A Quote by Augustin-Louis Cauchy

As for methods I have sought to give them all the rigour that one requires in geometry, so as never to have recourse to the reasons drawn from the generality of algebra.

Augustin-Louis Cauchy

Quote Topics

Algebra Drawn Geometry Give Methods Never Reasons Recourse Requires Rigour Sought Them

Quote Author

Augustin-Louis Cauchy
French - Mathematician
August 21, 1789 - May 23, 1857

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

Algebra is but written geometry and geometry is but figured algebra.

Sophie Germain

In fact, Gentlemen, no geometry without arithmetic, no mechanics without geometry... you cannot count upon success, if your mind is not sufficiently exercised on the forms and demonstrations of geometry, on the theories and calculations of arithmetic ... In a word, the theory of proportions is for industrial teaching, what algebra is for the most elevated mathematical teaching.

Jean-Victor Poncelet

Algebra is nothing more than geometry, in words; geometry is nothing more than algebra, in pictures.

Sophie Germain

Fractions, decimals, algebra, geometry, trigonometry, calculus, mechanics - these are the steps up the mountain side. How high is one going to get? For me, the pinnacle was Projective Geometry. Who today has even heard of this branch of mathematics?

Christopher Robin Milne

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!

Jean Dieudonne

Whoever thinks algebra is a trick in obtaining unknowns has thought it in vain. No attention should be paid to the fact that algebra and geometry are different in appearance. Algebras (jabbre and maqabeleh) are geometric facts which are proved by propositions five and six of Book two of Elements.

Omar Khayyam

The generality of virtuous women are like hidden treasures, they are safe only because nobody has sought after them.

Francois de La Rochefoucauld

The voice belonged to Mr. Pzyrbovich, an algebra teacher who was always called Mr. P, for obvious reasons. He has a heavy accent, which a lot of kids said made him hard to understand, although to be fair some of these kids would have never understood algebra anyway.

Dave Barry

I got good grades in math, but I never really enjoyed it. My favorite part of math was algebra, but geometry was the worst.

Nathan Kress

Consider what you think justice requires, and decide accordingly. But never give your reasons; for your judgment will probably be right, but your reasons will certainly be wrong.

William Murray, 1st Earl of Mansfield

The lock-step approach of algebra, geometry, and then more algebra (but rarely any statistics) is still dominant in U. S. schools, but hardly anywhere else. This fragmented approach yields effective mathematics education not for the many but for the few primarily those who are independently motivated and who will learn under any conditions.

Lynn Steen

I write rhymes with addition and algebra, mental geometry.

Ice T

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.