Archimedes of Syracuse
A brilliant ancient Greek mathematician, physicist, engineer, inventor, and astronomer, known for his work on buoyancy and levers.
Quotes by Archimedes of Syracuse
The ratio of the surface area of a sphere to that of its circumscribing cylinder is the same as the ratio of their volumes, namely 2:3.
Every solid bounded by a surface consisting of three planes, and having two of its angles right angles, is a pyramid.
The center of gravity of any triangle is the point in which the medians intersect.
If a solid lighter than a fluid is immersed in it, the solid will not be completely submerged, but part of it will project above the surface of the fluid.
The magnitude of any sphere is equal to a cone having its base equal to the greatest circle of the sphere and its height equal to the radius of the sphere.
The spiral which I have discovered has the property that the area of any sector is equal to the area of a triangle whose base is the arc of the sector and whose height is the radius.
I have found a method for measuring the number of grains of sand that could be contained in the universe.
The ratio of the circumference of any circle to its diameter is the same as the ratio of the surface of any sphere to the square of its diameter.
The center of gravity of any parallelogram is the point in which its diagonals intersect.
If a solid lighter than a fluid is entirely immersed in it, the solid will be carried upwards to the surface of the fluid, and will rest there, having part of it projecting above the surface.
The area of a circle is equal to the area of a right-angled triangle whose sides are equal to the radius and the circumference of the circle.
The volume of a sphere is two-thirds the volume of its circumscribing cylinder.
The center of gravity of a segment of a parabola is on the diameter, and divides it in the ratio 3:2.
The properties of the lever are such that a small force can move a large weight.
I have discovered many wonderful things, but I have not yet found the secret of immortality.
The method of exhaustion is a powerful tool for calculating areas and volumes.
The study of mathematics is a noble pursuit, for it leads to the understanding of the universe.
The more I study, the more I discover my ignorance.
The universe is a vast and complex machine, and mathematics is the language in which it is written.
I have constructed machines that can lift great weights and hurl projectiles with immense force.