The original parabolic paths of these comets were then changed into ellipses by the backward pull of a planet, whose sphere of attraction they chanced to enter when approaching the sun from outer space.
In most instances, comets move in space, about the sun, in ellipses so very lengthened, that their paths seem to be parabolas as long as the cloudy bodies are visible in the sky.
While the uppermost figure in Plate 65 represents, in parallel perspective, a series of ellipses arranged in radiation on a circle, their exact relative size and position are shown in Fig.
The ellipsesof the planets have been and always will be nearly circular.
The orbits of comets are ellipsesthat are greatly elongated or parabolas.
The comets have orbits that are usually very elongated ellipses or parabolas.
The paths of all the planets around the sun are ellipses that are nearly circular, and they all lie nearly in the same plane.
Moreover, its speed at these two points in its orbit varies tremendously since the orbits of comets are ellipses of very high eccentricity.
The planets move in ellipses with the sun at one focus.
The common workaday world, with accessories of tin pots and pans, corduroy breeches and clay-pipes, can be only depicted by a series of ellipses through a mystery of light and shade.
The orbits of the planetesimals and the planetary and satellite nuclei would be very eccentric, forming a confusion of ellipses with frequently crossing paths.
The motions of the planets in the undisturbed ellipses of Kepler must be impossible.
Their orbits have ever since been ellipses with their aphelia in groups corresponding to the distances of the planets concerned.
If the intensity declined equally in all directions the isoseismals would be circles, but as this is rarely if ever the case in nature they usually become ellipses and other closed curves.
In the ancient astronomy the ellipses in which it is now known that the planets revolve around the sun could not be distinguished from circles, but the unequal angular motion due to ellipticity was observed.
Its cost, however, is prohibitive where only few ellipses are to be drawn, but a person handy with tools can make an apparatus that will do the work as well as the most expensive instrument.
Homemade Ellipsograph By Chelsea Curtis Fraser An efficient ellipsograph is the only device that will make true ellipses of various sizes quickly, and such a machine is in demand on some classes of work in a drafting room.
This point indicates the center of all ellipsesto be drawn.
C and D being the fixed centres of the two ellipses in contact at P.
If then B and D are taken as fixed centres, and the ellipses turn about them as shown by the arrows, X and Y will come together at Z on the line of centres; and the same is true of any points equally distant from P on the two curves.
Then A Y = D X, and B Y = C X, and because the ellipses are alike, the arcs P Y and P X are equal.
His first law states that the planets describe ellipses with the sun at a focus of each ellipse.
Very simple apparatus is needed for the drawing of one of those ellipses which Kepler has shown to possess such astonishing astronomical significance.
We have already seen how that great philosopher, after very persevering labour, succeeded in proving that the orbits of the planets were not circles, but that they were ellipses of small eccentricity.
The orbit of a great planet is, in general, one of those ellipseswhich approaches a nearly circular form.
So, too, we had observed for some centuries the forms of the orbits in which the heavenly bodies move, and we had found these to be ellipses with a very small eccentricity.
Comets which move in ellipses of known eccentricity and return with periodical regularity may be regarded as belonging to the solar system.
Besides those already mentioned there are many comets with orbits of such marked eccentricity that their ellipses when near perihelion cannot be distinguished from parabolæ.
Small apparent ellipses described by the stars as a result of the annual displacement of the Earth.
Nearly a quarter of a century ago, I saw her, all through the month of July, cutting out her rounds and ellipses at the expense of the petals of the Pelargonium zonale, the common geranium.
What model has the Megachile when cutting her neat ellipses out of the delicate material for her wallets, the robinia-leaves?
Again, the same loop was used for ellipses B in both figures, as also for C and D.
It is not, however, always necessary to cut teeth all round these wheels, as will be seen by an examination of Figure 256, C and D being the fixed centres of the two ellipses in contact at P.
In Figures 76 and 77 are a series of ellipses marked with pins and a piece of twine, as already described.
How shall we interpret the marks indicating the three ellipsesin the above sentence?
It should be noted that ellipses from quotations are of only such matter as can be omitted without affecting the sense of the language quoted.
Various ellipses are illustrated in the following sentences:-- 1.
Two meteors will move around the sun in the same time if the lengths of their ellipses are exactly equal, but not otherwise.
The circumstance that the major axes of all those ellipses are of equal length suggests a still further simplification.
The difficulty in the process arises from the fact that these ellipses are so small that our micrometers often fail to detect them.
We can have large and small ellipses just as we can have large and small circles, but we can also have ellipses of greater or less eccentricity.
It can further be demonstrated that these ellipses are really circles parallel to the ecliptic; so that we might hastily assume that annual parallax was the cause of the phenomenon discovered by Bradley.
Let us suppose that a series of ellipses are drawn, each of which has a greater distance between its foci than the preceding one.
How shall we adequately describe the extreme minuteness of the parallacticellipses in the case of even the nearest stars?
It was shown that with the smaller ellipses it would be impossible to obtain a displacement even one-half of that which was observed.
The lengths of these ellipses are many hundreds of millions of miles, and it is impossible that they can be all absolutely equal.
The difference in the sizes of the ellipses arises from the different distances of the stars from the earth.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "ellipses" in a variety of sentences. We hope that you will now be able to make sentences using this word.
