English Dictionary

generalized circle

noun

(geometry, inversive geometry) A circle or a line, the two being regarded as types of a single form.

A generalized circle is a geometric shape that includes both circles and other curved shapes.

意味（1）

(geometry, inversive geometry) A circle or a line, the two being regarded as types of a single form.

We shall speak of lines and circles as generalized circles. A line is a generalized circle that passes through the point at infinity. Under the inversion 𝜁=1/z the generalized circle (53.3) goes into

(53-4) 𝛽|𝜁|²-p𝜁-◌̅p◌̅𝜁+𝛼=0,

We shall speak of lines and circles as generalized circles. A line is a generalized circle that passes through the point at infinity. Under the inversion 𝜁=1/z the generalized circle (53.3) goes into (53-4) 𝛽|𝜁|²-p𝜁-◌̅p◌̅𝜁+𝛼=0, which is a generalized circle in the ζ-plane.