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More "Ellipse" Quotes from Famous Books
 ... as they drew nearer to the star, and Arcot was forcing the ship on with all the additional power he could get. But he knew that the only hope they had was to get the ship in a closed ellipse around the star, and a closed ellipse meant that they would be forever bound to the star as a planet! Helpless, for not even the titanic power of the Ancient Mariner could enable them ...
— Islands of Space • John W Campbell
... mind's eye hung masses of glossy black hair, waving along the brows and falling over the shoulders in curling clusters. Within this ebon framework were features to mock the sculptor's chisel. The mouth, with its delicate rose-coloured ellipse; the nose, with smooth straight outline, and small recurvant nostril; the arching brows of jet; the long fringes upon the eyelids; all were vividly before me, and all unlike the features of Eugenie Besancon. The colour of the skin, too—even that was different. It was not that Circassian white that ...
— The Quadroon - Adventures in the Far West • Mayne Reid
... activity were evident enough upon the entire landscape. On the west side we had a horseshoe-shaped vertical wall—seemingly containing an extinct crater—and yet another on the north side of the western end of the elongated ellipse which was ...
— Across Unknown South America • Arnold Henry Savage Landor
... low, with lofty towers at the corners, and one huge dome in the middle, rising from the roof to half the height of the towers. The main entrance was in the centre of the front—a low arch that seemed half an ellipse. No one was visible, the doors stood wide open, and I went unchallenged into a large hall, in the form of a longish ellipse. Toward one side stood a cage, in which couched, its head on its paws, ...
— Lilith • George MacDonald
... refer to ethics, in that case there will be a strange change of subject in passing from quisquam to haec ipsa, both which expressions will be nominatives to poterit, further, there will be the almost impossible ellipse of ars, scientia, or something of the kind after haec ipsa. On every ground the reading of Madv. is insupportable. Quid, haec ipsa: I have added quid to fill up the lacuna left by Halm, who supposes much more to have fallen out. ...
— Academica • Marcus Tullius Cicero
... consists of only half an ellipse, the southern half being replaced by the area H, which we have already described. It has a rectangular niche to the west containing a fine trilithon with a cover-slab nearly ...
— Rough Stone Monuments and Their Builders • T. Eric Peet
... turned a bend and saw in front of us a clear placid reach, on which the reds and purples were serenely dying, and at a distance of about half a mile, a fine bridge with the large central arch forming with its reflection in the water a perfect ellipse. ...
— Two Summers in Guyenne • Edward Harrison Barker
... talked in paradox and ellipse. He threw his sentences into air, and let them find their ...
— Helbeck of Bannisdale, Vol. II • Mrs. Humphry Ward
... made a second ascent with the same passengers as before, with the exception of the Duke. According to the report of the brothers Robert, they succeeded in completing an ellipse and then travelled further in the direction of the wind without using the oars or steering arrangements. They then deviated their course somewhat by the use of these implements and landed at Bethune, about 180 ...
— British Airships, Past, Present, and Future • George Whale
... second class, of those lines whose nature is to proceed for ever into space. Any portion of a circle, for instance, is, by the law of its being, compelled, if it continue its course, to return to the point from which it set out; so also any portion of the oval curve (called an ellipse), produced by cutting a cylinder obliquely across. And if a single point be marked on the rim of a carriage wheel, this point, as the wheel rolls along the road, will trace a curve in the air from one part of the road to another, which is called a cycloid, ...
— Modern Painters, Volume IV (of V) • John Ruskin
... The resulting home ranges were polygonal figures. Haugen (1942) altered this method by drawing lines that connected points midway between the actual points of capture and the next outermost traps in the grid. Fitch (1947) used a method for enclosing all points of capture in a circle or ellipse that represented the home range boundaries and expressed home range as the diameter of these figures. Another method, which has been used to determine the home range of birds, is to map the movements of an individual as it is observed. Stebler (1939) suggested the use of tracking records ...
— Home Range and Movements of the Eastern Cottontail in Kansas • Donald W. Janes
... represent a plain surface as produced by the flowing of a right line. It will immediately be objected, that our idea of a surface is as independent of this method of forming a surface, as our idea of an ellipse is of that of a cone; that the idea of a right line is no more precise than that of a plain surface; that a right line may flow irregularly, and by that means form a figure quite different from a plane; and that therefore we must suppose it to flow along two right lines, parallel ...
