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.
Everything one invents is true, you may be perfectly sure of that. Poetry is as precise as geometry.
Geometry is the rules of all mental investigation
Projective geometry is all geometry.
The geometry of judgment is a circle. Hate is a snake that turns to consume itself from the tail, a circle that diminishes to a point, then to nothing. Pride is such a snake, and envy, and greed. Love, however, is a hoop, a wheel, that rolls on forever. We are rescued by those whom we have rescued. The saved become the saviors of their saviors.
Geometry was the first exciting course I remember.
Not only in geometry, but to a still more astonishing degree in physics, has it become more and more evident that as soon as we have succeeded in unraveling fully the natural laws which govern reality, we find them to be expressible by mathematical relations of surprising simplicity and architectonic perfection. It seems to me to be one of the chief objects of mathematical instruction to develop the faculty of perceiving this simplicity and harmony.
And since geometry is the right foundation of all painting, I have decided to teach its rudiments and principles to all youngsters eager for art. . .
I may not be great at geometry but I know one theorum. The longest distance between two points is you and your parents.
The universe does not exist 'out there,' independent of us. We are inescapably involved in bringing about that which appears to be happening. We are not only observers. We are participators. In some strange sense, this is a participatory universe. Physics is no longer satisfied with insights only into particles, fields of force, into geometry, or even into time and space. Today we demand of physics some understanding of existence itself.
One geometry cannot be more true than another; it can only be more convenient. Geometry is not true, it is advantageous.
Algebra is but written geometry and geometry is but figured algebra.
The composer opens the cage door for arithmetic, the draftsman gives geometry its freedom.
Geometry is the only science that it hath pleased God hitherto to bestow on mankind.
I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for, the human intellect. . . Geometry should be ranked, not with arithmetic, which is purely aprioristic, but with mechanics.
I've got a real sense of three-dimensional geometry. I can look at a flat piece of fabric and know that if I put a slit in it and make some fabric travel around a square, then when you lift it up it will drape in a certain way, and I can feel how that will happen.
Give him threepence, since he must make a gain out of what he learns.
I constantly meet people who are doubtful, generally without due reason, about their potential capacity [as mathematicians]. The first test is whether you got anything out of geometry. To have disliked or failed to get on with other [mathematical] subjects need mean nothing; much drill and drudgery is unavoidable before they can get started, and bad teaching can make them unintelligible even to a born mathematician.
Arithmetic! Algebra! Geometry! Grandiose trinity! Luminous triangle! Whoever has not known you is without sense!
A pool game mixes ritual with geometry.
The cowboys have a way of trussing up a steer or a pugnacious bronco which fixes the brute so that it can neither move nor think. This is the hog-tie, and it is what Euclid did to geometry.
I've always been passionate about geometry and the study of three-dimensional forms.
About Thomas Hobbes: He was 40 years old before he looked on geometry; which happened accidentally. Being in a gentleman's library, Euclid's Elements lay open, and "twas the 47 El. libri I" [Pythagoras' Theorem]. He read the proposition "By God", sayd he, "this is impossible:" So he reads the demonstration of it, which referred him back to such a proposition; which proposition he read. That referred him back to another, which he also read. Et sic deinceps, that at last he was demonstratively convinced of that truth. This made him in love with geometry.
Poetry is as precise a thing as geometry.
There is still a difference between something and nothing, but it is purely geometrical and there is nothing behind the geometry.
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