How To Use Ellipse In A Sentence

They were constructed carefully, sometimes as exact circles, sometimes as partial ellipses.
(To illustrate, if the apsidal angle is 180 degrees, as in a Keplerian ellipse, then the exponent in the force law is -2, and if the apsidal angle is 90 degrees, as in an ellipse for which the force center is in the center, the exponent is +1.) Newton's Philosophiae Naturalis Principia Mathematica
An oblate spheroid is a surface of revolution obtained by rotating an ellipse about its minor axis
The image of sphericity which does not located the principal optic axis is an ellipse based on pinhole model, and the image center offsets from the projection of the sphere center.
It is made of fine twine (one-inch mesh), preferably from the bark of one of the fig-trees or the brown kurrajong, tightly stretched on two pieces of lawyer-cane each bent to form the half of an irregular ellipse. Tropic Days

There are marked temporal interruptions and ellipses between the episodes; there are edits but they are kept to a minimum.
The knifed-on ellipses stand out in slight relief against multicolored grounds of poured and squeegeed paint that sometimes imitate woodgrain or moire patterns.
Here we examine this in detail, first looking at the case of a circular toroid deformed into an ellipse.
Second, this version of the story corrects some errors in earlier versions, though it remains full of unanswered questions and strange ellipses.
The first of his laws of planetary motion asserts that planets orbit the Sun in ellipses.
There are three non-degenerate conics: the ellipse, the parabola, and the hyperbola.
From the bows of the Golden Sands they watched an ellipse of heaving-line rise from the stern and uncoil against the sky. THE MAIN CAGES
Fortunately, Ross provides in a footnote the relevant quotation from my chapter, which I've reprinted below, except with the ellipses he uses replaced with the actual text in bold.
The results of one such program, SIXTRI, suggested that the incenters of the small triangles formed by three intersecting cevians through special points, lie on an ellipse, while their circumcenters lie on a conic.
Inside a tiny front yard, a man with a Muslim's white cloth cap and a bicycle was holding a pair of scales on which reposed a silver fish, which ended in a neat pink ellipse where its head had been.
Alternatively, the struts may have the form of circles or ellipses which lie tangential to both the longitudinal profiles and to each other.
Boulliau: “The axiom that the celestial motions are circular or composed of circles must stand, and therefore I reject and repudiate his ellipses unless he should suppose them to be described by means of a Copernican or Tychonic epicycle.” (letter to Gassendi 1633) Bukiet on Brooklyn Books
But I could explain the discrepancy if the orbit were an ellipse rather than a circle.
For example, he gave an approximate formula for the area and the perimeter of an ellipse.
The ellipses serve a rhythmical function as well, indicating the ‘silence’ between phrases.
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The solutions to the equations describing the motions produced by this law are called conic sections - ellipses, hyperbolae and parabolae - which you get by intersecting a plane and a cone.
Menaechmus is famed for his discovery of the conic sections and he was the first to show that ellipses, parabolas, and hyperbolas are obtained by cutting a cone in a plane not parallel to the base.
Recently, we have measured fetal congenital cystic adenomatoid malformation volume by sonographic measurement using the formula for a prolate ellipse (length X height X width X 0.52). Bronchopulmonary sequestration and Congenital Cystic Adenomatoid
For example he shows how to deform a circle into an ellipse and proves other results on deforming conic sections.
The isoseismal 7, which includes places where the shock was strong enough to overthrow ornaments, vases, etc., is also very nearly an ellipse, whose axes are 80 and 56 miles in length, and whose area is A Study of Recent Earthquakes
Their oval-like (ellipse) motion provides the user with the feel of classic cross-country skiing, stair climbing, and walking all in combination.
In fact, the dimetric sphere is no longer represented by a circle, but is represented by an ellipse.
Direct quotations are poorly copy-edited and sometimes comprehend unmarked ellipses that alter their interpretation.
