"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 value of pi is more than 3 10/71 and less than 3 1/7."

"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."

"Many things which seem incredible and impossible to those who have had no experience of the methods of science, are yet capable of being accomplished by means of geometry."

"The greatest pleasure is to discover."