Scientific romancesSonnenschein & Company, 1884 |
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action æther amongst apathy ARDVA attraction bearing become block of cubes body C. H. HINTON cause centre CHARLES HOWARD HINTON child conceive conductor conservation of energy creature Diagram direction disk displacement distance electricity energy existence fact feeling figure form of heat four-dimensional fourth dimension fundamental cube idea image twist imagination infinite plane infinite series inhabitants JAMES SULLY kind king knowledge look looking-glass masses ment metropolis mind motion move movement names nature objects pain-bearing power paper particles of matter passing PATERNOSTER SQUARE plane world pleasure and pain poker position possible produced rays real image regard represent round routine SCIENTIFIC ROMANCES set of cubes shape side silk electricity simple solid straight line supposition surface SWAN SONNENSCHEIN thee things thou thought threads three-dimensional space tion turned ultimate medium valley vibrations vis viva W. F. KIRBY whole wire zinc
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Página 26 - Were such a thought adopted, we should have to imagine some stupendous whole, wherein all that has ever come into being or will come co-exists, which passing slowly on, leaves in this flickering consciousness of ours, limited to a narrow space and a single moment, a tumultuous record of changes and vicissitudes that are but to us.
Página 226 - SYLLABUS OF PLANE GEOMETRY (corresponding to Euclid, Books I.-VI.}— Prepared by the Association for the Improvement of Geometrical Teaching.
Página 158 - A short treatise of admirable clearness. . . . Mr. Hinton brings us, panting but delighted, to at least a momentary faith in the Fourth Dimension, and upon the eye of this faith there opens a vista of interesting problems. . . . His pamphlet exhibits a boldness of speculation, and a power of conceiving and expressing even the inconceivable which rouses one's faculties like a tonic.
Página 168 - To realize what this would mean we must conceive that in our world there were to be for each man somewhere a counterman, a presentment of himself, a real counterfeit, outwardly fashioned like himself, but with his right hand opposite his original's right hand. Exactly like the image of the man in a mirror. "And then when the man and his counterfeit meet, a sudden whirl, a blaze, a little steam, and the two human beings, having mutually unwound each other, leave nothing but a residuum of formless...
Página 3 - Prodromus dissertationum cosmographicarum , continens mysterium cosmographicum de admirabili proportione orbium coelestium: deque causis coelorum numeri, magnitudinis , motuumque periodicorum genuinis et propriis, demonstratum per quinque regularia corpora geometrica a M.
Página 27 - All that we can say in regard to the possibility of such beings is, that we have no experience of motion in four directions. The powers of such beings and their experience would be ampler, but there would be no fundamental difference in the laws of force and motion. Such a being would be able to make but a part of himself visible to us, for a cube would be apprehended by a two-dimensional being as the square in which it stood. Thus a four-dimensional being would suddenly appear as a complete and...
Página 20 - So if there were four-dimensional objects, we should only know them as solids — the solids, namely, in which they intersect our space. Why, then, should not the four-dimensional beings be ourselves, and our successive states the passing of them through the three-dimensional space to which our consciousness is confined ? Let us consider the question in more detail. And for the sake of simplicity transfer the problem to the case of three and two dimensions instead of four and three. Suppose a thread...
Página 21 - ... moving point. If now there were a whole system of lines sloping in different directions, but all connected together, and held absolutely still by one framework, and if this framework with its system of lines were as a whole to pass slowly through the fluid plane at right angles to it, there would then be the appearance of a multitude of moving points in the plane, equal in number to the number of straight lines in the system.
Página 27 - Such a being would be able to make but a part of himself visible to us. He would suddenly appear as a complete and finite body, and as suddenly disappear, leaving no trace of himself in space. There would be no barrier, no confinement of our devising that would not be perfectly open to him. He would come and go at pleasure ; he would be able to perform feats of the most surprising kind.
Página 15 - ... a being in three dimensions, looking down on a square, sees each part of it extended before him, and can touch each part without having to pass through the surrounding parts, for he can go from above, while the surrounding parts surround the part he touches only in one plane. So a being in four dimensions could look at and touch every point of a solid figure. No one part would hide another, for he would look at each part from a direction which is perfectly different from any in which it is possible...