[230] The title proceeds: _Seu duae mediae proportionales inter extremas datas per circulum et per infinitas hyperbolas, vel ellipses et per quamlibet exhibitae_ .... A Budget of Paradoxes, Volume I (of II)
Ordinarily, comets are conspicuous at their perihelia, as being their shortest distances from the sun, which is the focus of their orbit, and inasmuch as a parabola is but an ellipse with its axis indefinitely produced, for some short portion of its pathway the orbit may be indifferently considered either one or the other; but in this particular case the professor was right in adopting the supposition of its being parabolic. Off on a Comet
Ellipses in phase space — curves of constant energy — then become isomorphism classes, because the oscillator motion is periodic, and for any A and B connected by a morphism, you can find another time evolution which takes B back into A. Arrow of Time FAQ
On the other hand, his style suffers from ellipses, parentheses (of which there are many), and anacolutha.
Here we examine this in detail, first looking at the case of a circular toroid deformed into an ellipse.
An ellipse is a flattened circle, and the degree of flatness is indicated by a numerical quantity called eccentricity, abbreviated e.
The _ellipse_, then, is described by these arrangements because it is a special form of the epitrochoid; and various other epitrochoids may be traced with Suardi's pen by substituting other wheels, with different numbers of teeth, for a in Fig. 43. Scientific American Supplement, No. 470, January 3, 1885
Boulliau: “The axiom that the celestial motions are circular or composed of circles must stand, and therefore I reject and repudiate his ellipses unless he should suppose them to be described by means of a Copernican or Tychonic epicycle.” (letter to Gassendi 1633) Bukiet on Brooklyn Books
Ellipses must not be used to omit relevant material; interpolations must be aids to clarity of exposition and not editorial devices; passages must not be shorn of context that would alter their meaning.
a prolate spheroid is generated by revolving an ellipse about its major axis
A number of paintings from 1963 utilize single ellipses against rectilinear backgrounds of contrasting hues.
I've tried to mark all other modifications with ellipses or brackets, but I'm sure I've made some mistakes.
The orbit of the Earth is an ellipse, not a circle, so different quarters of the orbit take different lengths of time to complete.
Now, the earth occupies one of the foci of the ellipse, and so at one point in its course is at its apogee, that is, at its farthest from the sun, and at another point it is at its perigee, or nearest to the sun. The Mysterious Island
The entrance is an ellipse made of steel cladding with curved glass panels at intervals.
The knifed-on ellipses stand out in slight relief against multicolored grounds of poured and squeegeed paint that sometimes imitate woodgrain or moire patterns.
This experience is even more pronounced in the Double Torqued Ellipses, which consist of two curving palisades nested one inside the other.
There are some odd ellipses mixed in with the re-orderings.
A circle is multi-fold, whereas an ellipse has two-fold symmetry.
Of , relating to, or having the shape of an ellipse.
Newton and Kepler left behind the tools for constructing flight paths from simple conic sections - bits of parabolas, hyperbolas, ellipses, and the ubiquitous circle - and their use is now a highly developed art.
That's a pretty significant qualifier to eliminate with ellipses.
We drew pencil ellipses; we copied the arcs made by the tops of flower vases.
Direct quotations are poorly copy-edited and sometimes comprehend unmarked ellipses that alter their interpretation.
Gap size was approximated using the formula for the area of an ellipse.
He was unable to differentiate even between the circle and the ellipse.
Add to this a method of montage favouring ellipses and assonances and one is well on the way to experiencing that giddiness which Jean Narboni has described as the essence of the ‘Godard effect’.
In nineteen fragmented chapters riddled with ellipses, the novel limns the discrete and sometimes discomforting spectrum of desire awakened by intimations of mortality.
These surface forms including sphere, ellipse and paraboloid are commonly used to design the metal wall.
There are no ellipses or brackets indicating that substantive edits have been made to the interview transcript.
In Europe, such menhirs are sometimes arranged in rows and groups or ‘alignments', while in Britain, especially, they form circles or ellipses.
Beyond establishing shots, Tarkovsky eschews their narrative correlatives, beginning the film with an opening scroll of uncertainties and ellipses.
The key elements of our total approach include measurements, models, and data, which are represented by the black squares, trapezoids, and ellipses respectively.
Mr. Lee, I could find in any clodded trifle the outlets of sky my yearning mind covets: hay fever would lead me by prismatic omissions and plunging ellipses of thought to the vaster spirals and eddies of all-viewing Mind. Shandygaff
The rate at which a planet sweeps out area within its orbital ellipse is constant.
