Projection sentence example
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.
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.
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.Advertisement
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.
The temple of Bacchus stood on a platform of its own formed by a southern projection of the Acropolis.Advertisement
In both of these forts there was an apparently meaningless projection at the gorge.
In the last case they consist of any number of hollow cylindrical pillars, vertical or raking, turned and planed at the ends and united by a projection or socket and by flanges and bolts.
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.
Three walls were covered with digital maps, the fourth with a blank projection screen.
The highest mountain is Kao Luang, an almost isolated projection over 5000 ft.Advertisement
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.Advertisement
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.
In military and naval use "to rake" means to enfilade, to fire so that the shot may pass lengthwise along a ship, a line of soldiers, entrenchments, &c. In the nautical sense of the projection or slope of a ship's bows or stern or the inclination of a mast, the word is apparently an adaptation of the Scandinavian raka, to reach, in the sense of reach forward.
The labial commissure gives off a subradular commissure which also bears two ganglia, these being in close relation to a special sense-organ called the subradular organ, an epithelial projection with nerve-endings, lying in front of the radula and probably gustatory in function.
A small longitudinal projection in the ventral groove represents the A, Lateral view.
It forms an irregular oblong, with a triangular projection (the country of the Adansi) southward.Advertisement
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."Advertisement
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.
With Lotze the ideal that at last the forms of thought shall be realized to be adequate to that which at any stage of actual knowledge always proves relatively intractable is an illuminating projection of faith.Advertisement
It is of course a postulate that all truths harmonize, but to give the harmonious whole in a projection in one plane is an undertaking whose adequacy in one sense involves an inadequacy in another.
In the first place, each of these figures may be conceived as an orthogonal projection of a closed plane-faced polyhedron.
Clerk Maxwell, who showed amongst other things that a reciprocal can always be drawn to any figure which is the orthogonal projection of a plane-faced polyhedron.
This is the axis of the required screw; the amount of the translation is measured by the projection of AB or BC or CD on the axis; and the angle of rotation is given, by the inclination of the aforesaid bisectors.
Work.The work done by a force acting on a particle, in any infinitely small displacement, is defined as the product of the force into the orthogonal projection of the displacement on the direction of the force; i.e.Advertisement
In relation to the theory of suspension bridges the case where the weight of any portion of the chain varies as its horizontal projection is of interest.
Since the projection of a vector- sum is the sum of the projections of the several vectors, the equation (2) gives if x be the projection of 0G.
This merely shows that a particular ellipse may be described under the law of the direct distance provided the circumstances of projection be suitably adjusted.
In order that the spiral may be described it is necessary that the velocity of projection should be adjusted to make h=iju.
Parallel Projections of Systems of Forces.If a balanced system of forces be represented by a system of lines, then will every parallel projection of that system of lines represent a balanced system of forces.Advertisement
For the condition of equilibrium of forces not parallel is that they shall be represented in direction and magnitude by the sides and diagonals of certain parallelograms, and of parallel forces that they shall divide certain straight lines in certain ratios; and the parallel projection of a parallelogram is a parallelogram, and that of a straight line divided in a given ratio is a straight line divided in the same ratio.
The resultant of a parallel projection of any system of forces is the projection of their resultant; and the centre of gravity of a parallel projection of a solid is the projection of the centre of gravity of the first solid.
Then will the projection of that line in the prnjectec figure indicate the vertical direction, and represent the weight of th part of the second structure corresponding to the before-mentione portion of the first structure.
By its aid, for example, the whole of the properties a elliptical arches, whether square or skew, whether level or sloping in their span, are at once deduced by projection from those of symmetrical circular arches, and the properties of ellipsoidal and ellipticconoidal domes from those of hemispherical and circular-conoidal domes; and the figures of arches fitted to resist the thrust of earth, which is less horizontally than vertically in a certain given ratio, can be deduced by a projection from those of arches fitted to resist the thrust of a liquid, which is of equal intensity, horizontally and vertically.
The pitch of a screw is the distance, measured parallel to its axis, between two successive turns of the same thread or helical projection.Advertisement
The radius of the pitch-circle of a wheel is called the geometrical radius; a circle touching the ends of the teeth is called the addendum circle, and its radius the real radius; the difference between these radii, being the projection of the teeth beyond the pitch-surface, is called the addendum.
