A Quote by Henri Poincare

Geometry is the art of correct reasoning from incorrectly drawn figures.

Henri Poincare

Quote Topics

Art Correct Drawn Figures Geometry Reasoning

Quote Author

Henri Poincare
French - Mathematician
April 29, 1854 - July 17, 1912

Geometry is the science of correct reasoning on incorrect figures.

George Polya

Mathematics is the art of accurate reasoning on inaccurately-drawn figures... let that be our motto.

Arthur Mattuck

Geometry enlightens the intellect and sets one's mind right. All of its proofs are very clear and orderly. It is hardly possible for errors to enter into geometrical reasoning, because it is well arranged and orderly. Thus, the mind that constantly applies itself to geometry is not likely to fall into error. In this convenient way, the person who knows geometry acquires intelligence.

Ibn Khaldun

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.

Isaac Newton

Since reasoning , or inference, the principal subject of logic, is an operation which usually takes place by means of words , and in complicated cases can take place in no other way: those who have not a thorough insight into both the signification and purpose of words, will be under chances, amounting almost to certainty, of reasoning or inferring incorrectly.

John Stuart Mill

You will be right, over the course of many transactions, if your hypotheses are correct, your facts are correct, and your reasoning is correct. True conservatism is only possible through knowledge and reason.

Warren Buffett

Geometry is beautifully logical, and it teaches you how to think and prove that things are so, step by step by step. Proofs are excellent lessons in reasoning. Without logic and reasoning, you are dependent on jumping to conclusions or - worse - having empty opinions.

Marilyn vos Savant

Reasoning will never make a man correct an ill opinion, which by reasoning he never acquired

Jonathan Swift

Considerable obstacles generally present themselves to the beginner, in studying the elements of Solid Geometry, from the practice which has hitherto uniformly prevailed in this country, of never submitting to the eye of the student, the figures on whose properties he is reasoning, but of drawing perspective representations of them upon a plane. ...I hope that I shall never be obliged to have recourse to a perspective drawing of any figure whose parts are not in the same plane.

Augustus De Morgan

... if you insist that the inference is made by a chain of reasoning, I desire you to produce that reasoning. The connection between the two is not intuitive. There is required a medium, which may enable the mind to draw such an inference, if indeed it be drawn by reasoning and argument. What that medium is, I must confess, passes my comprehension; and it is incumbent on those to produce it, who assert that it really exists, and is the origin of all our conclusions concerning matter of fact.

David Hume

And you can't make a mistake when you are reading the Torah, so you have men standing around who will correct you if you are reading it incorrectly.

Jami Gertz

There's a correct way to succeed. The incorrect way is to do things incorrectly.

Chris Eubank Sr.

The concept of congruence in Euclidean geometry is not exactly the same as that in non-Euclidean geometry. ..."Congruent" means in Euclidean geometry the same as "determining parallelism," a meaning which it does not have in non-Euclidean geometry.

Hans Reichenbach

A proposition of geometry does not compete with life; and a proposition of geometry is a fair and luminous parallel for a work of art. Both are reasonable, both untrue to the crude fact; both inhere in nature, neither represents it.

Robert Louis Stevenson

Analytical geometry has never existed. There are only people who do linear geometry badly, by taking coordinates, and they call this analytical geometry. Out with them!