noun

definition

Something which projects, protrudes, juts out, sticks out, or stands out.

example

The face of the cliff had many projections that were big enough for birds to nest on.

definition

The action of projecting or throwing or propelling something.

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The crisis or decisive point of any process, especially a culinary process.

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The display of an image by devices such as movie projector, video projector, overhead projector or slide projector.

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A forecast or prognosis obtained by extrapolation

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A belief or assumption that others have similar thoughts and experiences as oneself

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The image that a translucent object casts onto another object.

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Any of several systems of intersecting lines that allow the curved surface of the earth to be represented on a flat surface. The set of mathematics used to calculate coordinate positions.

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An image of an object on a surface of fewer dimensions.

definition

An idempotent linear transformation which maps vectors from a vector space onto a subspace.

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A transformation which extracts a fragment of a mathematical object.

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A morphism from a categorical product to one of its (two) components.

Examples of projection in a Sentence

Nicolaus Germanus (1466), naturally led to what is generally known as Flamsteed's projection.

Glareanus (1510) was the first to employ an equidistant zenithal polar projection.

Ptolemy's great merit consists in having accepted the views of Hipparchus with respect to a projection suited for a map of the world.

Something near this must have been Lima-teu's projection.

The Measurement of Areas is easily effected if the map at our disposal is drawn on an equal area projection.

On the other hand a map drawn on the surface of a sphere representing a terrestrial globe will prove true to nature, for it possesses, in combination, the qualities which the ingenuity of no mathematician has hitherto succeeded in imparting to a projection intended for a map of some extent, namely, equivalence of areas of distances and angles.

Dulceti, 1339, and b, On Mercator's projection, according to modern maps.

For the subjects under this heading see the articles CONIC SECTIONS; CIRCLE; CURVE; GEOMETRICAL CONTINUITY; GEOMETRY, Axioms of; GEOMETRY, Euclidean; GEOMETRY, Projective; GEOMETRY, Analytical; GEOMETRY, Line; KNOTS, MATHEMATICAL THEORY OF; MENSURATION; MODELS; PROJECTION; Surface; Trigonometry.

For those orbits whose projection upon a plane perpendicular to the field is righthanded, the period of revolution will be accelerated by the field (since the electron current is negative), and the magnetic moment consequently increased; for those which are left-handed, the period will be retarded and the moment diminished.

For example, when the direction is such that the projection of AB upon it amounts to one wave-length, the elementary components neutralize one another, because their phases are distributed symmetrically, though discontinuously, round the entire period.

The orthogonal projection of a section of this surface by a plane containing one of the perpendiculars and inclined to the axis is the quadratrix.

He seems to have been well acquainted with the projection of images of objects through small apertures, and to have been the first to show that the arrival of the image of an object at the concave surface of the common nerve - or the retina - corresponds with the passage of light from an object through an aperture in a darkened place, from which it falls upon a surface facing the aperture.

His arrangement of concave and plane mirrors, by which the realistic images of objects inside the house or in the street could be rendered visible though intangible, there alluded to, may apply to a camera on Cardan's principle or to a method of aerial projection by means of concave mirrors, which Bacon was quite familiar with, and indeed was known long before his time.

Most of the writers already noticed worked out the problems connected with the projection of images in the camera obscura more by actual practice than by calculation, but William Molyneux, of Dublin, seems to have been the first to treat them mathematically in his Dioptrica Nova (1692), which was also the first work in English on the subject, and is otherwise an interesting book.

A very important feature of the faade is the portico or porch-way, which covers the principal steps and is generally formed by producing the central portion of the main roof over the steps and supporting such projection upon isolated wooden pillars braced together near the top with horizontal ties, carved, moulded and otherwise fantastically decorated.

The vaulting of the three portals is of exceptional depth owing to the projection of the lower storey of the facade.

Having entered the Society of Jesus in 1586, he was successively professor of philosophy at Douai and rector of the Jesuit College at Antwerp. He wrote a treatise on optics in six books (Antwerp, 1613), notable for containing the principles of stereographic projection.

When a part of the body has found some projection of the ground which affords it a point of support, the ribs are drawn more closely together, on alternate sides, thereby producing alternate bends of the body.

The hinder portion of the body being drawn of ter, some part of it (c) finds another support on the rough ground or a projection; and, the anterior bends being stretched in a straight line, the front part of the body is propelled (from a to d) in consequence.

These proportions are not readily grasped from a map of the world on Mercator's projection, and must be studied on a globe.

The losses are caused by volatilization, by the absorption of metal by the crucible, stirring rod, &c., and by occasional projection of particles from the pot into the furnace.

