A Quote by Joseph-Louis Lagrange
The reader will find no figures in this work. The methods which I set forth do not require either constructions or geometrical or mechanical reasonings: but only algebraic operations, subject to a regular and uniform rule of procedure.
Related Quotes
To find the length of an object, we have to perform certain physical operations. The concept of length is therefore fixed when the operations by which length is measured are fixed that is, the concept of length involves as much as and nothing more than the set of operations by which length is determined.
Civilization advances by extending the number of important operations which we can perform without thinking about them. Operations of thought are cavalry charges in a battle - they are limited in number, they require fresh horses, and must only be made at decisive moments.
Any church which forsakes the regular and uniform for the periodical and spasmodic service of God, is doomed to decay; any church which relies for its spiritual strength and growth entirely upon seasons of "revival," will very soon have no genuine revivals to rely on. Our holy God will not conform His blessings to man's moods and moral caprice. If a church is declining, it may require a "revival" to restore it; but what need was there of its declining?
We can... treat only the geometrical aspects of mathematics and shall be satisfied in having shown that there is no problem of the truth of geometrical axioms and that no special geometrical visualization exists in mathematics.
The quantity of meaning compressed into small space by algebraic signs, is another circumstance that facilitates the reasonings we are accustomed to carry on by their aid.
10 Rules for Being Human: Rule #1 - You will receive a body. Rule #2 - You will be presented with lessons. Rule #3 - There are no mistakes, only lessons. Rule #4 - The lesson is repeated until learned. Rule #5 - Learning does not end. Rule #6 - "There" is no better than "here". Rule #7 - Others are only mirrors of you. Rule #8 - What you make of your life is up to you. Rule #9 - Your answers lie inside of you. Rule #10 - You will forget all this at birth.
It were much to be desired, that when mathematical processes pass through the human brain instead of through the medium of inanimate mechanism, it were equally a necessity of things that the reasonings connected with operations should hold the same just place as a clear and well-defined branch of the subject of analysis, a fundamental but yet independent ingredient in the science, which they must do in studying the engine.
The most difficult part of writing a book is not devising a plot which will captivate the reader. It's not developing characters the reader will have strong feelings for or against. It is not finding a setting which will take the reader to a place he or she as never been. It is not the research, whether in fiction or non-fiction. The most difficult task facing a writer is to find the voice in which to tell the story.
...to characterize the import of pure geometry, we might use the standard form of a movie-disclaimer: No portrayal of the characteristics of geometrical figures or of the spatial properties of relationships of actual bodies is intended, and any similarities between the primitive concepts and their customary geometrical connotations are purely coincidental.
Young people, don't get the idea that you have an artistic temperament which must be humored. Don't believe you cannot do good work unless you feel in tile mood for it. That is all nonsense. I frequently have to force myself to make a start in the morning; but after a short while I find I can work. Only hard and regular work will bring success.
If you work diligently... without saying to yourself beforehand, 'I want to make this or that,' if you work as though you were making a pair of shoes, without artistic preoccupation, you will not always find you do well. But the days you least expect it, you will find a subject which holds its own with the work of those who have gone before.
Geometry is of much assistance in architecture, and in particular it teaches us the use of the rule and compasses, by which especially we acquire readiness in making plans for buildings in their grounds, and rightly apply the square, the level, and the plummet. By means of optics the light in buildings can be drawn from fixed quarters of the sky. Difficult questions involving symmetry are solved by means of geometrical theories and methods.
It should be noted that no ethically-trained software engineer would ever consent to write a DestroyBaghdad procedure. Basic professional ethics would instead require him to write a DestroyCity procedure, to which Baghdad could be given as a parameter.
For truly in nature there are many operations that are far more than mechanical. Nature is not simply an organic body like a clock, which has no vital principle of motion in it; but it is a living body which has life and perception, which are much more exalted than a mere mechanism or a mechanical motion.
Forget if you are rich or poor. All you need is faith in yourself. If you have the passion to work then just get up and set forth and you will find the way!
Now a slave is not 'held' by any legal contract, obligation, duty, or authority, which the laws will enforce. He is 'held' only by brute force. One person beats another until the latter will obey him, work for him, if he require it, or do nothing if he require it.
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