Examples are given which illustrate how Ibrahim applied an orthogonal compression to transform a circle into an ellipse, and an oblique compression to map a hyperbola into a second hyperbola.
An ellipse has two foci, i.e. two centres, unlike the circle that has just one.
The direction in which it spins, and the size and shape of the ellipse, give me information about the strength and quality of the energy in that area.
An additional complication is that the Earth's orbit is not quite an exact circle, but an ellipse.
Samson was safely stabled, but the ghost horse, who knew no stables, was making shadowy ellipses. MR GOLIGHTLY'S HOLIDAY
In an ellipse there are two points situated upon the line representing the major axis, and which are termed the foci when both are spoken of, and a focus when one only is referred to, foci simply being the plural of focus. Mechanical Drawing Self-Taught
Well, he discovered, in the elliptical function, that the Sun was located at one of the two foci of the relevant ellipse.
the sums of the distances from the foci to any point on an ellipse is constant
The assertion that the planets move in ellipses, was but a mode of representing observed facts; it was but a colligation; while the assertion that they are drawn, or tend, towards the sun, was the statement of a new fact, inferred by induction. A System Of Logic, Ratiocinative And Inductive (Vol. 1 of 2)
He states that geostationary satellites must violate Kepler's first law, because they must have circular orbits when the first law demands that orbits be ellipses.
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There are three non-degenerate conics: the ellipse, the parabola, and the hyperbola.
To imagine their form, picture an ellipse levitating up from the floor, turning as it rises.
He described the construction of an ellipse with a string fixed at the two foci.
The directrix is used in the construction, which follows, mutatis mutandis, the same course as the above construction in the case of the ellipse.
Passing to the 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. Aesthetic as Science of Expression and General Linguistic
There was nothing to do now but ride out the rest of the trip as comfortably as possible until it was time to throw the asteroid into an ever-tightening series of elliptical orbits around earth, known as braking ellipses. Rip Foster Rides the Gray Planet
There are many topics covered in the book including a study of circles, triangles, geometric series, ellipses, parabolas and hyperbolas.
Here we examine this in detail, first looking at the case of a circular toroid deformed into an ellipse.
JUPITER V Moving more and more slowly as she approached the far point of her ellipse, Discovery soared past the orbits of Ganymede and Callisto-but they were out of range on the other side of Jupiter. Tin
Here, he swaps the comforts of delicate Feldman inflections for darker textures or veers into confrontational exchanges pocked with unhinged ellipses and omissions - enough to tweak the typically unflappable Rowe.
In the 1840s an astronomer called Urbain Le Verrier noticed there was something wrong with the orbit of Mercury. The main axis of the planet's orbital ellipse shifts each time it goes round the sun.
Both approaches would have had their merits, although he liked the first one better, because of the word ellipses.
Then it is shown that the displacement vector lies in a plane, and if the base point is translated to the origin, the endpoint traces out an ellipse.
Direct quotations are poorly copy-edited and sometimes comprehend unmarked ellipses that alter their interpretation.
Create an ellipse using elliptical shape tool.
Let us begin where we left off, with the quadratic curves known as the circle, ellipse, hyperbola and parabola.
It was shaped a bit oblong, like an ellipse with a very large major axis, almost to the point of not being a cigar.
The article analyses the method to obtain the coordinate of ellipse building, then sets forth the enforcement way of coordinate laying-out method with the intelligences total station instrument.
Abstract For multi - ellipse detection , this paper proposed a randomized fast detection approach.
In my manuscript I had his quote ending with an ellipsis, but the copy editor took out all ellipses in this section and put in periods, so I assume that it is in keeping with standard editorial practices.
He was unable to differentiate even between the circle and the ellipse.
This unique stone layer runs in an ellipse across France and is also responsible for the best Champagne, Sancerre and a slather of great German wines.
In contrast, an oval or an ellipse is longer than it is wide.
Inside the ellipse is the raised circular platform of the altar and rows of differently curved pews.