These seeds, the linseed of commerce, are of a lustrous brown colour externally, and a compressed and elongated oval form, with a slight beak or projection at one extremity.
Varley had advanced tentatively the hypothesis that it consisted in an actual projection of electrified matter from the cathode, and Crookes was led by his researches in 1870, 1871 and 1872 to embrace and confirm this hypothesis in a modified form and announce the existence of a fourth state of matter, which he called radiant matter, demonstrating by many beautiful and convincing experiments that there was an actual projection of material substance of some kind possessing inertia from the surface of the cathode.
Sweden itself may be considered in four main physical divisions - the mountains and highland district, covering all Norrland and the western part of Svealand; the lowlands of central Sweden; the so-called Sma.land highlands, in the south and southeast; and the plains of Ska.ne, occupying the extreme southward projection of the peninsula.
The Taytao peninsula, incorrectly called the Tres Montes on some maps, is a westward projection of the mainland, with which it is connected by the narrow isthmus of Ofqui, over which the natives and early missionaries were accustomed to carry their boats between the Moraleda Channel and Gulf of Penas.
A southern incurving projection of the outer shore-line of this peninsula is known as Tres Montes peninsula, the most southern point of which is a cape of the same name.
The muscular projection of the ventral surface called the foot, whose various modifications characterize the different classes of Mollusca, is almost entirely aborted.
They are known as the Sierras de Chiquitos, and are geologically interesting because of their proximity to the eastern projection of the Andes.
They occupy a large area in the western districts of New South Wales, where a projection from the Archean plateau of central Australia crosses into the state from South Australia; it is best exposed in the Barrier Ranges around Broken Hill.
It is a small somewhat cylindrical projection with the mouth at its anterior end.
The largest proportional size of the facial bones, and the great projection of the jaws, confer on the gorilla's skull its small facial angle and brutal character,while its teeth differ from man's in relative size and number of fangs.
The projection of the muzzle, which gives the character of brutality to the gorilla as distinguished from the man, is yet further exaggerated in the lemurs, as is also the backward position.
If the supporting member is a floor beam or girder the girder should be rigidly connected to the floor system to prevent any twisting due to the weight of the projection.
In Araucaria Cookii and some allied species each scale has a small pointed projection from its upper face near the distal end, the scales of Cunninghamia (China) are characterized by a somewhat ragged membranous projection extending across the upper face between the seeds and the distal end of the scale; in the scales of Athrotaxis (Tasmania) a prominent rounded ridge occupies a corresponding position.
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.
Say the projection is always a line, then if the figure is such that the two planes are parallel, the projection is the intersection of the given plane by a parallel plane, or it is the system of points at infinity on the given plane, that is, these points at infinity are regarded as situate on a given line, the line infinity of the given plane.
But although we thus arrive by projection at the notion of a circuit, it is not necessary to go out of the plane, and we may (with Zeuthen, using the shorter term circuit for his complete branch) define a circuit as any portion (of a curve) capable of description by the continuous motion of a point, it being understood that a passage through infinity is permitted.
A large number of mammals possess a perforation, or foramen, on the inner side of the lower end of the humerus, and also a projection on the shaft of the femur known as the third trochanter.
The roof of the mouth is formed by the palate, terminating behind by a muscular, contractile arch, having in man and a few other species a median projection called the uvula, beneath which the mouth communicates with the pharynx.
Gunter's Quadrant, an instrument made of wood, brass or other substance, containing a kind of stereographic projection of the sphere on the plane of the equinoctial, the eye being supposed to be placed in one of the poles, so that the tropic, ecliptic, and horizon form the arcs of circles, but the hour circles are other curves, drawn by means of several altitudes of the sun for some particular latitude every year.
If projected with this velocity in any direction the point of projection will be at the end of the minor axis of the orbit, because this is the only point of an ellipse of which the distance from the focus is equal to the semi-major axis of the curve, and therefore the only point at which the distance of the body from the sun is equal to its mean distance.
Following the coast southward, Donegal Bay is divided from Galway Bay by the hammer-like projection of county Mayo and Connemara, the square inlet of Clew Bay intervening.
After the stern coast of county Clare there follow the estuary of the great river Shannon, and then three large inlets striking deep into the mountains of Kerry and Cork - Dingle Bay, Kenmare river and Bantry Bay, separating the prongs of the forklike south-western projection of the island.