If these suppositions have a basis of reality, the proper motion of Algol should be disturbed by a small, but measurable undulation, corresponding to the projection of its orbit upon the sky; and although certainty on the point cannot be attained for some years to come, Lewis Boss regarded the evidence available in 1895 as tending to confirm Dr Chandler's theory.6 Proceedings Amer.

Just within the Lion Gate is a projection of the wall surrounding a curious circular enclosure, consisting of two concentric circles though the historical identity of the persons actually buried in them is a more difficult question.

Those of the White system have opentrough valleys bordered by hills in their upper courses and canyons in their lower courses; others, notably the Gasconade, exhibit re 1 Counting the St Francis projection the length is 328 m.

The western edge of these follows an irregular line from Schuyler county, on the northern border, to Barton county, on the western border, of the state, but with a great eastward projection north of the Missouri river, to Montgomery county.

If with a given centre of projection, by drawing from it lines to every point of a given line, we project the given line on a given plane, the projection is a line, i.e.

The area of the ellipse is 7rab, where a, b are the semi-axes; this result may be deduced by regarding the ellipse as the orthogonal projection of a circle, or by means of the calculus.

Three walls were covered with digital maps, the fourth with a blank projection screen.

Two 20 x 7.5 meter stretcher frames were fabricated to provide for two large front projection screens, that angled out over the auditorium.

The alarm clock has many useful features, including a projection function.

Next, you need to make a projection for three to five years in the future including how you will arrive at these objectives.

However, with a little projection it's much easier to fill the air with the sounds of your own cheers.

Since the destruction of Caprica, he experiences a mental projection of a Cylon Six model who guides him, offers advice and commands.

The highest mountain is Kao Luang, an almost isolated projection over 5000 ft.

A chart on an isographic projection, exhibiting all the stars contained in the Bonn Durchmusterung, was designed to show the laws according to which the stars down to the 9 - 10th magnitude are distributed over the northern heavens.

At one angle, a square pillared projection contains the marble fountain or monks' lavatory, evidently the work of Moslem sculptors.

It flows first to the north, then to the north-west, passing out of the Yukon territory into Alaska, and then south-west, ending in Bering Sea, the northward projection of the Pacific, 2000 m.

Thus a fall in the gradient at any point in the course of a stream; any snag, projection or dam, impeding the current; the reduced velocity caused by the overflowing of streams in flood and the dissipation of their energy where they enter a lake or the sea, are all contributing causes to alluviation, or the deposition of streamborne sediment.

The projection at the right-hand lower corner of the figure is the angular process of the lower jaw.

Olszewski, and illustrated for the first time in public the liquefaction of oxygen and air, by means of apparatus specially designed for optical projection so that the actions taking place might be visible to the audience.

It forms an irregular oblong, with a triangular projection (the country of the Adansi) southward.

The verniers are attached to arms uu bearing on an enlargement of one trunnion of the telescope, one arm pro j ecting downwards and embracing a projection on the standard t.

A body thrown from the hand would, under the single impulse of projection, move for ever in a straight line; but it would not be reasonable to take special action for the prevention of this result, ignoring the fact that it will be sufficiently counteracted by the other forces which will come into play.

The hardening of the extremities of the fibro-vascular tissue is the cause of the spiny margin of many leaves, such as the holly, of the sharp-pointed leaves of madder, and of mucronate leaves, or those having a blunt end with a hard projection in the centre.

The divergences may also be represented diagrammatically on a horizontal projection of the vertical axis, as in fig.

Between the Palaeozoic area near Ottawa, and Georgian Bay to the north of the region just referred to, there is a southward projection of the Archaean protaxis consisting of granite and gneiss of the Laurentian, enclosing bands of crystalline limestone and schists, which are of interest as furnishing the only mines of "Old Ontario."

If after a heavy earthquake we find bodies that have been projected or overturned, then by observing the distance of projection, and the height through which they have fallen, or their dimensions, we can 5.

The statement that he proceeded along the coasts of Europe "from Gades to the Tanais" is evidently based upon the supposition that this would be a simple and direct course along the northern shores of Germany and Scythia - Polybius himself, in common with the other Greek geographers till a much later period, being ignorant of the projection of the Danish or Cimbric peninsula, and the circumnavigation that it involved - of all which no trace is found in the extant notices of Pytheas.

Pytheas's notice of the depth of the Bay of Biscay, of the length of the projection of Brittany, of Ushant under the name of Uxisama, and of three promontories of Britain, two of which seem to correspond to Land's End (Beler'ion), and North Foreland (Kantion), must not be forgotten.

Towards the north-east the promontory of Biarritz ends in a projection known as the Atalaye, crowned by the ruins of a castle and surrounded by rocky islets.

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