In geometry, a cardioid (from Greek καρδιά (kardiá) 'heart') is a plane curve traced by a point on the perimeter of a circle that is rolling around a fixed circle of the same radius.

心脏线的英文名称“Cardioid”是 de Castillon 在 1741年 的《Philosophical Transactions of the Royal Society》发表的；意为“像心脏的”。

Jul 23, 2025 · A cardioid is a specific type of mathematical curve that resembles the shape of a heart. It is a plane curve generated by a point on the circumference of a circle that rolls around a fixed circle …

Mar 26, 2023 · Cardioid A plane algebraic curve of order four which is described by a point $M$ of a circle of radius $r$ rolling on a circle with the same radius $r$; an epicycloid with modulus $m=1$.

A cardioid is a plane curve traced by a point of a circle that is rolling on the circumference of another circle of the same radius. A cardioid is also called a Greek heart.

What Is Cardioid? A cardioid is a heart-shaped curve created by tracing a point on the edge of a circle as that circle rolls around another circle of the same size, without slipping. The name 'cardioid' …

The meaning of CARDIOID is a heart-shaped curve that is traced by a point on the circumference of a circle rolling completely around an equal fixed circle and has an equation in one of the forms ρ = a (1 …

The more lines you draw, the \curve" that they make out, known as the cardioid (heart-shaped), will appear more smooth, except for that pinch on the left. The position of the pinch, more formally called …

The cardioid, a name first used by de Castillon in a paper in the Philosophical Transactions of the Royal Societyin 1741, is a curve that is the locus of a point on the circumference of circle rolling round the …

Dec 3, 2025 · The cardioid has a cusp at the origin. The name cardioid was first used by de Castillon in Philosophical Transactions of the Royal Society in 1741. Its arc length was found by la Hire in 1708. …