— A Treatise of Human Nature • David Hume
... that a weapon with a fission yield of 1 million tons TNT equivalent power (1 megaton) exploded at ground level in a 15 miles-per-hour wind would produce fallout in an ellipse extending hundreds of miles downwind from the burst point. At a distance of 20-25 miles downwind, a lethal radiation dose (600 rads) would be accumulated by a person who did not find shelter within 25 minutes after the time the fallout began. At a distance ...
— Worldwide Effects of Nuclear War: Some Perspectives • United States Arms Control and Disarmament Agency
... our will as the centre of our individuality, but we should do better to picture our individuality as an ellipse rather than a circle, a figure having two "conjugate foci," two equilibriated centres of revolution rather than a single one, one of which is the will-power or faculty of doing, and the other the consciousness or perception of being. If we realise only one of these ...
— The Hidden Power - And Other Papers upon Mental Science • Thomas Troward
... in with greater severity on account of the curvature at either end of the major axis of the ellipse being sharper than it is at the end of any diameter of the circle, the sectional areas, of ...
— Broad-Sword and Single-Stick • R. G. Allanson-Winn
... of human events is so little susceptible of that kind of evidence which can compel our belief; so many are the disturbing forces which, in every cycle or ellipse of changes, modify the motion given by the first projection; and every age has, or imagines it has, its own circumstances, which render past experience no longer applicable to the present case; that there will never be wanting answers, ...
— Specimens of the Table Talk of S.T.Coleridge • Coleridge
... est idem'), so here the simile fails, for there is nothing in our loves that corresponds to the cold north, or the declining west, which in two hemispheres must necessarily be supposed. But an ellipse of such length will scarcely rescue the line from the charge of nonsense or ...
— Literary Remains (1) • Coleridge
... and likewise all the properties of figures. He is acute and He is obtuse, because He is at one and the same time all possible triangles; his radii are at once equal and unequal, because He is both the circle and the ellipse—and He is the hyperbola besides, which is an ...
— The Well of Saint Clare • Anatole France
... flag is dark blue with a narrow red border on all four sides; centered is a red-bordered, pointed, vertical ellipse containing a beach scene, outrigger canoe with sail, and a palm tree with the word GUAM superimposed in bold red letters; US flag is the ...
— The 1997 CIA World Factbook • United States. Central Intelligence Agency.
... bodies as projected into space, and thus moving according to laws similar to that which governs the motion of a stone thrown from the hand. If two bodies alone were concerned, say the sun and a planet, the orbit of the lesser around the greater would be an ellipse, which would never change its form, size, or position. That the orbits of the planets and asteroids do change, and that they are not exact ellipses, is due to their attraction upon each other. The question is, do ...
— The Reminiscences of an Astronomer • Simon Newcomb
... all crowned my efforts, though I 'divided my swift mind,' now hither, now thither, in a way that I felt sure would have made AEneas green with envy: but the dimly-seen oval remained as provokingly blank as ever—a mere Ellipse, as if in some mathematical diagram, without even the Foci that might be made to do duty as a nose and a mouth. Gradually, however, the conviction came upon me that I could, by a certain concentration of thought, think the ...
— Sylvie and Bruno • Lewis Carroll
... Books in Greek and as to three more in Arabic, the eighth being lost. From Apollonius's prefaces we can judge of the relation of his work to Euclid's Conics, the content of which answered to the first three Books of Apollonius. Although Euclid knew that an ellipse could be otherwise produced, e. g. as an oblique section of a right cylinder, there is no doubt that he produced all three conics from right cones like his predecessors. Apollonius, however, obtains them in the most general way by cutting any oblique cone, and his original axes of reference, ...
— The Legacy of Greece • Various
... leave behind it a trail of light to mark its orbit, and our perceptions of form were sufficiently acute, we should see that these curves of light are not exact circles, but a little flattened into an ellipse, with the sun always in one of the foci. Hence each planet is nearer to the sun at one part of its orbit than another; that point is called the perihelion, and the farthest point aphelion. This eccentricity ...
