"Take the case of a cube and a sphere, and see which is the more beautiful body."

"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 surface of any segment of a sphere is equal to a circle whose radius is the straight line drawn from the vertex of the segment to any point on the circumference of its base."

"If I had a place to stand on, I could move the whole world."

"No difficulty can be too great for the human mind, if it applies itself with diligence and skill."