Archimedes

I find great joy in the process of discovery.

The properties of cylinders are closely related to those of spheres.

I have developed new methods for calculating areas and volumes that surpass previous attempts.

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

The ratio of the circumference of any circle to its diameter is the same as the ratio of the area of the circle to the square of its radius.

The surface area of a sphere is four times that of its greatest circle.

The volume of a sphere is two-thirds the volume of its circumscribed cylinder.

By means of a lever, a small force can move a great weight.

Every body immersed in a fluid experiences an upward buoyant force equal to the weight of the fluid it displaces.

The center of gravity of any triangle is the point where its medians intersect.

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

With a sufficiently long lever, one man could move the world.

The sand reckoning is an attempt to estimate the number of grains of sand that the universe could contain.

There are no small forces, only small distances.

The method of exhaustion is a way to find the area or volume of a shape by inscribing and circumscribing polygons or solids.

The principle of the lever is that weights are in equilibrium at distances reciprocally proportional to their magnitudes.

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 volume of a cone is one-third the volume of a cylinder with the same base and height.

The volume of a pyramid is one-third the volume of a prism with the same base and height.

The spiral of Archimedes is a curve traced by a point moving at a constant speed along a line that rotates at a constant angular velocity.