— Recreations in Astronomy - With Directions for Practical Experiments and Telescopic Work • Henry Warren
... seconds he heard another crack, and still another, which sent him into a hard gallop. As the horse quickened his pace, Kettle dropped the reins, and grasping Corporal around the neck, hung on desperately as the horse sped around the great ellipse. At a word from Sergeant Briggs, the horse stopped and walked sedately to the middle of the hall. Kettle slipped off and staggered ...
— Betty at Fort Blizzard • Molly Elliot Seawell
... needles of metal holding the curious electric globes, while at regular intervals blue domes like gigantic azure bubbles interrupted the streets of square and colonnaded houses, that began around the amphitheatre, with pale saffron tones, and grew in intensity until the edges of the huge populous ellipse were laid like a deep orange rim upon the green country side. The light falling upon this reflected, refracted and dispersed, seemed to convert it into a liquid and faintly throbbing lake of color, cut up into segments by the dark lanes or ...
— The Certainty of a Future Life in Mars • L. P. Gratacap
... the tower, which rises in diminishing stages to the height of 260 feet and there ends in an embattled platform, account for the singularly feudal and fortress-like character of the building. The outline of the buttresses being that of a semi-ellipse, they look like turrets carried up the entire face of the wall. The floor of the church is many feet above the ground, and the entrance was originally protected by a drawbridge and portcullis; but these military works were removed in the sixteenth century, and in ...
— Wanderings by southern waters, eastern Aquitaine • Edward Harrison Barker
... the word to recommence the bombardment had been flashed round the circuit of the entrenchments, more than half the batteries had been put out of action. The twelve air-ships stationed at equal intervals round the vast ellipse, and discharging their No. 3 shell from their four guns ahead and astern, from an elevation of four thousand feet, had simultaneously wrecked half the batteries of the besiegers before their occupants had any clear idea of ...
— The Angel of the Revolution - A Tale of the Coming Terror • George Griffith
... her own children who, while obeying the paternal influence of the fiery orb, are also obedient to the world that governs them. These secondary asters, or satellites, follow the planets in their course, and revolve round them in an ellipse, just as the others rotate round the Sun. Every one knows the satellite of the Earth, the Moon. All the other planets of our system have their own moons, some being even more favored than ourselves in this respect, and having several. Mars has two; Jupiter, ...
— Astronomy for Amateurs • Camille Flammarion
... round to the far side of the kopje, and then through a narrow gap of the rocks into a natural amphitheatre, wherein there was ample room for the formation of a great laager, the wagons being arranged in an irregular ellipse, thoroughly hidden from the veldt outside, while the rocks of the kopje roughly formed a rampart of vast ...
— A Dash from Diamond City • George Manville Fenn
... satellites, the variety of orbital and axial movement which is developed taxes the computing genius of the ablest astronomer. The path which our earth follows around the sun, though it may in general and for convenience be described as a variable ellipse, is, in fact, a line of such complication that if we should essay a diagram of it on the scale of this page it would not be possible to represent any considerable part of its deviations. These, in fact, would elude depiction, even if the draughtsman ...
— Outlines of the Earth's History - A Popular Study in Physiography • Nathaniel Southgate Shaler
... investigation. They specialized in chemistry and astronomy, all measurements being applied to the heavenly bodies. Their main service was found in accurate records of data. Kepler maintained "that every planet moved in an ellipse of which the sun occupied one focus." He also held "that the square of the periodic time of any planet is proportional to the cube of its mean distance from the sun," and "that the area swept by the radius vector from the planet to the sun ...
— History of Human Society • Frank W. Blackmar
... in the curtain there was a tiny hole, and through this opening the moonlight streamed, falling upon the table in a small, silvery ellipse, of a size which one might cover ten times with one's hand. It was natural that in this little well of pale and dreamlike radiance the Singing Mouse should find it fit to manifest itself. I knew not when it came, but as I looked, the spot had found a tenant. The small, transparent ...
— The Singing Mouse Stories • Emerson Hough
... we believe that 'to Him' and 'for good' are 'all things,' we cannot tell how all will come circling round. We are like men looking only at one small segment of an ellipse which ...
