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The laws of nature are but the mathematical thoughts of God.
Things which are equal to the same thing are also equal to one another.
A line is length without breadth.
In right-angled triangles the square on the side subtending the right angle is equal to the squares on the sides containing the right angle.
Sire, there is no royal road to geometry.
Better balance, less pain and less restless leg syndrome.
Give him threepence, since he must make a gain out of what he learns.
And the whole is greater than the part.
A prime number is one (which is) measured by a unit alone.
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser.