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Craig Retroazimuthal Projection
The Craig retroazimuthal map projection was created by James Ireland Craig in 1909. It is a modified cylindrical projection. As a retroazimuthal projection, it preserves directions from everywhere to one location of interest that is configured during construction of the projection. The projection is sometimes known as the Mecca projection because Craig, who had worked in Egypt as a cartographer, created it to help Muslims find their qibla. In such maps, Mecca is the configurable location of interest. Given latitude ''φ'' to plot, latitude ''φ'' of the fixed location of interest, longitude ''λ'' to plot, and the longitude ''λ'' of the fixed location of interest, the projection is defined by: :\begin x &= \lambda - \lambda_0\\ y &= \frac\Big(\sin \varphi \cos \left(\lambda - \lambda_0\right) - \tan \varphi_0 \cos \varphi\Big)\end But when ''λ'' − ''λ'' = 0, ''y'' above is undefined, so instead use the ratio's continuous completion: :y = \sin \varphi \cos \lef ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Craig Projection SW
__NOTOC__ Craig may refer to: Geology *Craig (landform), a rocky hill or mountain often having large casims or sharp intentations. People (and fictional characters) *Craig (surname) * Craig (given name) Places Scotland *Craig, Angus, aka Barony of Craigie United States *Craig, Alaska, a city *Craig, Colorado, a city *Craig, Indiana, an unincorporated place * Craig, Iowa, a city *Craig, Missouri, a city * Craig, Montana, an unincorporated place *Craig, Nebraska, a village *Craig, Ohio, an unincorporated community *Craig County, Virginia *Craig County, Oklahoma *Craig Township (other) (two places) Other uses *Craig (song) *Craig Electronics, a consumer electronics company * Craig Broadcast Systems, later Craig Media and finally Craig Wireless, a defunct Canadian media and communication company *Clan Craig, a Scottish clan *Craig tube, a piece of scientific apparatus See also *''Craig v. Boren'', a U.S. Supreme Court case * Justice Craig (other) *Craic ''C ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Map Projection
In cartography, map projection is the term used to describe a broad set of transformations employed to represent the two-dimensional curved surface of a globe on a plane. In a map projection, coordinates, often expressed as latitude and longitude, of locations from the surface of the globe are transformed to coordinates on a plane. Projection is a necessary step in creating a two-dimensional map and is one of the essential elements of cartography. All projections of a sphere on a plane necessarily distort the surface in some way and to some extent. Depending on the purpose of the map, some distortions are acceptable and others are not; therefore, different map projections exist in order to preserve some properties of the sphere-like body at the expense of other properties. The study of map projections is primarily about the characterization of their distortions. There is no limit to the number of possible map projections. More generally, projections are considered in several fi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
James Ireland Craig
James Ireland Craig (1868–1952) was a Scottish mathematician, meteorologist and creator of the Craig retroazimuthal projection. Life He was born on 24 February 1868 in Buckhaven the son of Captain T M Craig, a pioneer in the development of Borneo, and his wife Agnes. He was educated at Daniel Stewart's College in Edinburgh, where he was school dux for 1885. He then attended Edinburgh University and then Emmanuel College, Cambridge, graduating MA in 1892. In 1893 he became a Master, teaching mathematics at Eton College then at Winchester College from 1895. In 1896 he moved to Egypt to work for the Egyptian government. In 1908 he was elected a Fellow of the Royal Society of Edinburgh for his contributions to cartography. His proposers were George Chrystal, William J MacDonald, John Alison and John Brown Clark. He created, in 1909, the Craig retroazimuthal projection that preserves true directions on a map to a specified location, such as Mecca, which it why it is ofte ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Map Projection
In cartography, map projection is the term used to describe a broad set of transformations employed to represent the two-dimensional curved surface of a globe on a plane. In a map projection, coordinates, often expressed as latitude and longitude, of locations from the surface of the globe are transformed to coordinates on a plane. Projection is a necessary step in creating a two-dimensional map and is one of the essential elements of cartography. All projections of a sphere on a plane necessarily distort the surface in some way and to some extent. Depending on the purpose of the map, some distortions are acceptable and others are not; therefore, different map projections exist in order to preserve some properties of the sphere-like body at the expense of other properties. The study of map projections is primarily about the characterization of their distortions. There is no limit to the number of possible map projections. More generally, projections are considered in several fi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mecca
Mecca (; officially Makkah al-Mukarramah, commonly shortened to Makkah ()) is a city and administrative center of the Mecca Province of Saudi Arabia, and the Holiest sites in Islam, holiest city in Islam. It is inland from Jeddah on the Red Sea, in a narrow valley above sea level. Its last recorded population was 1,578,722 in 2015. Its estimated metro population in 2020 is 2.042million, making it the List of cities in Saudi Arabia by population, third-most populated city in Saudi Arabia after Riyadh and Jeddah. Pilgrims more than triple this number every year during the Pilgrimage#Islam, pilgrimage, observed in the twelfth Islamic calendar, Hijri month of . Mecca is generally considered "the fountainhead and cradle of Islam". Mecca is revered in Islam as the birthplace of the Prophets and messengers in Islam, Islamic prophet Muhammad. The Hira cave atop the ("Mountain of Light"), just outside the city, is where Muslims believe the Quran was first revealed to Muhammad. Vis ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Egypt
