Archimedes Quotes
130 Archimedes Quotes
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If a solid lighter than a fluid be at rest in it, the weight of the solid will be to that of the same volume of the fluid as the immersed portion of the solid is to the whole.
Archimedes
For though these properties also were naturally inherent in the figures all along, yet they were in fact unknown to all the many able geometers who lived before Eudoxus, and had not been observed by anyone. Now, however it will be open to those who possess the requisite ability to examine these discoveries of mine…
Archimedes
Since I see, however, as I have previously said, that you are a capable scholar and a prominent teacher of philosophy, and also that you understand how to value a mathematical method of investigation when the opportunity is offered, I have thought it well to analyze and lay down for you in this same book a peculiar method by means of which it will be possible for you to derive instruction as to how certain mathematical questions may be investigated by means of mechanics.
Archimedes
When I heard that Conon, who was my friend in his lifetime, was dead, but that you were acquainted with Conon and withal versed in geometry, while I grieved for the loss not only of a friend but of an admirable mathematician, I set myself the task of communicating to you as I had intended to send to Conon, a certain geometrical theorem which had not been investigated before but has now been investigated by me, and which I first discovered by means of mechanics and then exhibited by means of geometry!
Archimedes
Do not be surprised at my taking a considerable time before publishing these proofs. This has been owing to my desire to communicate them first to persons engaged in mathematical studies and anxious to investigate them.
Archimedes
In fact, how many theorems in geometry which have seemed at first impracticable are in time successfully worked out!
Archimedes
Conon died before he had sufficient time to investigate the theorems referred to; otherwise he would have discovered and made manifest all these things, and would have enriched geometry by many other discoveries beside.
Archimedes
I know well that it was no common ability that he [Conon] brought to bear on mathematics, and that his industry was extraordinary.
Archimedes
Though many years have elapsed since Conon’s death, I do not find that any one of the problems has been stirred by a single person. I wish now to put them in review one by one…
Archimedes
Give me a place to stand and I will move the world!
Archimedes
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