[W]hereas Nature, in propriety of Speech, doth not admit more than Three (Local) Dimensions, (Length, Breadth and Thickness, in Lines, Surfaces and Solids;) it may justly seem improper to talk of a Solid (of three Dimensions) drawn into a Fourth, Fifth, Sixth, or further Dimension. A Line drawn into a Line, shall make a Plane or Surface; this drawn into a Line, shall make a Solid. But if this Solid be drawn into a Line, or this Plane into a Plane, what shall it make? A Plano-plane? This is a Monster in Nature, and less possible than a Chimera or a Centaure. For Length, Breadth and Thickness, take up the whole of Space. (John Wallis)

[W]hereas Nature, in propriety of Speech, doth not admit more than Three (Local) Dimensions, (Length, Breadth and Thickness, in Lines, Surfaces and Solids;) it may justly seem improper to talk of a Solid (of three Dimensions) drawn into a Fourth, Fifth, Sixth, or further Dimension. A Line drawn into a Line, shall make a Plane or Surface; this drawn into a Line, shall make a Solid. But if this Solid be drawn into a Line, or this Plane into a Plane, what shall it make? A Plano-plane? This is a Monster in Nature, and less possible than a Chimera or a Centaure. For Length, Breadth and Thickness, take up the whole of Space.

John Wallis

Related topics

chimera dimension draw length less line monster nature plane possible propriety space speech surface take talk three

Related quotes

To say that a thing is imaginary is not to dispose of it in the realm of mind, for the imagination, or the image making faculty, is a very important part of our mental functioning. An image formed by the imagination is a reality from the point of view of psychology; it is quite true that it has no physical existence, but are we going to limit reality to that which is material? We shall be far out of our reckoning if we do, for mental images are potent things, and although they do not actually exist on the physical plane, they influence it far more than most people suspect. View quote
Dion Fortune
It was only in the sixth century, after the Emperor Justinian proclaimed that reincarnation was no longer acceptable and would be considered a heretic doctrine, that Christians began to denounce it. The writings of earlier Christians such as Saint Jerome in the fourth century explain that reincarnation was considered an esoteric doctrine that should be understood and defended by Christian philosophy. In the second century, Origen discussed themes of reincarnation in his book titled On First Principles, which is still available in the library today. As we research different scriptures, we can still find hints of reincarnation in all of them. View quote
Bhakti Tirtha Swami
And he waves the pages of the papers, black and white the way space was when the galaxies were being formed, and crammed-as space was then-with isolated corpuscles, surrounded by emptiness, containing no destination or meaning. And I think how beautiful it was then, through that void, to draw lines and parabolas, pick out the precise point, the intersection between space and time where the event would spring forth, undeniable in the prominence of its glow; whereas now events come flowing down without interruption, like cement being poured, one column next to the other, one within the other, separated by black and incongruous headlines.... View quote
Italo Calvino
Treat nature in terms of the cylinder, the sphere, and the cone, the whole put into perspective so that each side of an object, or of a plane, leads towards a central point. Lines parallel to the horizon give breadth, whether a sections of nature, or, if you prefer, of the spectacle which Pater omnipotens aeterne Deus unfolds before your eyes. Lines perpendicular to this horizon give depth... Everything I am telling you [ Joachim Gasquet ] about - the sphere, the cone, cylinder, concave shadow – on mornings when I'm tired these notions of mine get me going, they stimulate me, I soon forget them once I start using my eyes. View quote
Paul Cézanne
Some months ago I took the liberty of troubling you for a reference to Laplace. In your reply for which it still remains to me to thank you, you were pleased to express an interest in the subject of investigation alluded to in my letter. I have now drawn up a paper embodying the principal results of the inquiry which I have had some thoughts of laying before the Royal Society. Before taking a step of this nature I am however anxious to have the opinion of a more competent judge as to its propriety. Knowing that you have written much on kindred subjects, shall I presume too far on your courtesy in applying to you a second time? View quote
George Boole