erotusmenetelmässä
Erotusmenetelmässä, often translated as the method of exhaustion, is a mathematical technique used to find the area of a region by inscribing and circumscribing a sequence of polygons, the areas of which approach the area of the region. This method was notably used by Archimedes in the 3rd century BC to calculate the area of a circle, the surface area of a sphere, and the volume of a sphere. The core idea is to divide a complex shape into simpler shapes whose areas can be calculated. As the number of these simpler shapes increases and their size decreases, their combined area gets arbitrarily close to the area of the original shape.
The process involves establishing upper and lower bounds for the area. For instance, when calculating the area