— Expositions of Holy Scripture - Isaiah and Jeremiah • Alexander Maclaren
... impossibly long ellipse now, surrounded by a vast array of smaller bodies, fragments and contents of the ship. Now the stricken globe moved completely free of its companion. It rotated, presenting a crescent toward us, then wheeled farther ...
— Greylorn • John Keith Laumer
... quoniam is read and no break made at adducere, all after quoniam will refer to ethics, in that case there will be a strange change of subject in passing from quisquam to haec ipsa, both which expressions will be nominatives to poterit, further, there will be the almost impossible ellipse of ars, scientia, or something of the kind after haec ipsa. On every ground the reading of Madv. is insupportable. Quid, haec ipsa: I have added quid to fill up the lacuna left by Halm, who supposes much more to have ...
— Academica • Marcus Tullius Cicero
... strange to me, but suggested Indian origin. It was long and low, with lofty towers at the corners, and one huge dome in the middle, rising from the roof to half the height of the towers. The main entrance was in the centre of the front—a low arch that seemed half an ellipse. No one was visible, the doors stood wide open, and I went unchallenged into a large hall, in the form of a longish ellipse. Toward one side stood a cage, in which couched, its head on its paws, a huge leopardess, chained ...
— Lilith • George MacDonald
... to counting the number of errors made, it is interesting to note with what forms they occur. To match the circle with the ellipse or the octagon, for example, is a less serious error than to match it with the ...
— The Measurement of Intelligence • Lewis Madison Terman
... not describe a circle round the earth, but an ellipse, of which our earth occupies one of the foci; the consequence is, therefore, that at certain times it approaches nearer to, and at others recedes farther from, the earth, or, in astronomical language, it has its apogee and its perigee. At its apogee ...
— The Moon-Voyage • Jules Verne
... discovers the laws of numbers and figures, and yet, that when he looks abroad into nature, he finds that things are obeying the same laws which he has ascertained for himself in his own mind. Man forms the idea of an ellipse, and ascertains the laws of ellipses. And the heavenly bodies move according to the laws which he has established. (It is not, of course, a question here of the astronomical views of the Pythagoreans. What may be said about these may equally be said of Copernican ...
— Christianity As A Mystical Fact - And The Mysteries of Antiquity • Rudolf Steiner
... the planets are ellipses, because, for all ordinary purposes, that is a sufficiently near approximation to the truth; but, as a matter of fact, the centre of gravity of a planet describes neither an ellipse or any other simple curve, but an immensely complicated undulating line. It may fairly be doubted whether any generalisation, or hypothesis, based upon physical data is absolutely true, in the sense that a mathematical proposition is so; but, if its errors can become apparent only outside ...
— The Advance of Science in the Last Half-Century • T.H. (Thomas Henry) Huxley
... nebula. A fret is a series of highly conventionalized spirals: translate it from angular to curved and we have the wave-band; isolate it and we have the volute. Egg and dart are phallic emblems, female and male; or, if you prefer, as ellipse and straight line, they are symbols of finite existence contrasted with infinity. ...
— Architecture and Democracy • Claude Fayette Bragdon
... that in his science, also, similarity of outline does not always indicate identity of character. Compare the different circles,—the perfect circle, in which every point of the periphery is at the same distance from the centre, with an ellipse in which the variation from the true circle is so slight as to be almost imperceptible to the eye; yet the latter, like all ellipses, has its two foci by which it differs from a circle, and to refer it to the family of circles instead of the family of ellipses would be overlooking its true character ...
— Atlantic Monthly, Vol. 9, No. 54, April, 1862 • Various
... Sun is a patriarch, and each of his daughters has her own children who, while obeying the paternal influence of the fiery orb, are also obedient to the world that governs them. These secondary asters, or satellites, follow the planets in their course, and revolve round them in an ellipse, just as the others rotate round the Sun. Every one knows the satellite of the Earth, the Moon. All the other planets of our system have their own moons, some being even more favored than ourselves in this respect, and having several. Mars has two; Jupiter, five; Saturn, eight; Uranus, four; and ...
— Astronomy for Amateurs • Camille Flammarion
... ill qualified to sustain a comparison with the awful temples of the middle ages, is not without grace and dignity. Near the Cathedral rose the palace of the Bishop, whose see was one of the most valuable in Ireland. The city was in form nearly an ellipse; and the principal streets formed a cross, the arms of which met in a square called the Diamond. The original houses have been either rebuilt or so much repaired that their ancient character can no longer be traced; but many of them were standing within living memory. They were in general two ...
