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
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“Neither moral relations nor the moral law can swing in vacuo. Their only habitat can be a mind which feels them; and no world composed of merely physical facts can possibly be a world to which ethical propositions apply.”
—William James (18421910)