Other Propositions in The Palimpsest
A series of propositions of geometry are proved in the palimpsest by similar arguments. One theorem is that the location of a center of gravity of a hemisphere is located 5/8 of the way from the pole to the center of the sphere. This problem is notable, because it is evaluating a cubic integral.
Read more about this topic: The Method Of Mechanical Theorems
Famous quotes containing the word propositions:
“It has often been argued that absolute scepticism is self-contradictory; but this is a mistake: and even if it were not so, it would be no argument against the absolute sceptic, inasmuch as he does not admit that no contradictory propositions are true. Indeed, it would be impossible to move such a man, for his scepticism consists in considering every argument and never deciding upon its validity; he would, therefore, act in this way in reference to the arguments brought against him.”
—Charles Sanders Peirce (1839–1914)