— The History of England from the Accession of James II. - Volume 3 (of 5) • Thomas Babington Macaulay
... I consists of only half an ellipse, the southern half being replaced by the area H, which we have already described. It has a rectangular niche to the west containing a fine trilithon with a cover-slab ...
— Rough Stone Monuments and Their Builders • T. Eric Peet
... The summit or highest level of it is in the southwest; longest diameter is from northwest to southeast. From Crossen, whither Friedrich is now driving, to the Jablunka Pass, which issues upon Hungary, is above 250 miles; the AXIS, therefore, or longest diameter, of our Ellipse we may call 230 English miles;—its shortest or conjugate diameter, from Friedland in Bohemia (Wallenstein's old Friedland), by Breslau across the Oder to the Polish Frontier, is about 100. The total area of Schlesien is counted ...
— History of Friedrich II. of Prussia, Vol. XII. (of XXI.) • Thomas Carlyle
... each, and reveals the demand for a special training. This divergence, however, is limited in its sweep and its duration. The difference exists for a definite purpose, and goes only to a definite extent. The curves of separation swell out as childhood recedes, like an ellipse, and, as old age draws on, approach, till they unite like an ellipse again. In old age, the second childhood, the difference of sex becomes of as little note as it was during the first. At that period, the ...
— Sex in Education - or, A Fair Chance for Girls • Edward H. Clarke
... territorial flag is dark blue with a narrow red border on all four sides; centered is a red-bordered, pointed, vertical ellipse containing a beach scene, outrigger canoe with sail, and a palm tree with the word GUAM superimposed in bold red letters; US flag is ...
— The 2000 CIA World Factbook • United States. Central Intelligence Agency.
... houses, and two chapels or churches. Four great towers were erected at the cardinal points, and the vast galleries and arcades were a very warren of human habitations. Constructed of huge blocks of limestone, laid without cement, the amphitheatre forms an ellipse, whose axis measures four hundred and twenty feet by three hundred and ten feet. It is said to be able to contain twenty-six thousand spectators, which is just two thousand five hundred more persons than the entire ...
— In Troubadour-Land - A Ramble in Provence and Languedoc • S. Baring-Gould
... had become an oval, a flattened ellipse another five hundred feet high and three times that in length. And in its exact center, shining forth as though it opened into a place of pale azure incandescence was another ...
— The Metal Monster • A. Merritt
... the plane, sections of a cone. It is an oval curve, which may be drawn by fixing two pins in a sheet of paper at S and H, fastening a string, SPH, to the two pins, and stretching it with a pencil point at P, and moving the pencil point, while the string is kept taut, to trace the oval ellipse, APB. S and H are the foci. Kepler found the sun to be in one focus, say S. AB is the major axis. DE is the minor axis. C is the centre. The direction of AB is the line of apses. The ratio of CS to CA is the excentricity. The position of the planet at A is the perihelion (nearest ...
— History of Astronomy • George Forbes
... in the cave (Number 3) was an ellipse, three feet in length and one foot ten inches in breadth: the outside line of this painting was of a deep blue colour, the body of the ellipse being of a bright yellow dotted over with red lines and spots, whilst across it ran two transverse lines ...
— Journals Of Two Expeditions Of Discovery In North-West And Western Australia, Vol. 1 (of 2) • George Grey
... on a drawing board by the pen. There is no limit, theoretically, to the number of pendulums that can be combined in this manner. The movements are rectilinear, but two rectilinear vibrations of equal amplitude acting at right angles to each other generate a circle if they alternate precisely, an ellipse if the alternations are less regular or the amplitudes unequal. A cyclic vibration may also be obtained from a pendulum free to swing in a rotary path. In these ways a most wonderful series of drawings have been obtained, and the similarity of these ...
— Thought-Forms • Annie Besant
... proving, that, if a body in space, free to move, received a single impulse, and at the same moment was attracted to a fixed centre by a force which diminished as the square of the distance at which it operated increased, such a body, thus deflected from its rectilinear path, would describe an ellipse," etc. Not only does this deduction, being made ...
