Quotes About Geometry

The usefulness of mathematics allows us to build spaceships and investigate the geometry of our universe. Numbers may be our first means of communication with intelligent alien races. Some physicists have even speculated that an understanding of higher dimensions and of topology-the study of shapes and their interrelationships-may someday allow us to escape our universe, when it ends in either great heat or cold, and then we could call all of space-time our home.

By refraining from reducing multiplication to addition we are enabled through these axioms to banish continuity, which is so difficult to fix precisely, from the logical structure of geometry.

Or, we may use Cartesian co-ordinate systems from the outset:

Two possibilities present themselves for the analytical treatment of metrical geometry.

the problem is then to develop a theory of invariance with respect to arbitrary linear transformations, in which, however, in contra-distinction to the case of affine geometry, we have a definite invariant quadratic form, viz. the metrical groundform once and for all as an absolute datum.

We must here follow the first course so as to be able to pass on later to generalisations which extend beyond the limits of Euclidean geometry.

when placed in two positions successively, realises this idea of the equality of two portions of space ; by a rigid body we mean one which, however it be moved or treated, can always be made to appear the same to us as before, if we take up the appropriate position with respect to it. I shall

A multitude of bees can tell the time of day, calculate the geometry of the sun's position, argue about the best location for the next swarm. Bees do a lot of close observing of other bees maybe they know what follows stinging and do it anyway.

If you have ever studied geometry, you remember that by a course of reasoning Euclid proves that all the angles in a triangle are equal to the two right angles. Euclid has shown how to work it out. Now, if you undertake to disprove that proposition, and to show that it is erroneus, would you prove it to be false by calling Euclid a liar?

Creating a body of mathematics is about intellectual labor, not some kind of transcendental revelation. There are plenty of important components of European fractal geometry that are missing from the African version.

Deborah and I went in past a sculpture that looked like a geometry lesson having sex in a hardware bin and we walked straight to the back, where a door announced, DR. J. LONOFF, DDS: COSMETIC DENTISTRY.

This love triangle had reached new heights, and as much as Matt loved geometry, this was not the sort of triangle he wanted anything to do with.

The early study of Euclid made me a hater of geometry.

For polyatomic free radicals and ions, one is dependent both for the ground states and the excited states on the study of electronic spectra to obtain the shapes and the geometrical parameters.

In terms of individuals who actually inspired me, very few of the academic people that I had access to had that power over me. Maybe it's simply because I wasn't that committed to geometry.

Old Euclid drew a circle On a sand-beach long ago. He bounded and enclosed it With angles thus and so. His set of solemn greybeards Nodded and argued much Of arc and circumference, Diameter and such. A silent child stood by them From morning until noon Because they drew such charming Round pictures of the moon.

Frost grows on the window glass, forming whorl patterns of lovely translucent geometry. Breathe on the glass, and you give frost more ammunition. Now it can build castles and cities and whole ice continents with your breath's vapor. In a few blinks you can almost see the winter fairies moving in . . . But first, you hear the crackle of their wings.

...the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely aesthetic feeling, which all mathematicians know

If they would, for Example, praise the Beauty of a Woman, or any other Animal, they describe it by Rhombs, Circles, Parallelograms, Ellipses, and other geometrical terms.

The body of Saint Mark, supposedly preserved in the basilica was the central point of the configuration between the ducal palace, the market, and the Arsenal. This was the sacred geometry of Venetian power.

You know the theorem of Pythagoras?" "The square of the hypotenuse is equal to the sum of the squares of the other two sides." "That's exactly it. And is that true for every example you've tried?" "Yes.

One or two factoids. Plato, né Aristocles, is c. 427–347 BCE; Aristotle is 384–322 BCE (compare Socrates at c. 470–399 and Zeno at c. 490–435). Aristotle was a former star pupil in Plato's Academy, the motto over the front door of which happened to be LET NO ONE WHO IS IGNORANT OF GEOMETRY ENTER HERE. 18

i've heard this called st. peter's square, arlene said. but it isn't square. it's oval.

Almost everything looks the same at art fairs - very hygienic, very white, lots of right angles.