaths) at intervals of 1 fathom in 1727, and Philippe Buache used them at 10-fathom intervals on a chart of

1566-454: Is indicated on maps with isoplats . Some of the most widespread applications of environmental science contour maps involve mapping of environmental noise (where lines of equal sound pressure level are denoted isobels ), air pollution , soil contamination , thermal pollution and groundwater contamination. By contour planting and contour ploughing , the rate of water runoff and thus soil erosion can be substantially reduced; this

1620-457: Is inspired by contour lines , or isopleths, such as isobars . However, the isogloss separates rather than connects points. Consequently, it has been proposed for the term heterogloss ( ἕτερος héteros "other") to be used instead. The centum–satem isogloss of the Indo-European language family relates to the different evolution of the dorsal consonants of Proto-Indo-European (PIE). In

1674-466: Is often used to describe the full collection of points having a particular potential, especially in higher dimensional space. In the study of the Earth's magnetic field , the term isogon or isogonic line refers to a line of constant magnetic declination , the variation of magnetic north from geographic north. An agonic line is drawn through points of zero magnetic declination. An isoporic line refers to

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1728-412: Is shown in all areas. Conversely, for an island which consists of a plateau surrounded by steep cliffs, it is possible to use smaller intervals as the height increases. An isopotential map is a measure of electrostatic potential in space, often depicted in two dimensions with the electrostatic charges inducing that electric potential . The term equipotential line or isopotential line refers to

1782-618: The Benrath line that distinguishes High German from the other West Germanic languages and the La Spezia–Rimini Line that divides the Northern Italian languages and Romance languages west of Italy from Central Italian dialects and Romance languages east of Italy. However, an individual isogloss may or may not have any coterminus with a language border . For example, the front-rounding of /y/ cuts across France and Germany, while

1836-606: The English Channel that was prepared in 1737 and published in 1752. Such lines were used to describe a land surface (contour lines) in a map of the Duchy of Modena and Reggio by Domenico Vandelli in 1746, and they were studied theoretically by Ducarla in 1771, and Charles Hutton used them in the Schiehallion experiment . In 1791, a map of France by J. L. Dupain-Triel used contour lines at 20-metre intervals, hachures, spot-heights and

1890-514: The barometric pressures shown are reduced to sea level , not the surface pressures at the map locations. The distribution of isobars is closely related to the magnitude and direction of the wind field, and can be used to predict future weather patterns. Isobars are commonly used in television weather reporting. Isallobars are lines joining points of equal pressure change during a specific time interval. These can be divided into anallobars , lines joining points of equal pressure increase during

1944-602: The bet of Old Hebrew has a distinctive stance (it leans to the right), but the bet of the Aramaic and Phoenician scripts series has a different stance (in both, it leans to the left). In 2006, Christopher Rollston suggested using the term isograph to designate a feature of the script that distinguishes it from a related script series, such as a feature that distinguishes the script of Old Hebrew from Old Aramaic and Phoenician. Isobar (meteorology) A contour line (also isoline , isopleth , isoquant or isarithm ) of

1998-542: The root letters for a word for "child" were w-l-d . However, in the ancient Northwest Semitic languages, the word was y-l-d , with w- > y- . Similarly, Proto-Semitic ā becomes ō in the Canaanite dialects of Northwest Semitic. Within the Aramaic languages and dialects of Northwest Semitic, the historic ā is preserved. Thus, an ancient Northwest Semitic language whose historic ā became ō can be classed as part of

2052-440: The /y/ is absent from Italian and Spanish words that are cognates with the /y/-containing French words. One of the best-known isoglosses is the centum-satem isogloss . Similar to an isogloss, an isograph is a distinguishing feature of a writing system. Both concepts are also used in historical linguistics . The term isogloss (Ancient Greek ἴσος ísos "equal, similar" and γλῶσσα glōssa "tongue, dialect, language")

2106-617: The Canaanite branch of Northwest Semitic. Such features can be used as data of fundamental importance for the purposes of linguistic classification. Just as there are distinguishing features of related languages, there are also distinguishing features of related scripts. For example, a distinguishing feature of the Iron Age Old Hebrew script is that the letters bet , dalet , ayin and resh do not have an open head, but contemporary Aramaic has open-headed forms. Similarly,

2160-651: The Indo-Iranian family, and the other satem families are spoken in adjacent geographic regions, they can be grouped by an isogloss: a geographic line separating satem branches on one side from centum branches on the other. A major isogloss in American English has been identified as the North – Midland isogloss, which demarcates numerous linguistic features, including the Northern Cities vowel shift : regions north of