— Atlantic Monthly Vol. 6, No. 33, July, 1860 • Various
... one direction; and the hyperbolic curve, that never returns into itself at all, but has, on the other hand, a course which sets outwards each way for ever. The parabolic curve, as it is called, is a line partaking of the closeness of the ellipse on the one hand, and the openness of the hyperbola on the other. A parabola is an ellipse passing into a hyperbola; or, in other words, it is a part of an ellipse whose length, compared with its breadth, is too great to ...
— Chambers's Edinburgh Journal, No. 450 - Volume 18, New Series, August 14, 1852 • Various
... be really shown by examples, just because it is continuous and periodic. If we except the speeches, each of which by the necessity of the case is more or less a definite and detachable unit, the periods flow into one another. Like the orbit of a planet, the movement of the verse never closes its ellipse and begins again. Each of the twelve books is a single organic rhythmical structure. But one cannot very well ...
— The Principles of English Versification • Paull Franklin Baum
... engineer, laughing, "whether just or not, we must submit to it, and here lies the reason for this peculiarity. The earth does not describe a circle round the sun, but an ellipse, as it must by the laws of rational mechanics. Now, the earth occupies one of the centres of the ellipse, and consequently, at the time of its transfer, it is further from the sun, that is to say, at its apogee, and at another time nearer, that is to say, at its perigee. Now ...
— The Secret of the Island • W.H.G. Kingston (translation from Jules Verne)
... ingenious machine, specially devised for the purpose, Professor Marey found that a bird's wing moves in an ellipse, with a pointed summit (Fig. 10). The insect beats the air in a distinctly horizontal plane, but the bird in a vertical plane. The wing of an insect is impervious to the air; while the bird's wing resists the air only on its under side. Hence, there are two sorts of effects; in ...
— Our Common Insects - A Popular Account of the Insects of Our Fields, Forests, - Gardens and Houses • Alpheus Spring Packard
... this spot, where still may be seen a mound and an ellipse showing the outline of the stockade, is the famous Pilot Knob, from the summit of which the fields surrounding the town lie visible in their smooth expanse. During Findlay's stay at the Indian town other traders from Pennsylvania and ...
— The Conquest of the Old Southwest • Archibald Henderson
... ultimate matter is reduced to that of an oblate spheroid described by the revolution of an ellipse on its ...
— Defenders of Democracy • The Militia of Mercy
... figure. This is again found on the body of the snake in Plate LX, and in other places. Other important questions can be settled by comparison of the two plates. For example, at Palenque we often find a sign composed of a half ellipse, inside of which bars are drawn. I shall elsewhere show that there is reason to believe the ellipse is to represent the concave of the sky, its diameter to be the level earth, and in some cases at least the bars to be the descending and fertilizing rain. The bars are ...
— Studies in Central American Picture-Writing • Edward S. Holden
... other are so courteous and restrained. In alternate curves and graceful sallies, they pursue and circumvent each other. First one hops a few feet, then the other, each one standing erect in true military style while his fellow passes him and describes the segment of an ellipse about him, both uttering the while a fine complacent warble in a high but suppressed key. Are they lovers or enemies? the beholder wonders, until they make a spring and are beak to beak in the twinkling of an eye, and perhaps mount a few feet into the air, but rarely actually delivering blows ...
— The Writings of John Burroughs • John Burroughs
... attraction on the planets next to it. If these bodies did not attract one another at all, but only moved under the influence of the sun, they would move in orbits having the form of ellipses. They are found to move very nearly in such orbits, only the actual path deviates from an ellipse, now in one direction and then in another, and it slowly changes its position from year to year. These deviations are due to the pull of the other planets, and by measuring the deviations we can determine the amount of the pull, and hence ...
— Side-lights on Astronomy and Kindred Fields of Popular Science • Simon Newcomb
... unwilling to take much aye doth heed'; 'which is nonsense' says Prof. Skeat. But the sentence is an example of ellipse, a figure which Chatterton affected a good deal, and fully expressed would run 'She—not willing to take much, ever doth heed not to take much', which would of course be ...