A concern to keep in mind when evaluating punctuation marks and other modifiers in digital type is unwelcome collisions and unresolved alignment between letters and brackets, braces, parentheses, quotation marks, and ellipses.
The planets move around the sun in ellipses.
When these stones form an ellipse, and have no head-covering, one must say: There is a "cromlech"; when one perceives a stone laid horizontally upon two upright stones, one is confronted by a "lichaven" or a "trilithe. Over Strand and Field
Getting the distance between an number of points and an ellipse can be solved analytically which would go down to solving a quartic equation in cos (f), with (f) the true anomaly on the ellipse. Softpedia - Windows - All
Long-period comets can have orbits ranging from eccentric ellipses to parabolas to even modest hyperbolas.
Well, he discovered, in the elliptical function, that the Sun was located at one of the two foci of the relevant ellipse.
This includes quotes, apostrophes, ellipses, em and en dashes, multiplication symbols, and ampersands.
Let us assume that, when stretched, the toroidal polymer becomes an ellipse, with equation
Yet the difference between a circle and an ellipse does not interest the topologist—it is only a matter of curvature. Euclid’s Window
The image of sphericity which does not located the principal optic axis is an ellipse based on pinhole model, and the image center offsets from the projection of the sphere center.
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It's the other conic sections that confuse me, like ellipses and hyperbolas.
Rather than initially bending the bow piece to its final semicircular shape, it is bent initially to a shape that is the long half of an ellipse.
Recently, we have measured fetal congenital cystic adenomatoid malformation volume by sonographic measurement using the formula for a prolate ellipse (length X height X width X 0.52). Bronchopulmonary sequestration and Congenital Cystic Adenomatoid
Additional liturgical areas are designed as concave spaces bulging the ellipse outwardly.
There are three non-degenerate conics: the ellipse, the parabola, and the hyperbola.
The intron size distributions were plotted as scattergrams with density ellipses for selected pairwise gene comparisons.
As our simulations show, a rouleau of flat RBCs behaves quite differently from a train of ellipses of the same size.
The shape of the zooid domain in the majority of Dictyonema colonies is highly elliptical, with the long axis of the ellipse perpendicular to the proximodistal axis of the stipe.
This includes quotes, apostrophes, ellipses, em and en dashes, multiplication symbols, and ampersands.
Use it to snap to the nearest quadrant of an arc, circle, ellipse, elliptical arc, and some 3D solids.
You depart Earth on a hyperbola, segue into an ellipse around the sun, and approach your destination on another hyperbola.
Over the course of a year the changing position of the star traced out a small ellipse.
The first law states that the orbit of a satellite is an ellipse, and that one of the foci of the ellipse must be located at the centre of the Earth.
The racecourse was a large three-mile ring of the form of an ellipse in front of the pavilion. Chapter XXV. Part II
That big ellipse is a freighter headed for the docks to pick up logs for Japan. AMBERBEACH
If the optical component to be machined is a mirror, and the object to be imaged with that mirror is located at a finite distance, the shape will be an ellipse.
a circle is an ellipse with zero eccentricity
To solve the sphere ranging problem of fixed monocular vision, the analytical formulation of ellipse center offset is deduced, and the calibration method using this formulation is proposed.
The humans in the painting reveal the geometric shapes, volume in sphere, oval, cylinder or ellipses.
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As a result, kidney-shaped items, ellipses, oblongs, S's, and flares replaced the circles, squares, and rectangles that characterised the home of the 1930s.
From that ellipse one can, in principle, determine the inclination of the planet's orbital plane.
The crown projection area and crown volume of each individual were approximated as an ellipse and an ellipsoid of revolution, respectively.
Kepler, in his work on planetary motion, had to find the area of sectors of an ellipse.
It was preluded by part of a different ballet called Ellipse, and I really liked those dances too.
Long-period comets can have orbits ranging from eccentric ellipses to parabolas to even modest hyperbolas.
As if to prove it, a Chinese water deer, dislodged from the dyke by my passage, described a long water-splashed ellipse across the field. Country diary: Claxton, Norfolk
Principal components of the matrix were calculated and used to orient the ellipse in the plane.

How To Use Ellipse In A Sentence

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