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
Give me a place to stand, and I shall move the Earth.
Eureka! (I have found it!)
Do not disturb my circles!
Any magnitude whatever being given, and any magnitude whatever less than the first being given, it is possible to find a number of the second magnitude such that, when multiplied, it will exceed the first.
The ratio of the surface area of a sphere to that of its circumscribed cylinder is the same as the ratio of their volumes, namely 2:3.
The area of a segment of a parabola is 4/3 the area of the triangle with the same base and height.
Every body immersed in a fluid experiences an upward buoyant force equal to the weight of the fluid displaced by the body.
Magnitudes are said to be in a ratio to one another which can, when multiplied, exceed one another.
The center of gravity of any triangle is the point where its medians intersect.
The center of gravity of any parallelogram is the point where its diagonals intersect.
The center of gravity of any cone is on its axis, at a distance from its base equal to one-fourth of the axis.
The center of gravity of any pyramid is on its axis, at a distance from its base equal to one-fourth of the axis.
The area of a circle is equal to the area of a right-angled triangle whose base is equal to the circumference, and whose height is equal to the radius.
The value of pi is between 3 10/71 and 3 1/7.
The volume of a sphere is two-thirds the volume of its circumscribed cylinder.
The surface area of a sphere is four times the area of its greatest circle.
The volume of any segment of a sphere is equal to the volume of a cone whose base is the same as the segment's base and whose height is the same as the segment's height, plus the volume of a cylinder whose base is the same as the segment's base and whose height is half the segment's height.
The surface area of any segment of a sphere is equal to the area of a circle whose radius is the same as the radius of the sphere, multiplied by the ratio of the height of the segment to the diameter of the sphere.
The ratio of the area of a spiral to that of the circle whose radius is the final radius of the spiral is 1:3.
The tangent to a spiral at any point makes an angle with the radius vector to that point equal to the angle whose tangent is the ratio of the radius vector to the arc length from the origin to that point.