— The Rowley Poems • Thomas Chatterton
... angry disdain in Layroh's resonant voice. "They who slumber here are a race born far from this planet. They are the Shining Ones of Rikor. Rikor is a tiny planet circling a wandering sun whose orbit is an ellipse so vast that only once in a hundred thousand years does it approach your solar system. Rikor's sun was nearly dead and the Shining Ones had to find a new home soon or else perish. Then their planet swung near the Earth, and their scouts ...
— The Cavern of the Shining Ones • Hal K. Wells
... proportionality of the areas to the times of their description, Newton inferred that the force which keeps a planet in its orbit is always directed to the sun. From the first law of Kepler, that every planet moves in an ellipse with the sun in one of its foci, he drew the still more general inference that the force by which the planet moves round that focus varies inversely as the square of its distance from the focus. From the third law of Kepler, which connects the distances and periods of the planets by ...
— The World's Greatest Books, Vol IX. • Edited by Arthur Mee and J.A. Hammerton
... an orbit that will get us out of the asteroid belt without any collisions, take us as close to the sun as possible without having it capture us, and land us in space about ten thousand miles from earth. From then on I'll throw the asteroid into a braking ellipse around the earth and I'll be able to ...
— Rip Foster Rides the Gray Planet • Blake Savage
... watch, and this, I think, was Jervis's opinion. But the small part which remains of the original edge furnishes proof in two respects that this was not a watch-glass. In the first place, on taking a careful tracing of this piece of the edge, I found that its curve was part of an ellipse; but watch-glasses, nowadays, are invariably circular. In the second place, watch-glasses are ground on the edge to a single bevel to snap into the bezel or frame; but the edge of this object was ground to a double bevel, like the edge of a ...
— The Mystery of 31 New Inn • R. Austin Freeman
... nearly circular walled-plain, 111 miles in diameter, situated close to the N.W. limb, and consequently always foreshortened into a more or less elongated ellipse. But for this it would be one of the grandest objects in the first quadrant. Under the designation of "Mercurius Falsus" it received great attention from Schroter, who gives several representations of it in his Selenotopographische Fragmente, which, though drawn in his ...
— The Moon - A Full Description and Map of its Principal Physical Features • Thomas Gwyn Elger
... in wonder, and presently, at the distance, perhaps, of a little less than a mile, descried an innumerable herd of horses streaming across these level pastures, and at the extremity, it seemed, of a wide ellipse, that had brought them near, and ...
— Henry Brocken - His Travels and Adventures in the Rich, Strange, Scarce-Imaginable Regions of Romance • Walter J. de la Mare
... movement which is developed taxes the computing genius of the ablest astronomer. The path which our earth follows around the sun, though it may in general and for convenience be described as a variable ellipse, is, in fact, a line of such complication that if we should essay a diagram of it on the scale of this page it would not be possible to represent any considerable part of its deviations. These, in fact, would elude depiction, even if the draughtsman had a sheet for his ...
— Outlines of the Earth's History - A Popular Study in Physiography • Nathaniel Southgate Shaler
... a circle with a single centre; he is an ellipse with a double focus. Facts form one of these, and ideas ...
— Les Miserables - Complete in Five Volumes • Victor Hugo
... second, not altogether insignificant, use of these words and distinctions, we sometimes find in the examination of a literary composition such remarks as follow: here is a pleonasm, here an ellipse, there a metaphor, here again a synonym or an equivoke. This means that in one place is an error consisting of using a larger number of words than is necessary (pleonasm); that in another the error arises from too few having been used (ellipse), elsewhere from the use of an unsuitable ...
— Aesthetic as Science of Expression and General Linguistic • Benedetto Croce
... of their mystical affinity is what haunts you as you make your round of the vast ellipse, with the well-groomed men about you and the well-groomed horses ...
— Henry James, Jr. • William Dean Howells
... declarations,—again and again I ask:- What am I to substitute? What other sense is conceivable that does not destroy the doctrine which it professes to interpret—that does not convert it into its own negative? As if a geometrician should name a sugar- loaf an ellipse, adding—"By which term I here mean a cone;"—and then justify the misnomer on the pretext that the ellipse is among the conic sections! And yet—notwithstanding the repugnancy of the doctrine, in its unqualified sense, ...