Egypt ( ar, مصر , ), officially the Arab Republic of Egypt, is a transcontinental country spanning the northeast corner of Africa and southwest corner of Asia via a land bridge formed by the Sinai Peninsula. It is bordered by the Mediterranean Sea to the north, the Gaza Strip of Palestine and Israel to the northeast, the Red Sea to the east, Sudan to the south, and Libya to the west. The Gulf of Aqaba in the northeast separates Egypt from Jordan and Saudi Arabia. Cairo is the capital and largest city of Egypt, while Alexandria, the second-largest city, is an important industrial and tourist hub at the Mediterranean coast. At approximately 100 million inhabitants, Egypt is the 14th-most populated country in the world. Egypt has one of the longest histories of any country, tracing its heritage along the Nile Delta back to the 6th–4th millennia BCE. Considered a cradle of civilisation, Ancient Egypt saw some of the earliest developments of writing, agriculture, ur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cartographer
Cartography (; from grc, χάρτης , "papyrus, sheet of paper, map"; and , "write") is the study and practice of making and using maps. Combining science, aesthetics and technique, cartography builds on the premise that reality (or an imagined reality) can be modeled in ways that communicate spatial information effectively. The fundamental objectives of traditional cartography are to: * Set the map's agenda and select traits of the object to be mapped. This is the concern of map editing. Traits may be physical, such as roads or land masses, or may be abstract, such as Toponomy, toponyms or political boundaries. * Represent the terrain of the mapped object on flat media. This is the concern of map projections. * Eliminate characteristics of the mapped object that are not relevant to the map's purpose. This is the concern of Cartographic generalization, generalization. * Reduce the complexity of the characteristics that will be mapped. This is also the concern of generaliza ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Muslims
Muslims ( ar, المسلمون, , ) are people who adhere to Islam, a monotheistic religion belonging to the Abrahamic tradition. They consider the Quran, the foundational religious text of Islam, to be the verbatim word of the God of Abraham (or '' Allah'') as it was revealed to Muhammad, the main Islamic prophet. The majority of Muslims also follow the teachings and practices of Muhammad ('' sunnah'') as recorded in traditional accounts (''hadith''). With an estimated population of almost 1.9 billion followers as of 2020 year estimation, Muslims comprise more than 24.9% of the world's total population. In descending order, the percentage of people who identify as Muslims on each continental landmass stands at: 45% of Africa, 25% of Asia and Oceania (collectively), 6% of Europe, and 1% of the Americas. Additionally, in subdivided geographical regions, the figure stands at: 91% of the Middle East–North Africa, 90% of Central Asia, 65% of the Caucasus, 42% of Southeast Asi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Qibla
The qibla ( ar, قِبْلَة, links=no, lit=direction, translit=qiblah) is the direction towards the Kaaba in the Sacred Mosque in Mecca, which is used by Muslims in various religious contexts, particularly the direction of prayer for the salah. In Islam, the Kaaba is believed to be a sacred site built by prophets Abraham and Ishmael, and that its use as the qibla was ordained by Allah in several verses of the Quran revealed to Muhammad in the second Hijri year. Prior to this revelation, Muhammad and his followers in Medina faced Jerusalem for prayers. Most mosques contain a '' mihrab'' (a wall niche) that indicates the direction of the qibla. The qibla is also the direction for entering the ''ihram'' (sacred state for the hajj pilgrimage); the direction to which animals are turned during ''dhabihah'' (Islamic slaughter); the recommended direction to make ''dua'' (supplications); the direction to avoid when relieving oneself or spitting; and the direction to which the deceas ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Continuous Function
In mathematics, a continuous function is a function such that a continuous variation (that is a change without jump) of the argument induces a continuous variation of the value of the function. This means that there are no abrupt changes in value, known as '' discontinuities''. More precisely, a function is continuous if arbitrarily small changes in its value can be assured by restricting to sufficiently small changes of its argument. A discontinuous function is a function that is . Up until the 19th century, mathematicians largely relied on intuitive notions of continuity, and considered only continuous functions. The epsilon–delta definition of a limit was introduced to formalize the definition of continuity. Continuity is one of the core concepts of calculus and mathematical analysis, where arguments and values of functions are real and complex numbers. The concept has been generalized to functions between metric spaces and between topological spaces. The latter are the mo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Map Projections
This is a summary of map projections that have articles of their own on Wikipedia or that are otherwise notable Notability is the property of being worthy of notice, having fame, or being considered to be of a high degree of interest, significance, or distinction. It also refers to the capacity to be such. Persons who are notable due to public responsibi .... Because there is no limit to the number of possible map projections, there can be no comprehensive list. Table of projections *The first known popularizer/user and not necessarily the creator. Key Type of projection ; Cylindrical: In standard presentation, these map regularly-spaced meridians to equally spaced vertical lines, and parallels to horizontal lines. ; Pseudocylindrical: In standard presentation, these map the central meridian and parallels as straight lines. Other meridians are curves (or possibly straight from pole to equator), regularly spaced along parallels. ; Conic: In standard presentation, conic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hammer Retroazimuthal Projection
The Hammer retroazimuthal projection is a modified azimuthal proposed by Ernst Hermann Heinrich Hammer in 1910. As a retroazimuthal projection, azimuths (directions) are correct from any point to the designated center point. Additionally, all distances from the center of the map are proportional to what they are on the globe. In whole-world presentation, the back and front hemispheres overlap, making the projection a non-injective function. The back hemisphere can be rotated 180° to avoid overlap, but in this case, any azimuths measured from the back hemisphere must be corrected. Given a radius ''R'' for the projecting globe, the projection is defined as: :\beginx &= R K \cos \varphi_1 \sin (\lambda-\lambda_0)\\ y &= -R K \big(\sin \varphi_1 \cos \varphi - \cos \varphi_1 \sin \varphi \cos (\lambda-\lambda_0)\big)\end where :K = \frac and :\cos z = \sin \varphi_1 \sin \varphi + \cos \varphi_1 \cos \varphi \cos (\lambda - \lambda_0) The latitude and longitude of the point ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
