Discover the most popular and inspiring quotes and sayings on the topic of Cartesian. Share them with your friends on social media platforms like Facebook, Twitter, or your personal blogs, and let the world be inspired by their powerful messages. Here are the Top 100 Cartesian Quotes And Sayings by 92 Authors including Johannes Kepler,Kei Miller,Leah Raeder,Fernand Leger,Michael Ayrton for you to enjoy and share.
Where there is matter, there is geometry.
How much
have we not seen or felt or heard
because there was no word
for it -- at least no word we knew?
We speak to navigate ourselves
away from dark corners and we become,
each one of us, cartographers.
It looks like a parallelogram fucking an isosceles triangle, I said.
Modern man lives more and more in a preponderantly geometric order. All human creation mechanical or industrial is dependent upon geometric intentions.
About the fearful sphere which we inhabit, whose centre may be calculated and whose circumference is physically established, there spin metaphors whose centre is everywhere and whose circumference shows itself only through holes in the dark.
In geometry Anne met her Waterloo. "It's perfectly awful stuff, Marilla," she groaned. "I'm sure I'll never be able to make heads or tail of it. There is not scope for imagination in it at all.
Geometry is the rules of all mental investigation
God ever geometrizes.
I'm an artist; I'm not going to use trigonometry.
The description of right lines and circles, upon which geometry is founded, belongs to mechanics. Geometry does not teach us to draw these lines, but requires them to be drawn.
It never ceases to amaze me how adaptable social geometry can be. Within a couple of days I went from being the centre of the circle to an indefinite point outside its circumference.
We affirm depth as the only pictorial and plastic form of space.
Geometry is the archetype of the beauty of the world.
A map does not just chart, it unlocks and formulates meaning; it forms bridges between here and there, between disparate ideas that we did not know were previously connected.
In geometry, as in nature, the circle is the archetypal shape of wholeness and inclusion. It is an effective shape for nonprofits or community-focused efforts.
If a man is at once acquainted with the geometric foundation of things and with their festal splendor, his poetry is exact and his arithmetic musical.
Remote from human passions, remote even from the pitiful facts of nature, the generations have gradually created an ordered cosmos [mathematics], where pure thought can dwell in its natural home ...
Geometry is the art of correct reasoning from incorrectly drawn figures.
I happen to be a 64-year-old woman who lives in Manhattan, so on and so forth, but am I the sum total of my sort of bodily coordinates? Well, of course not.
The world is a sphere, there is no East or West.
Here, where we reach the sphere of mathematics, we are among processes which seem to some the most inhuman of all human activities and the most remote from poetry. Yet it is here that the artist has the fullest scope of his imagination.
The western mind is linear, the eastern mind is circular.
For God is like a skilfull Geometrician.
Everything is bilateral in the domain of thought. Ideas are binary. Janus is the myth of criticism and the symbol of genius. Only God is triangular!
Programming graphics in X is like finding the square root of PI using Roman numerals.
Sire, there is no royal road to geometry.
triangle of my mons,
A circle only knows its own shape. If you ask where it begins and where it ends, it will stay silent, yet unbroken.
One geometry cannot be more true than another; it can only be more convenient. Geometry is not true, it is advantageous.
The world is made of Circles
And we think in straight Lines
Visual forms are not perceived differently from colors or brightness. They are sense qualities, and the visual character of geometry consists in these sense qualities.
Cartography and geographic thinking are cool.
Maps are a way of organizing wonder.
Geometry draws the soul towards truth.
Time,- that black and narrow isthmus between two eternities.
on a map: There itMap-- Amor Towles
Height, width, and depth are the three phenomena which I must transfer into one plane to form the abstract surface of the picture, and thus to protect myself from the infinity of space.
The earth's round, like an orange, but this map is like its skin, cut off in ovals, north to south, laid flat and stretched a bit at the top and bottom. A Dutchman called Mercator invented the way to do this accurately twenty years ago. It's the first accurate world map.
A map is a song. It's different when different people sing it ... You will make this your own song, sing it your own way.
Geography is the art of the mappable.
Mapmaker mapmaker
make me a map
one to one scale,
without a single gap.
Map every rock,
every thought, every tree
and erase all the territory.
The four cardinal points are three: South and North.
We are in the interstices. In the intervals. We are that which moves between the spaces. Which conjures up the spaces.
THE BODY SHOULD be triangular, the mind circular. The triangle represents the generation of energy and is the most stable physical posture. The circle symbolizes serenity and perfection, the source of unlimited techniques. The square stands for solidity, the basis of applied control.
God Father (the Creator) geometrizes, God Mother (Nature) fractalizes.
If geography is prose, maps are iconography.
Let no one destitute of Geometry enter my doors.
Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.
Ten geographers who think the world is flat will tend to reinforce each other's errors ... Only a sailor can set them straight.
This is the only way, we say; but there are as many ways as there can be drawn radii from one center.
As you can see, visually, with your eyes.
We endeavour to employ only symmetrical figures, such as should not only be an aid to reasoning, through the sense of sight, but should also be to some extent elegant in themselves.
