Outrageously Funny Word Dictionary :: Exposure triangle

👉 The Exposition Triangle refers to a geometric shape in Euclidean geometry that divides space into four regions called "four sides" (the x, y, z, and t axes) at the same distance from the origin O, forming four distinct parallelograms. Its importance lies in its role in understanding how points on the plane can be classified as either within an ellipse, hyperboloid of one sheet, or a paraboloid. The Exposition Triangle has been used since antiquity and is closely connected to many concepts in mathematics such as spherical geometry and trigonometry. It's particularly significant for its ability to classify all points on the plane into four distinct categories: points within an ellipse, hyperboloid of one sheet (which includes both a circle and a paraboloid), points outside an ellipse, or points on the surface of a sphere. In particular, this shape helps in distinguishing between lines and planes. It's named after a Greek mathematician who investigated these shapes in his work on geometry.

Exposure Triangle