2214-555: The Latin word for hundred . In other branches (for example, Balto-Slavic and Indo-Iranian ), the labiovelars merged with the velars: PIE * k eup- became Vedic Sanskrit k opáyati "shaken" and * kʷ o- became Avestan kō "who?"; but *ḱm̥tom became Avestan s atəm . They are known as satem branches, after the Avestan word for hundred . Since the Balto-Slavic family,

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2268-452: The below ground surface of geologic strata , fault surfaces (especially low angle thrust faults ) and unconformities . Isopach maps use isopachs (lines of equal thickness) to illustrate variations in thickness of geologic units. In discussing pollution, density maps can be very useful in indicating sources and areas of greatest contamination. Contour maps are especially useful for diffuse forms or scales of pollution. Acid precipitation

2322-422: The differences between regional dialects of a language; in areal linguistics , in which they represent the extent of borrowing of features between languages in contact with one another; and in the wave model of historical linguistics , in which they indicate the similarities and differences between members of a language family . Major dialects are typically demarcated by bundles of isoglosses, such as

2376-428: The estimated surface elevations , as when a computer program threads contours through a network of observation points of area centroids. In the latter case, the method of interpolation affects the reliability of individual isolines and their portrayal of slope , pits and peaks. The idea of lines that join points of equal value was rediscovered several times. The oldest known isobath (contour line of constant depth)

2430-452: The image at right) is a curve of equal production quantity for alternative combinations of input usages , and an isocost curve (also in the image at right) shows alternative usages having equal production costs. In political science an analogous method is used in understanding coalitions (for example the diagram in Laver and Shepsle's work ). In population dynamics , an isocline shows

2484-429: The isotherm. Humbolt later used his visualizations and analyses to contradict theories by Kant and other Enlightenment thinkers that non-Europeans were inferior due to their climate. An isocheim is a line of equal mean winter temperature, and an isothere is a line of equal mean summer temperature. An isohel ( ἥλιος , helios , 'Sun') is a line of equal or constant solar radiation . An isogeotherm

2538-505: The line (including Western New York ; Cleveland, Ohio ; lower Michigan ; northern Illinois ; and eastern Wisconsin ) have the shift, while regions south of the line (including Pennsylvania , central and southern Ohio , and most of Indiana ) do not. A feature of the ancient Northwest Semitic languages is w becoming y at the beginning of a word. Thus, in Proto-Semitic and subsequent non-Northwest Semitic languages and dialects,

2592-442: The locations of exact values, based on the scattered information points available. Meteorological contour maps may present collected data such as actual air pressure at a given time, or generalized data such as average pressure over a period of time, or forecast data such as predicted air pressure at some point in the future. Thermodynamic diagrams use multiple overlapping contour sets (including isobars and isotherms) to present

2646-427: The map key. Usually contour intervals are consistent throughout a map, but there are exceptions. Sometimes intermediate contours are present in flatter areas; these can be dashed or dotted lines at half the noted contour interval. When contours are used with hypsometric tints on a small-scale map that includes mountains and flatter low-lying areas, it is common to have smaller intervals at lower elevations so that detail

2700-482: The nature of the variable being mapped, although in many usages the phrase "contour line" is most commonly used. Specific names are most common in meteorology, where multiple maps with different variables may be viewed simultaneously. The prefix "' iso- " can be replaced with " isallo- " to specify a contour line connecting points where a variable changes at the same rate during a given time period. An isogon (from Ancient Greek γωνία (gonia)  'angle')

2754-535: The northern dialects from the insular varieties and Cotentinais in the west to Cauchois in the east. It lies west of the isogloss /ji/ - /je/ (example: muchi = conceal). It is at the easternmost boundary of the Norman dialects displaying this feature. By contrast, it lies east of the isogloss /l/ - /j/ (example: plache = place). It is near the westernmost boundary of the Norman dialects displaying this feature. Along with other northern dialects it displays

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2808-407: The same over a single map. When calculated as a ratio against the map scale, a sense of the hilliness of the terrain can be derived. There are several rules to note when interpreting terrain contour lines: Of course, to determine differences in elevation between two points, the contour interval, or distance in altitude between two adjacent contour lines, must be known, and this is normally stated in

2862-443: The standard reconstruction, three series of dorsals are recognised: In some branches (for example Greek , Italic and Germanic ), the palatals merged with the velars: PIE * k eup- "tremble (inwardly)" became Latin c upiō "desire" and * ḱ m̥tom "hundred" became Latin c entum (pronounced [kentum]); but * kʷ o- " interrogative pronoun " became qu ō "how? where?". They are known as centum branches, named after

2916-440: The technique were invented independently, cartographers began to recognize a common theme, and debated what to call these "lines of equal value" generally. The word isogram (from Ancient Greek ἴσος (isos)  'equal' and γράμμα (gramma)  'writing, drawing') was proposed by Francis Galton in 1889 for lines indicating equality of some physical condition or quantity, though isogram can also refer to

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