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 center of gravity of any segment of a pyramid is on its axis, at a distance from its vertex equal to three-fourths of the axis.
The center of gravity of any segment of a sphere is on its axis, at a distance from its center equal to the product of the radius of the sphere and the ratio of the height of the segment to the diameter of the sphere.
The center of gravity of any segment of a paraboloid of revolution is on its axis, at a distance from its vertex equal to two-thirds of the axis.
The center of gravity of any segment of a hyperboloid of revolution is on its axis, at a distance from its vertex equal to the product of the eccentricity and the distance from the vertex to the focus.
The center of gravity of any segment of an ellipsoid of revolution is on its axis, at a distance from its vertex equal to the product of the eccentricity and the distance from the vertex to the focus.
The center of gravity of any segment of an ellipse is on its major axis, at a distance from its vertex equal to the product of the eccentricity and the distance from the vertex to the focus.
The center of gravity of any segment of a hyperbola is on its transverse axis, at a distance from its vertex equal to the product of the eccentricity and the distance from the vertex to the focus.
Eureka! Eureka!
Do not disturb my circles.
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world.
There are some, King Gelon, who think that the position of the earth in the heavens is the reason for the immobility of the earth.
My purpose is to show that the universe occupies a finite part of space, and that we can assign bounds to it.
Any circle can be inscribed in a triangle, and any triangle can be inscribed in a circle.
The sphere has three diameters, mutually perpendicular.
The volume of a sphere is two-thirds of the volume of the circumscribed cylinder.
Equal weights at equal distances are in equilibrium.
The center of gravity of a triangle is at the intersection of its medians.
Bodies immersed in a fluid experience an upward force equal to the weight of the displaced fluid.
A solid immersed in a fluid is in equilibrium when its weight equals the weight of the displaced fluid.
The surface of a fluid at rest is a level surface.