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Updated: June 19, 2025
The equal division of numbers or physical magnitudes is doubtless closely entwined with our perceptions of justice; there are few associations which keep their ground in the mind so stubbornly or are dismissed from it with such difficulty by the deepest thinkers.
He also discovered the chords in music, which led him to conceive that the planets, striking upon the ether through which they move in their celestial orbits; produce harmonious sounds, varying according to the differences of the magnitudes, velocities, and relative distances of the planets, in a manner corresponding to the proportion of the notes in a musical scale.
Of course we shall be able to realise this, according as we realise life. If we have a heart for the magnitudes of life, it will not seem vain to believe that God Himself should guard it. If we keep looking to the hills, God shall be very clear upon them as our Keeper. But this distant view of God upon the skyline, full as it is of discipline and of peace, does not satisfy the Psalmist.
In theta we find three components of magnitudes seven, nine, and eight respectively, distances 11.4", p. 327°, and 70", p. 227°. A wide double is epsilon, magnitudes six and eight, distance 92", p. 81°. Nebula No. 4572 is planetary. Turning to Delphinus, we find a very beautiful double in gamma, magnitudes four and five, distance 11", p. 273°, colors golden and emerald.
There is strong reason, based on the appearance of the stars of the Milky Way, their physical constitution, and their magnitudes as seen in the telescope, to believe that, were we placed on one of these stars, we should find the stars around us to be more thickly strewn than they are around our system.
If, finally, TIME be assumed as the exponent of the dreadful magnitudes, time combining itself with motion, as in the flight of cannon-balls or the flight of swallows, the sublimity becomes greater; but horror seizes upon the reflecting intellect, and incredulity upon the irreflective.
The variables T and R are of little interest to us, for they never become bright enough to be seen without the aid of a telescope. In 54 we find, however, an interesting double, which with larger telescopes than any of ours appears as a triple. The two stars that we see are of magnitudes six and seven and a half, distance 45", p. 42°, colors yellow and blue.
All perfections in the universe are united in God. God and nature are two magnitudes which are quite alike. The whole sum of harmonic activity which exists together in the divine substance, is in nature the antitype of this substance, united to incalculable degrees, and measures, and steps. If I may be allowed this expressive imagery, nature is an infinitely divided God.
Human nature being what it is, and de Maupassant being tinged with eroticism, his work is sure to be read with interest by mankind; but he is already classed. Nobody, now, despite all his brilliant excellences, would dream of putting de Maupassant with the first magnitudes. And the declension of Flaubert is one of the outstanding phenomena of modern French criticism.
Therefore geometry is founded in mechanical practice, and is nothing but that part of universal mechanics which accurately proposes and demonstrates the art of measuring. But since the manual arts are chiefly conversant in the moving of bodies, it comes to pass that geometry is commonly referred to their magnitudes, and mechanics to their motion.
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