Their proceedings were very cautious and tentative; they excited the curiosity and interest of even the more intelligent Chinese by their clocks, their globes and maps, their books of European engravings, and by Ricci's knowledge of mathematics, including dialling and the projection of maps.
Io area, and, without deviating from truth of projection, occupied a large space in proportion to the other kingdoms gathered round it.
In the accompanying cut we have endeavoured to portray this map. The projection adopted is a perspective of the hemisphere as viewed from a point at the distance of one diameter from the surface, and situated on the production of.
Something near this must have been Lima-teu's projection.
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.
Form this product for every body or mass of matter in the system, and the sum of the moments is then invariable whatever be the direction of the plane of projection.
His treatment is synthetic, and he follows his tutor and Pascal in deducing the properties of conics by projection from a circle.
The central projection, of which the centre is the middle point of the entrance pupil on the plane focused for, will show in weaker systems, or those very much stopped down, a certain finite depth of definition; that is to say, the totality of points, which lie out of the plane focused for, and which are projected with circles of confusion so small that they appear to the eye as sharp points, will include the sharp object relief, and determine the depth of definition of the lens.
E=plane focused for; 01 *, 02 * =projections of 0102 on E; Z= centre of projection; P P1=a virtual image of real diaphragm P'P 1 ' with regard to the preceding part of the objective is the entrance pupil.
It is a tubular floret, split down on one side, with the united petals forming a straplike projection.
The dorsal suture may be marked by a slight projection or by a superficial groove.
The ovule appears at first as a small cellular projection from the placenta.
Above this island is Oyster Bay, formed by the projection, Freycinet Peninsula.
The natural vision is such that different central projections of the objects are communicated to both eyes; the difference of the two perspective representations arises from the fact that the projection centres are laterally separated by an interval about equal to the distance between the eyes (the inter-pupillary distance).
Using perspective projection the spherical panorama would lose much of its phenomenal reality.
The shape of enamel rod sections of all layers composing the enamel projection was distorted.
Image projection using gobos is now a major part of this trend.
One classic expression of psychological projection is head-over-heels infatuation.
Resonance chamber in bell aids projection and improves intonation in the lower register.
Finally, although poxviruses and the transforming RSV both induce migration and projection formation, poxviruses do not contain src -like genes.
All of these values are taken from data specific to subthalamic projection neurons.
The black lines show the projection into a 2D view of 3D lines reconstructed from all possible 2D pairings.
Even the secrets of using the deck for astral projection are here.
Tool for Stereographic projection - This tools allows you to draw stereographic projections for different crystal types using different poles for the projection axis.
Optimum projection angles in Undergraduate Teaching The work on optimum projection angles has been incorporated into my biomechanics classes.
The default is to use the limits from the current map projection.
Apart from that, a cash flow projection for the upcoming year is drafted to indicate the possibility of recovering the debt.
The Flagship Auditorium has a permanent projection booth to accommodate large-screen presentations, podium control, multi-purpose lighting, and sound system.
Cinema Projection Team The Phoenix's most famous figure is without a doubt Peter Bayley MBE, our chief projectionist.
Projection steps in the EP iteration that cannot be done analytically are done using Gaussian quadrature.
The projection is of him and his young schoolmates - the class of '76, Chuckery Infant School.
At the base, on each corner, is a small rectangular projection above which sit carved scrolls running up the corners.
At every stage of manufacture each test sieve is individually inspected by optical projection including the very latest computer based optical measuring equipment.
Second, the Clinton administration's conversion policy is also clearly subordinate to its continued emphasis on military security and power projection.
A particle viewed down, for example, the three-fold symmetry axis can be readily identified by the three-fold symmetry of the projection.
A slide is defined as a 35mm transparency or overhead projection slide.
Authentic Soho Italiana, but the atmosphere is somewhat vitiated by the large projection TV.
Work consisted of projection welding the M10 weld nuts over the holes located near to the ends of the saddle assembly.
Rotation of the box round CC is prevented by downward pressure of the spring Z on a projection attached to the side of the box.
The study of geography was advanced by improvements in cartography (see MAP), not only in the methods of survey and projection, but in the representation of the third dimension by means of contour lines introduced by Philippe Buache in 1737, and the more remarkable because less obvious invention of isotherms introduced by Humboldt in 1817.
