It was closely related to the nautical mile, which was originally determined as 1 minute of arc along a great circle of the Earth, but is nowadays defined as exactly 1852 metres.

On the sphere, the solution is significantly more complex, e. g., in the inverse problem the azimuths will differ between the two end points of the connecting great circle, arc, i. e. the geodesic.

Both the Imperial and U. S. definitions of the nautical mile were based on the Clarke ( 1866 ) Spheroid: they were different approximations to the length of one minute of arc along a great circle of a sphere having the same surface area as the Clarke Spheroid.

The great bend of the Niger River, seen from space, creates a green arc through the brown of the Sahel and Savanna.

Add another arc of a different great circle and you have a digon.

Enclosed within the great arc of the Carpathians lie the undulating plains and low hills of the Transylvanian Plateau -- the largest tableland in the country and the center of Romania.

If one measures by arc length one finds that the shortest path connecting two points lying entirely in the sphere is a segment of the great circle containing the points ; see geodesic.

The revivals followed an arc of great emotional power, with an emphasis of the individual's sins and need to turn to Christ, restored by a sense of personal salvation.

The Limpopo River flows in a great arc, first zigzagging north and then northeast, then turning east and finally southeast.

The minor arc of a great circle between two points is the shortest surface-path between them.

The length of the minor arc of a great circle is taken as the distance between two points on a surface of a sphere, namely the great-circle distance.

To prove that the minor arc of a great circle is the shortest path connecting two points on the surface of a sphere, one has to apply calculus of variations to it.

The weight was reduced to for the 1996 Olympic Games, after a study demonstrated that both the horse's arc over a fence became shallower and the leading leg took a great deal of extra force on landing when the horse was carrying dead weight than when free from the burden.

In spherical geometry, the shortest distance between two points is an arc of a great circle, but the triangle inequality holds provided the restriction is made that the distance between two points on a sphere is the length of a minor spherical line segment ( that is, one with central angle in π ) with those endpoints.

Aware the difficulties in laying transatlantic cable had not yet been solved, Lindsay took a great interest in the debate, with the revolutionary suggestion of using electric arc welding to join cables, and sacrificial anodes to prevent corrosion.

The shortest path from point A to point B on a sphere is given by the shorter arc of the great circle passing through A and B.

With updated " state of the arc " technology, Tri-Central Community Schools provides a wonderful learning environment, and a great experience for all students.

They had settled around the city in a great arc, with Lord Thomas Fairfax's army to the east and the Scots to the south and west.

When the telescope is pointed at a target object, the angle of each of these axes can be measured with great precision, typically to seconds of arc.

During the Alpine earth movements that occurred 50 – 100 million years ago, immense lateral pressures folded and overthrust the rocks in a great arc around the old rigid block of the northeast.

They inhabited a great arc of land extending generally from the Korean Peninsula in the east, across the northern tier of China to present-day Kazakhstan and to the Pamir Mountains and Lake Balkash in the west.

The great circles represent the ecliptic ( wider oblique arc ), the equator, and two meridians.

Proposition 30 describes the construction of a curve of double curvature called by Pappus the helix on a sphere ; it is described by a point moving uniformly along the arc of a great circle, which itself turns about its diameter uniformly, the point describing a quadrant and the great circle a complete revolution in the same time.

The Egyptians, Plato asserted, described Atlantis as an island comprising mostly mountains in the northern portions and along the shore, and encompassing a great plain of an oblong shape in the south " extending in one direction three thousand stadia 555 km ; 345 mi, but across the center inland it was two thousand stadia 370 km ; 230 mi.

* The land between Egypt and Canaan of the first Exodus was a " great and terrible wilderness, an arid wasteland " ( Deut 8: 15 ), but in this new Exodus, the land between Babylon ( Mesopotamia ) and the Promised Land will be transformed into a paradise, where the mountains will be lowered and the valleys raised to create level road ( Isa 40: 4 ).

These mountains are recognised by biogeographers as the boundary between two of the Earth's great ecozones: the temperate Palearctic that covers most of Eurasia and the tropical and subtropical Indomalaya ecozone which includes the Indian subcontinent, Southeast Asia and Indonesia.