God is a geometrician.
...words so precisely placed that in combination with other words, also precisely placed, they carve out a shape in space and time.
A tree nowhere offers a straight line or a regular curve, but who doubts that root, trunk, boughs, and leaves embody geometry?
Frontiers are physical as well as symbolic constructions
Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.
Just as none of us is outside or beyond geography, none of us is completely free from the struggle over geography. That struggle is complex and interesting because it is not only about soldiers and cannons but also about ideas, about forms, about images and imaginings.
Reason like a sphere? What type of reasoning does a wooden sphere do?"
"The circular type, I should think. And, by coincidence, it is my favorite type as well. Perhaps that's why I'm so good at the game.
Geometry enlightlens the intellect and sets one's mind right
Geometry is knowledge of the eternally existent.
The landlady of a boarding-house is a parallelogram - that is, an oblong angular figure, which cannot be described, but which is equal to anything.
It is through geometry that one purifies the eye of the soul.
I think I'm on an angle. I'm on an oblique angle through all of existence.
If I were asked to name, in one word, the pole star round which the mathematical firmament revolves, the central idea which pervades the whole corpus of mathematical doctrine, I should point to Continuity as contained in our notions of space, and say, it is this, it is this!
Space creates shape; Shape creates space.
Algebra applies to the clouds.
I propose to construct a new chart for navigating, on which I shall delineate all the sea and lands of the Ocean in their proper positions under their bearings; and further, I propose to prepare a book, and to put down all as it were in a picture, by latitude from the equator, and western longitude.
Modern mathematics, that most astounding of intellectual creations, has projected the mind's eye through infinite time and the mind's hand into boundless space.
Our universe - it's three-dimensional, but we can pretend it's two-dimensional so it's like this sheet of paper - and we live in Pasadena over here and London is over there, and it's thousands of miles from Pasadena to London.
You can't criticize geometry. It's never wrong.
Today, the latitude and longitude lines govern with more authority than I could have imagined forty-odd years ago, for they stay fixed as the world changes its configuration underneath them - with continents adrift across a widening sea, and national boundaries repeatedly redrawn by war or peace.
The geometry of the place was all wrong. One could not be sure that the sea and the ground were horizontal,
Geometry is a Deductive Science.
Really, universally, relations stop nowhere, and the exquisite problem of the artist is eternally but to draw, by a geometry of his own, the circle within which they shall happily appear to do so.
In reality the universe has no geometry.
Near that a dusty paint-box, some odd hooks, A half-burnt match, an ivory block, three books, Where conic sections, spherics, logarithms, To great Laplace, from Saunderson and Sims, Lie heaped in their harmonious disarray Of figures,-disentangle them who may.
Geometry is the science of correct reasoning on incorrect figures.
And therefore in geometry (which is the only science that it hath pleased God hitherto to bestow on mankind), men begin at settling the significations of their words; which settling of significations, they call definitions, and place them in the beginning of their reckoning.
I circumnavigate the globe with a one-liner like latitude.
It is not only impolitic and injudicious to even attempt to think ouside a box with a linearly skewed, acutely constrained and partial view. I would rather choose to think iside an infinitesimal pinfold but in 3D.
Trying to map the brain has often been called cartography for fools.
Everything in nature takes its form from the sphere, the cone and the cylinder.
Every writer must reconcile, as best he may, the conflicting claims of consistency and variety, of rigour in detail and elegance in the whole. The present author humbly confesses that, to him, geometry is nothing at all, if not a branch of art.
I'm no mathematician, so I'm stuck with the graphic representations.
When you're a cartographer, having to make maps sort of comes with the territory.
Geometric calculus consists in a system of operations analogous to those of algebraic calculus, but in which the entities on which the calculations are carried out, instead of being numbers, are geometric entities which we shall define.
In Egypt, like everywhere, the land is made to fit the sky; but here it is more so. Here it is possible to say, "This is land," and point, and "This is sky," and point, but the eyes can't discover the dividing line.
Geometry is one and eternal shining in the mind of God
Lip. I have a sudden vivid picture of the earth as flat, a tray, covered in marbles, and someone is tilting it, and the marbles are rolling, cascading, from east to west.
Where in this small-talking world can I find A longitude with no platitude?
A map says to you.
Read me carefully, follow me closely, doubt me not ...
I am the earth in the palm of your hand.
There is a single general space, a single vast immensity which we may freely call void: in it are unnumerable globes like this on which we live and grow, this space we declare to be infinite, since neither reason, convenience, sense-perception nor nature assign to it a limit.
Keith Knight is mapping out a previously unknown vector of the vast cartoon universe.
Once I am in the square circle, I am in my home.
Geometry is the only science that it hath pleased God hitherto to bestow on mankind.
See nature in terms of the cone, the cylinder, and the sphere.
A triangle with four points is what Euclid rides into hell.
As lines, so loves oblique, may well Themselves in every angle greet; But ours, so truly parallel, Though infinite, can never meet.
It is in the world of things and places, times and troubles and turbid
processes, that mathematics is not so much applied as illustrated.