Archimedes
Greatest mathematician-physicist of antiquity
Quotes by Archimedes
The number of grains of sand that could be contained in the universe is finite, but extremely large.
The center of gravity of a segment of a parabola is located on the axis of the parabola at a distance of 3/5 of the height from the vertex.
The area of a spiral is 1/3 the area of the circle whose radius is the length of the spiral at the end of one revolution.
The tangent to a spiral at any point makes an angle with the radius vector to that point whose tangent is proportional to the angle of rotation.
The volume of a segment of a paraboloid of revolution is half the volume of the cylinder with the same base and height.
The surface area of a segment of a paraboloid of revolution is equal to the area of a circle whose radius is the length of the arc of the generating parabola from the vertex to the base of the segment.
The volume of a segment of a spheroid is 2/3 the volume of the cylinder with the same base and height.
The surface area of a segment of a spheroid is equal to the area of a circle whose radius is the length of the arc of the generating ellipse from the vertex to the base of the segment.
The method of exhaustion can be used to find the volume of solids as well as the area of plane figures.
The principle of the lever is fundamental to understanding the operation of many machines.
The density of an object can be determined by comparing its weight in air to its weight when submerged in water.
The center of gravity of a system of weights is the point at which the system would balance.
The properties of the parabola, ellipse, and hyperbola are important in the study of optics and astronomy.
The concept of infinity, while not fully developed, was explored in my work on the Sand Reckoner.
The use of infinitesimals, though not rigorously defined, was a powerful tool in my mathematical discoveries.
The practical applications of mathematics are as important as its theoretical beauty.
Mathematics is the language of the universe.
The pursuit of knowledge is its own reward.
The universe is governed by mathematical laws.
The elegance of a mathematical proof is a thing of beauty.