A Quote by Archimedes

Two magnitudes whether commensurable or incommensurable, balance at distances reciprocally proportional to the magnitudes. — © Archimedes
Two magnitudes whether commensurable or incommensurable, balance at distances reciprocally proportional to the magnitudes.

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We admit, in geometry, not only infinite magnitudes, that is to say, magnitudes greater than any assignable magnitude, but infinite magnitudes infinitely greater, the one than the other. This astonishes our dimension of brains, which is only about six inches long, five broad, and six in depth, in the largest heads.
In geometry I find certain imperfections which I hold to be the reason why this science, apart from transition into analytics, can as yet make no advance from that state in which it came to us from Euclid. As belonging to these imperfections, I consider the obscurity in the fundamental concepts of the geometrical magnitudes and in the manner and method of representing the measuring of these magnitudes, and finally the momentous gap in the theory of parallels, to fill which all efforts of mathematicians have so far been in vain.
Bioterrorism is like earthquakes, you should think in order of magnitudes. If you can kill 10 people that's a one, 100 people that's a two... Bioterrorism is the thing that can give you not just sixes, but sevens, eights and nines.
All appearances have a determinate magnitude (the relation of which to another assignable). The infinite does not appear as such, likewise not the simple. For the appearances are included between two boundaries (points) and are thus themselves determinate magnitudes.
Words will never be enough to quantify and qualify the many magnitudes of human-caused destruction.
If we have a heart for the magnitudes of life, it will not seem vain to believe that God Himself should guard it.
One of the first and most difficult steps in a science is to conceive clearly the nature of the magnitudes about which we are arguing.
Lately there have been complaints that the use of the magnitude scale is confusing, or at least the reporting of magnitudes in the newspapers 'confuses the public.
This is very similar to astronomy where different magnitudes are assigned to the brightness of an astronomical object, depending on the range of wavelengths being measured.
When people are not aiming for anything in particular or when they cannot monitor their performance, there is little basis for translating perceived efficacy into appropriate magnitudes of effort
Magnitudes are algebraically represented by letter, men by men of letters, and so on.
It is easier to feel than to realize, or in any way explain, Yosemite grandeur. The magnitudes of the rocks and trees and streams are so delicately harmonized, they are mostly hidden.
There may be few instances in which the superstition that only measurable magnitudes can be important has done positive harm in the economic field: but the present inflation and employment problems are a very serious one.
... on principle, it is quite wrong to try founding a theory on observable magnitudes alone. In reality the very opposite happens. It is the theory which decides what we can observe.
[In plotting earthquake measurements] the range between the largest and smallest magnitudes seemed unmanageably large. Dr. Beno Gutenberg then made the natural suggestion to plot the amplitudes logarithmically.
The squares of the periodic times are proportional to the cubes of the mean distances from the sun.
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