Outside this again lies a projecting semicircular bastion, which commands the entrance from the exterior of the city on the E., a winding trench approached by a pair of double gateways, which are not vaulted but covered by the gradual projection of the upper courses.
The boundary between this point and the extremity of the Malay Peninsula follows the coast of the Northern Pacific and the China Sea, on a line deeply broken by the projection of the peninsulas of Kamchatka and Korea, and the recession of the Sea of Okhotsk, the Yellow Sea, and the Gulfs of Tongking and Siam.
In the larva there is no projection at the time the torsion takes place.
A chart on Mercator's projection is called Wassende graadkaart in Dutch, carte reduite in French.
From the North American grey foxes, constituting the genus or subgenus Urocyon, the true foxes are distinguished by the absence of a crest of erectile long hairs along the middle line of the upper surface of the tail, and also of a projection (subangular process) to the postero-inferior angle of the lower jaw.
The American grey fox, or Virginian fox, is now generally ranged as a distinct genus (or a subgenus of Canis) under the name of Urocyon cinereo-argentatus, on account of being distinguished, as already mentioned, by the presence of a ridge of long erectile hairs along the upper surface of the tail and of a projection to the postero-inferior angle of the lower jaw.
If we imagine the aperture reduced to two equal narrow slits bordering its edges, compensation will evidently be complete when the projection on an oblique direction is equal to 2X, instead of X as for the complete aperture.
Oughtred's English edition (1633) of the Recreations mathematiques (1627) of Jean Leurechon ("Henry van Etten") there is a quaint description, with figures, of the simple dark chamber with aperture, and also of a sort of tent with a lens in it and the projection on an inner wall of the face of a man standing outside.
Negative products will arise if in moving from A to E along the perimeter of either side of the figure the projection of the moving point does not always move in the direction AE.
For many years this southern projection of the northern wilderness was spanned by only one railway, and offered a serious hindrance to the development of the regions beyond; but settlements are now spreading to the north and rapidly filling up the gap between east and west.
To define the moment of a force about an axis HK, we project the force orthogonally on a plane perpendicular to HK and take the moment of the projection about the intersection of ilK with the plane (see 4).
But there are cases in which the motions of both bodies are appreciable, and must be taken into accountsuch as the projection of projectiles, where the velocity of the recoil or backward motion of the gun bears an appreciable proportion to the forward motion of the projectile; and such as the propulsion of vessels, where the velocity of the water thrown backward by the paddle, screw or other propeller bears a very considerable proportion to the velocity of the water moved forwards and sideways by the ship. In cases of this kind the energy exerted by the effort is distributed between the two bodies between which the effort is exerted in shares proportional to the velocities of the two bodies during the action of the effort; and those velocities are to each other directly as the portions of the effort unbalanced by resistance on the respective bodies, and inversely as the weights of the bodies.
The length of the state from north to south, disregarding the St Francis projection southward, is 282 m., 1 the width from west to east varies from 208 to 308 m., and the total area is 69,420 sq.
In the former the prothallus produces one or more fern-plants vegetatively, the projection which develops into the sporophyte in many cases occupying the position of an archegonium.
The amazing quality of the plasma TV is also due to its image projection.
This 10-theater entertainment center contains digital projection in all their theaters and has stadium seating with large, plush chairs.
A catalog of merchandise is available to choose rewards from, ranging from a CD for 1,700 points to a 52-inch high definition projection television for 249,500 points.
First, you will need to provide information about the finances of your law firm and a projection of your funding needs.
Choices in big screen televisions include HDTV (high-definition television), plasma screens, and projection models.
When you are choosing your furniture and other accessories, remember that your TV or projection screen is the focal point of the room.
A projection system and screen works best in this kind of room, and you can even add your own popcorn machine and posters of "coming attractions."
The tenon is a projection of wood at the end of wood plank or board.
Is your retirement projection on target to attain independent living?
Axon-A long, threadlike projection that is part of a neuron (nerve cell).
Projection is a psychological mechanism by which a person unconsciously projects inner feelings onto the external world, then imagines those feelings are being expressed by the external world toward him or herself.
Another theory revolves around astral projection, which is the belief that your soul leaves your body during sleep and might be shocked or frightened by its reflection.
Profitability is determined by either a business plan (a projection of future profitability - no history) or the length of time a business has been successfully profitable (historical profitability).