... My mind feels as if it ached to behold & know something great – something one & indivisible – and it is only in the faith of this that rocks or waterfalls, mountains or caverns give me the sense of sublimity or majesty!

Alberti also claimed that he " excelled in all bodily exercises ; could, with feet tied, leap over a standing man ; could in the great cathedral, throw a coin far up to ring against the vault ; amused himself by taming wild horses and climbing mountains.

His earliest dated drawing is a Landscape of the Arno Valley, 1473, which shows the river, the mountains, Montelupo Castle and the farmlands beyond it in great detail.

Finally, Niggle journeys farther and deeper into the Forest, and beyond into the great mountains that he only faintly glimpsed in his painting.

Southern California was also chosen because of its beautiful year-round weather and varied countryside ; its topography, semi-arid climate and widespread irrigation gave its landscapes the ability to offer motion picture shooting scenes set in deserts, jungles and great mountains.

By the late Paleozoic, continental collisions formed the supercontinent Pangaea and resulted in some of the great mountain chains, including the Appalachians, Urals, and mountains of Tasmania.

Many later passage tombs were constructed at the tops of hills or mountains, indicating that their builders intended them to be seen from a great distance.

From the highest peaks the land slopes down to hilly areas, ( not always, though ; sometimes there is a brusque transition from the mountains to the plains ) and then to the upper, and then the lower the great Padan Plain.

Some, therefore, of the miserable remnant, being taken in the mountains, were murdered in great numbers ; others, constrained by famine, came and yielded themselves to be slaves for ever to their foes, running the risk of being instantly slain, which truly was the greatest favour that could be offered them: some others passed beyond the seas with loud lamentations instead of the voice of exhortation ... Others, committing the safeguard of their lives, which were in continual jeopardy, to the mountains, precipices, thickly wooded forests, and to the rocks of the seas ( albeit with trembling hearts ), remained still in their country.

We can thus understand the localisation of sub-genera, genera, and families ; and how it is that under different latitudes, for instance in South America, the inhabitants of the plains and mountains, of the forests, marshes, and deserts, are in so mysterious a manner linked together by affinity, and are likewise linked to the extinct beings which formerly inhabited the same continent ... On these same principles, we can understand, as I have endeavoured to show, why oceanic islands should have few inhabitants, but of these a great number should be endemic or peculiar ; ...

A great part of this area was, moreover, occupied by mountains.

It is a tranquil area of great natural beauty, consisting of lofty mountains, deep valleys, pastures, lakes, rolling hills and rivers.

A weapon of mass destruction ( WMD ) is a weapon that can kill and bring significant harm to a large number of humans ( and other life forms ) and / or cause great damage to man-made structures ( e. g. buildings ), natural structures ( e. g. mountains ), or the biosphere in general.

Niggle is a painter struggling against the summons of death to complete his one great canvas, a picture of a tree with a background of forest and distant mountains.

" Upon the Mother depend the winds, the ocean, the whole earth beneath the snowy seat of Olympus ; whenever she leaves the mountains and climbs to the great vault of heaven, Zeus himself, the son of Cronus, makes way, and all the other immortal gods likewise make way for the dread goddess ," the seer Mopsus tells Jason in Argonautica ; Jason climbed to the sanctuary high on Mount Dindymon to offer sacrifice and libations to placate the goddess, so that the Argonauts might continue on their way.

Ungoliant had grown great, and less by the power that had gone out of him ; and she rose against him ... Then Morgoth sent forth a terrible cry, that echoed in the mountains.

There Turgon decided to found a great city, designed after the city of Tirion in Valinor that the Noldor had left when they went into exile, that would be protected by the mountains and hidden from the Dark Lord Morgoth.

Lofty mountains, great lakes, dense forests, sprawling grasslands, miles of tea gardens and eucalyptus trees greet the visitors en route to Ooty.

Before long, the great white-capped mountains that loomed above the rapids were called the " mountains by the cascades " and later simply as the " Cascades ".