Such, indeed, is the case, and it is often possible to infer theorems concerning spheres from theorems concerning lines, and vice versa.
We might then expect to be able to set up a one-to-one correspondence between circles in a plane and points, or planes in space, or between spheres and lines in space.
Find the order of infinity of all the spheres in space that pass through a given point; through two given points; through three given points; through four given points.
I shall dream delight Till our souls take flight To the mysticspheres where your kinsmen reign!
Nevertheless, the chief process illustrated is still the Platonic image reproduced less and less clearly in successively more degraded spheres of being.
It is evident that his success was in inverse ratio to originality; but we can also see that he could not have held together those three spheres of interest without the momentum of a wonderful personality.
It consisted in the exact and exhaustive mastery of certain limited sections of knowledge and thought, as the gymnastic for all other spheres and toils.
At the same time as they cooled in concentric spheres like the Scot's-pebbles, they often possess faint rings of colours, and always break in conchoide forms like them.
Concentric spheres of iron nodules owing to polarity, like iron-filings arranged by a magnet.
He was playing with what had looked at first like a string of steel ball-bearings, a child's necklace, half-inch spheres linked together in a strand a yard long.
That was what Harse had called the spheres when he picked the string out of his little kit, and that was what they were.
Pop, and one of the spheres splits neatly in half, and out spills a star sapphire, as big as the ball of your finger, glittering like the muted lights of hell.
The music of the spheressurrounding the world would then presumably be the mocking laughter of all the other creatures around mankind.
Then he will not be a squanderer of his strength, in spheres where no one is grateful to him.
What false conclusions are drawn in spheres where we are not at home, even by those of us who are accustomed as men of science to draw right conclusions!
Well, Lionel had no opinion to express on this point; on a previous occasion he had wondered why these two augurs had not been content to agree, seeing that the wide Atlantic rolled between their respectivespheres of operation.
But surely, with the wide Atlantic lying between their respective spheres of operation, there was no need for rivalry?
Even in the older Shinto there are examples of the Gods exercising a providential care for mankind outside of their proper spheres of action.
But despite the anonymity of the God, people credit him with power to protect against all perils of sea and flood, against burglary, and, by a strange juxtaposition of spheres of influence, against the pains of parturition.
The bees, of course, no more knowing that they swept their spheres at one particular distance from each other, than they know what are the several angles of the hexagonal prisms and of the basal rhombic plates.
The spherespour down their various influences without discrimination in the choice of the individual upon whom they fall.
The planetary spheres partake more of the divine nature, and move more swiftly, in proportion to their distance from the earth, their centre.
The Primum Mobile, the greatest of the material spheres of the universe.
This ended, the high holy Court resounded through the spheres a "We praise God," in the melody which thereabove is sung.
Within the motionless sphere of the Empyrean revolves that of the Primum Mobile, from whose virtue, communicated to it from the Empyrean, all the inferior spheres contained within it derive their special mode of being.
The motion and the virtue of the holyspheres must needs be inspired by blessed motors, as the work of the hammer by the smith.
Thus Beatrice; and those glad souls made themselvesspheres upon fixed poles, flaming brightly in manner of comets.
It has also pervaded all spheres of Thought from physical science, (on which compare further, Additional Note I.
That, for instance, water is not two particles of oxygen side by side, but two spheres of power mutually penetrated, and the centres even coinciding.
We apply them to remote planetary and stellar spheres beyond our own reach; where our own minds can neither alter nor colour anything.
These are but typical of hundreds of men who could be named who have risen from work at the key to become recognized leaders in differing spheres of activity.
It was necessary for her to stay away from the earth for a while, because she had work in high spheres for three years, and it's difficult for her to come through.
He says it appears to him too, that the spirit spheres are built round the earth plane, and seem to revolve with it.
The eighth sphere is that of the fixed stars; and by taking up a position on the inner or concave surface of this sphere, he would see all the planetary spheres revolving within it.
Sometimes the spheres of the seven planets were reckoned backwards from Saturn, Venus being then in the fifth heaven; see Lenvoy a Scogan, 9, and the note.
We are only inquiring if those flattened spheres of native manganese had been formed by water, or if it were by fusion; for, our author agrees that there is no other way.
The spheres are veined and streaked and spotted beneath, with a dark crimson flush above, where the light falls on them, and in a certain aspect you can make out upon every one of them the three letters L, I, E.
There must be other things besides aerolites that wander from their own spheres to ours; and when we speak of celestial sweetness or beauty, we may be nearer the literal truth than we dream.
The spheres are the most convenient things in the world; they roll with the least possible impulse just where the child would have them.
We can find most of the old beliefs alive amongst us to-day, only having changed their dresses and the social spheres in which they thrive.
He had always felt dazzled, as well as attracted, by her; but now there was something in her expression and manner which made him feel still more strongly that they were intended for different spheres of life.
This anecdote may be profitably borne in mind in following Emerson into the spheres of intuition and mystical contemplation.
It does not trouble them at all to see the watery spheres that round themselves into being out of the vapors floating over us; they are nothing but raindrops.
The village would perhaps lose sight of him for a time; but he meant to emerge sooner or later in the higher spheres of government or diplomacy.
These motors are angels of various orders resident in the spheres and transmitting to them the efficacy of the Divine Intelligence.
In the second canto of Paradise, he speaks of the blessed motors who make the holy spheres revolve.
The contrast between flesh and spirit can no longer be taken literally as corresponding to a sort of physical division of the universe into spheres of good and evil which can have no commerce with one another.
To appreciate the intellectual revolution threatened, one has only to read Dante's "Divine Comedy," for Dante journeys from planet to planet and thinks of them as arranged within crystalline spheres revolving slowly about the earth.
Such spheres extend far into angelic societies in accordance with the quality and quantity of good (n.
Spheres from the evil are the opposites ofspheres from the good (n.
For with everyone these spheres flow forth from the life of his affection and consequent thought, or from the life of his love and consequent faith.
Moreover, there are spiritual spheres of life emanating from and surrounding every angel and every spirit, by which their quality in respect to the affections of their love is known, sometimes at a great distance.
The spheres that go forth from angels are so full of love as to affect the inmosts of life of those who are with them.
These spheres extend themselves far into angelic societies in accordance with the quality and quantity of their good (n.
Each of the central particles of the attraction-spheres has divided into two.
The attraction-spheres are near one side of the ovum, and are connected with its periphery by a cone of fibres forming a polar circle, p.
The attraction-spheres and achromatic spindle, although present, are not depicted in IV.
Each of the attraction-spheres has divided into two, which are joined by fibres of achromatin, and connected with the periphery of the cell in the same way as in the original or parent sphere, III.
The true Christian life moves in two spheres at once.
A dewdrop is rounded by the same laws which shape the planetary spheres or the sun himself; and Christians but half trust Christ if they do not imitate Him.
Catering to the prejudices of the ruling spheres of Russia, Witte had already endeavored to convince Alexander III.
Thus, at the end of the nineteenth century, the ruling spheres of the Russian empire proved more anti-Semitic than at the beginning of the same century, when the Government of Alexander I.
Such being the attitude towards the Jewish problem of the ruling spheres of Russia, any improvement in the situation of Russian Jewry was manifestly out of the question.
This being the attitude of the ruling spheres of Russia, it was out of the question to expect any initiative from that quarter in regard to the solution of the Jewish question.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "spheres" in a variety of sentences. We hope that you will now be able to make sentences using this word.