The Eyeclops displays the chosen application on a larger scale than a normal television, up to sixty inches, depending on how large you set the projection.
There, small projection fingers called villi have the job of absorbing nutrients from your food into the body to nourish cells.
It also permits the projection of subtitles over foreign films.
The projection system is uniquely designed to specifically use the IMAX's 70mm film stock as well as run it at a higher rate of speed of 24 frames a second.
The IMAX DOME, originally billed as the OMNIMAX, is a variation of the standard IMAX theater and is designed for projection or tilted dome screens.
Within the literature for these experiences, the phenomenon has several names including astral projection, near death experiences and out of body experiences.
If the process of astral projection transmits a form of energy of our consciousness, researchers believe that this energy could potentially create apparitions that people at those remote locations sometimes witness.
In other words, a living human who is having an out of body experience or astral projection may appear to someone else as a ghost.
Out-of-body travel is known by a wide variety of other terms including astral travel, astral projection and psychic travel.
Buddhism also incorporates references to achieving astral projection in enlightened states.
Whether you've just heard about out of body travel or you are an expert in astral projection, there are out of body travel classes available for every experience level and every interest.
Since the sightings stopped after the bridge collapse, and one sighting was over the bridge just before the collapse, some paranormal investigators theorize that the mothman was actually some type of psychic projection.
Projection televisions offer superior quality as well, but they feature a larger footprint than LCD or plasma screens and cannot be wall-mounted.
Some alarm clocks have a projection feature and this projects the time onto a wall or ceiling, making it easy to read.
The projection watch is operated by battery and the battery comes already fitted in the watch.
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.
Each such projection is regarded as representing a cup or hydrotheca, similar to those borne by a calyptoblastic hydroid, such as Sertularia.
In all probability the western projection of Africa was connected by a land bridge with the opposite land of Brazil as late as the Eocene period of the Tertiary epoch.
As a result of this backward projection of later conceptions, the recovery of the true historical nucleus is difficult.
The octahedral formula discussed by Julius Thomsen (Ber., 1886, 19, p. 2 944) consists of the six carbon atoms placed at the corners of a regular octahedron, and connected together by the full lines as shown in (I); a plane projection gives a hexagon with diagonals (II).
It will suffice therefore to point out that the ordinary needs of the cartographer can be met by conical projections, and, in the case of maps covering a wide area, by Lambert's equal area 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.
Marinus was the first who laid down the position of places on a projection according to their latitude and longitude, but the projection used by him was of the rudest.
Ptolemy's great merit consists in having accepted the views of Hipparchus with respect to a projection suited for a map of the world.
The 26 special maps are drawn on a rectangular projection.
Dulceti, 1339, and b, On Mercator's projection, according to modern maps.
Nicolaus Germanus, a monk of Reichenbach, in 1466 prepared a set of Ptolemy's maps on a new projection with converging meridians; and Paolo del Pozzo Toscanelli in 1474 compiled a new chart on a rectangular projection, which was to guide the explorer across the western ocean to Cathay and India.
A similar work is the Arcano del mare of Sir Robert Dudley, duke of Northumberland, the numerous sheets of which are on Mercator's projection (1631).
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.
The promontory itself consisted of two parts - the hill of Munychia, and the projection of Acte; on the opposite side of the great harbour was the outwork of Eetioneia.
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 hind-foot is remarkable for the great backward projection of the calcaneum, and likewise for the peculiar shape of the astragalus; the middle toe alone carries a claw, this being of huge size, and ensheathed like those of the fore foot.
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.
In this style the surface of the design is not raised above the general plane of the field, but an effect of projection is obtained either by recessing the whole space immediately surrounding the design, or by enclosing the latter in a scarped frame.
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.
In a vacuum, the projectile acted on by the force of projection begins to fall under the action of gravity immediately it leaves the bore, and under the combined action of these two forces the path of the projectile is a parabola.
While some of the phenomena seem to indicate that the projection of metallic vapours into the centre of the spark is a process of molecular diffusion independent of the mechanism of the discharge, the different velocities obtained with bismuth, and the probability that the vibrating systems are not electrically neutral, seem to indicate that the projected metallic particles are electrified and play some part in the discharge.
In projective geometry it is convenient to define a conic section as the projection of a circle.