— Confessions of an Inquiring Spirit etc. • by Samuel Taylor Coleridge
... a sun in a group of seventeen suns, is it not? The gravitational field about even two suns is so exceedingly complex that a planet could take up an orbit only such that one sun was at each of the two foci of the ellipse of its orbit, and then only provided the suns were of very nearly the same mass, and stationary, which in turn means they must have no attraction for each other. No, I think his complex system of seventeen suns would not be so good for planets. Celestial Mechanics ...
— Skylark Three • Edward Elmer Smith
... in plan, are built side by side in two parallel lines, which are connected at the ends by other kilns so as to make a complete circuit. The original form of the complete series was elliptical in plan, but the tendency in recent years has been to flatten the sides of the ellipse and bring them together, thus giving two parallel rows joined at the ends by a chamber or passage at right angles. Coal or gas is burnt in the chamber or section that is being fired-up, the air necessary for the combustion being heated on its passage through the kilns ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3 - "Brescia" to "Bulgaria" • Various
... equilibrium under the joint action of these two forces, and which is such as would have been assumed by a fluid body actuated by them. The figure that fulfils these conditions is an oblate spheroid, the axis of the generating ellipse coinciding with the polar diameter of the body. Had the earth a figure absolutely spherical, or less flattened than is consistent with the conditions of equilibrium, the ocean, by which so large a part of its surface is covered, would have arranged itself in a meniscoid zone around its ...
— The American Quarterly Review, No. 17, March 1831 • Various
... proper care in the formation of the lens: "It can be shown upon mathematical data that a lens similar to that given in the following diagram—one surface of which is a section of an ellipse, and the other of a circle struck from the furthest of the two foci ...
— American Handbook of the Daguerrotype • Samuel D. Humphrey
... air was very clear, the temperature very low; when the sun appeared above the horizon it appeared like an elongated ellipse; its horizontal diameter appeared, in consequence of refraction, to be double its vertical diameter. It sent forth its clear, cold rays over the vast icy plain. This return to light, if not ...
— The Voyages and Adventures of Captain Hatteras • Jules Verne
... officers in all riding in this race. The race course was a large three-mile ring of the form of an ellipse in front of the pavilion. On this course nine obstacles had been arranged: the stream, a big and solid barrier five feet high, just before the pavilion, a dry ditch, a ditch full of water, a precipitous slope, an Irish barricade (one of the most difficult obstacles, ...
— Anna Karenina • Leo Tolstoy
... in charge by the scouts, with Jupiter for their chief, and are forced to accompany the fleet, but not all are impressed. If a strange comet undertakes to run across Jupiter's bows the latter brings it to, and makes prize of it by throwing it into a relatively small ellipse with the sun for its focus. Thenceforth, unless, as happened to the unhappy comet of Lexell, it encounters Jupiter again in such a way as to be diverted by him into a more distant orbit, it can never get away. About thirty comets are now known to have thus been captured ...
— Curiosities of the Sky • Garrett Serviss
... a formula of mathematics, to which the neophyte can refer for deductions of Grace to suit any premises or conditions. This, of course, is contrary to the spirit of beautiful design; and the ingenious Hay,—who maintains that his "composite ellipse" is capable of universal application in the arts of ornamental composition, and that by its use any desirable lines in mouldings or vases can be mechanically produced, especially Greek lines, falls into ...
— Atlantic Monthly, Vol. 7, No. 44, June, 1861 • Various
... each living creature lifting up its voice in protest against the sudden disturbance of its hitherto even and well-ordered life. At the end of the field, opposite the gate, a rocky and uneven road, in the shape of an ellipse, served as the race track. A grand-stand, formed by nature from a grassy knoll, covered with sweet-smelling pines, rose at one side, and made a convenient and delightful ...
— Treasure Valley • Marian Keith
... years a satisfactory explanation was sought unsuccessfully by Bradley and his fellow-astronomers, but at last he was able to demonstrate that the stary Draconis, on which he was making his observations, described, or appeared to describe, a small ellipse. If this observation was correct, it afforded a means of computing the aberration of any star at all times. The explanation of the physical cause of this aberration, as Bradley thought, and afterwards demonstrated, was the result of the combination of the motion of light with the ...
— A History of Science, Volume 3(of 5) • Henry Smith Williams
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