His way had therefore come full circle, or rather had taken the form of an ellipse or a spiral, following as ever no straight unbroken line, for the rectilinear belongs only to Geometry and not to Nature and Life.
Hermann HesseTag: life nature lines geometry
Be honest: did you actually read [the above geometric proof]? Of course not. Who would want to?
The effect of such a production being made over something so simple is to make people doubt their own intuition. Calling into question the obvious by insisting that it be 'rigorously proved' ... is to say to a student 'Your feelings and ideas are suspect. You need to think and speak our way.
Tag: intuition math mathematics geometry
V geometrickém světě, jehož objev byl umožněn onou pozoruhodnou schopností proniknout skrze čtverec nakreslený v písku ke čtverci geometrickému, nalezla řecká antika místo, v němž se nachází pravda v ničím nezastřené podobě.
Petr VopěnkaTag: insight math greek geometry
Gosta da música, que é a mesma coisa que ouvir geometria
Afonso CruzIs everyone with one face called a Milo?"
"Oh no," Milo replied; "some are called Henry or George or Robert or John or lots of other things."
"How terribly confusing," he cried. "Everything here is called exactly what it is. The triangles are called triangles, the circles are called circles, and even the same numbers have the same name. Why, can you imagine what would happen if we named all the twos Henry or George or Robert or John or lots of other things? You'd have to say Robert plus John equals four, and if the four's name were Albert, things would be hopeless."
"I never thought of it that way," Milo admitted.
"Then I suggest you begin at once," admonished the Dodecahedron from his admonishing face, "for here in Digitopolis everything is quite precise.
Tag: names mathematics geometry
To bi željela geometrizirati – sustavnu i promišljenu strukturu teksta.
Jasna HorvatA circle has no end.
Isaac AsimovTag: paradox astronomy geometry riddles
Perfect hexagonal tubes in a packed array. Bees are hard-wired to lay them down, but how does an insect know enough geometry to lay down a precise hexagon? It doesn't. It's programmed to chew up wax and spit it out while turning on its axis, and that generates a circle. Put a bunch of bees on the same surface, chewing side-by-side, and the circles abut against each other - deform each other into hexagons, which just happen to be more efficient for close packing anyway.
Peter WattsTag: nature geometry bees nature-s-grandeur
If the human mind can understand the universe, it means the human mind is fundamentally of the same order as the divine mind. If the human mind is of the same order as the divine mind, then everything that appeared rational to God as he constructed the universe, it's “geometry,” can also be made to appear rational to the human understanding, and so if we search and think hard enough, we can find a rational explanation and underpinning for everything. This is the fundamental proposition of science.
Robert ZubrinTag: science inspirational god geometry
It is well known that geometry presupposes not only the concept of space but also the first fundamental notions for constructions in space as given in advance. It only gives nominal definitions for them, while the essential means of determining them appear in the form of axioms. The relationship of these presumptions is left in the dark; one sees neither whether and in how far their connection is necessary, nor a priori whether it is possible. From Euclid to Legendre, to name the most renowned of modern writers on geometry, this darkness has been lifted neither by the mathematicians nor the philosophers who have laboured upon it.
Bernhard RiemannTag: science relationships darkness definitions philosophers space mathematics geometry euclid axioms scientist mathematician adrian-marie-legendre legendre renown
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