Make sure you are speaking to your audience, not to the floor, ceiling, or 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.
Second, the Clinton administration 's conversion policy is also clearly subordinate to its continued emphasis on military security and power projection.
A4 The accuracy of a projection depends on the accuracy of the initial data and on the validity of the underlying assumptions.
If the waterline projection at the stern of the Thera ships is not a projecting keel or ram what is it?
You will find several flat-panel options, HDTV projection systems and large wide-screen models when you shop.
If you have the space and the money, you can also install an actual screen and show movies with a front or rear projection system.
The Coal Measures become narrower in the south, until, owing to the eastward projection of the highlands, the Lower Palaeozoic rocks reach the coast.
It is convenient to employ a specific name for a projection of a coast-line less pronounced than a peninsula, and for an inlet less pronounced than a bay or bight; outcurve and incurve may serve the turn.
In the north-east, French explorers have computed the altitudes of some mountains at figures which would make them the highest land surfaces of the western projection of Africa - from 6000 to 9000 ft.
The indiscriminate use of Mercator's projection, for maps of the world, is to be deprecated owing to the inordinate exaggeration of areas in high latitudes.
South of the Amazon valley and filling a great part of the eastern projection of the continent, is another arid, semi-barren plateau, lying within the southeast trade winds belt, and extending from Piauhy southward to southern Bahia.
In another direction, making a small angle with the last, such that the projection of AB upon it amounts to a few wavelengths, it is easy to see that the mode of interference is the same as if there were no ruling.
To give a simple instance, hanging to the stereographic projection by putting tan 20=x, ill give a possible state of motion of the axis of the body; and the otion of the centre may then be inferred from (22).
The plane projection of molecular structures which differ stereochemically is discussed under Stereoisomerism; in this place it suffices to say that, since the terminal groups of the hexaldose molecule are different and four asymmetric carbon atoms are present, sixteen hexaldoses are possible; and for the hexahydric alcohols which they yield on reduction, and the tetrahydric dicarboxylic acids which they give on oxidation, only ten forms are possible.
The cessation of the rains on the southern border of Baluchistan, west of Karachi, obviously arises from the projection of the south-east coast of Arabia, which limits the breadth of the south-west monsoon air current and the length of the coast-line directly exposed to it.
It is not certain that the projection of the spire to the originally left side of the shell has anything to do with the falling over of the shell to that side.
Thus he says that the silver which has been changed into gold by the projection of the red elixir is not rendered resistant to the agents which affect silver but not gold, and Albertus Magnus in his De Mineralibus - the De Alchemia attributed to him is spurious - states that alchemy cannot change species but merely imitates them - for instance, colours a metal white to make it resemble silver or yellow to give it the appearance of gold.
We will next suppose that the light is transmitted by a slit, and inquire what is the effect of varying the width of the slit upon the illumination at the projection of its centre.
The sea does not appear to have extended completely across Australia, breaking it into halves, for a projection from the Archean plateau of Western Australia extended as far east as the South Australian highlands, and thence probably continued eastward, till it joined the Victorian highlands.
It is, however, always possible to recognize a head, which consists at least of the peristomial segment with a forward projection of the same, the prostomium.
The great westward projection of the coast of Africa, and the islands to the north-west of that continent, were the principal scene of the work of the mariners sent out at his expense; but his object was to push onward and reach India from the Atlantic. The progress of discovery received a check on his death, but only for a time.
The cylindrical and modified conical projections of Marinus and Ptolemy were still widely used, the stereographical projection of Hipparchus, was for the first time employed for terrestrial maps in the 16th century, but new projections were introduced in addition to these.
In the latter form old trees, the summer pruning of which has been neglected, are apt to acquire an undue projection from the wall and become scraggy, to avoid which a portion of the old spurs should be cut out annually.
Some one balances the toboggan on the very crest of the hill, while we get on, and when we are ready, off we dash down the side of the hill in a headlong rush, and, leaping a projection, plunge into a snow-drift and go swimming far across the pond at a tremendous rate!...
Taking the axis of x for an instant in the normal through a point on the surface H = constant, this makes u = o, = o; and in steady motion the equations reduce to dH/dv=2q-2wn = 2gco sin e, (4) where B is the angle between the stream line and vortex line; and this holds for their projection on any plane to which dv is drawn perpendicular.