Archimedes

Give me a place to stand, and I will move the Earth.

Eureka! (I have found it!)

Do not disturb my circles!

Any solid lighter than a fluid will, if placed in the fluid, be so far immersed that the weight of the solid will be equal to the weight of the fluid displaced.

The ratio of the surface area of a sphere to the surface area of its circumscribing cylinder is 2:3.

The ratio of the volume of a sphere to the volume of its circumscribing cylinder is 2:3.

The value of pi is between 3 10/71 and 3 1/7.

Any magnitude whatever being given, it is possible to find a finite multiple of that magnitude which will exceed any other given magnitude.

There are no bounds to the number of grains of sand.

The center of gravity of any triangle is the point in which the medians intersect.

Equal weights at equal distances are in equilibrium, and equal weights at unequal distances are not in equilibrium but incline towards the weight which is at the greater distance.

Magnitudes are said to be in equilibrium when the sum of their moments about the fulcrum is zero.

The area of a segment of a parabola is 4/3 the area of the triangle with the same base and height.

The surface of any sphere is equal to four times the greatest circle in it.

The volume of any sphere is equal to four times the cone which has its base equal to the greatest circle in the sphere and its height equal to the radius of the sphere.

If a solid be heavier than a fluid, the solid will, if placed in the fluid, descend to the bottom of the fluid, and the solid will, when weighed in the fluid, be lighter than its true weight by the weight of the fluid displaced.

I believe that the number of grains of sand is greater than the number of stars in the universe.

The area of a circle is equal to the area of a right-angled triangle whose legs are the radius and the circumference of the circle.

The spiral of Archimedes is a curve such that the distance from the origin to any point on the curve is proportional to the angle through which the radius vector to that point has rotated.

The method of exhaustion is a method of finding the area of a shape by inscribing within it a sequence of polygons whose areas converge to the area of the shape.