The area of a circle is equal to the area of a right-angled triangle whose sides containing the right angle are equal to the radius and circumference of the circle respectively.
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"Any solid lighter than a fluid will, if placed in the fluid, be so far immersed that the weight of the fluid displaced by the immersed portion will be equal to the weight of the solid."
"The diameter of the Earth is greater than the diameter of the Moon and the diameter of the Sun is greater than the diameter of the Earth."
"Eureka! (I have found it!)"
"Equal weights at equal distances are in equilibrium, and equal weights at unequal distances are not in equilibrium, but incline towards the weight which is at the greater distance."
"I have discovered a way to measure the circumference of the Earth."
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