cycloidal arch การใช้

The cycloidal arch was used by architect Louis Kahn in his design for the Kimbell Art Museum in Fort Worth, Texas.
It is a short step from there to the conclusion that the area under a single whole cycloidal arch is three times the area of the circle.
Fifteen years later, Christiaan Huygens had deployed the cycloidal pendulum to improve chronometers and had discovered that a particle would traverse a segment of an inverted cycloidal arch in the same amount of time, regardless of its starting point.
Which then means that the area of a rectangle bounding one half of a single cycloidal arch is two times the area of the circle, the area of a rectangle bounding a single whole cycloidal arch is four times the area of the circle, and the rectangularly-bounded area above a single whole cycloidal arch is exactly equal to the area of the circle.
Which then means that the area of a rectangle bounding one half of a single cycloidal arch is two times the area of the circle, the area of a rectangle bounding a single whole cycloidal arch is four times the area of the circle, and the rectangularly-bounded area above a single whole cycloidal arch is exactly equal to the area of the circle.