Chord

The Line Segment joining two points on a curve. The term is often used to describe a Line Segment whoseends lie on a Circle. In the above figure, is the Radius of the Circle, is called theApothem, and the Sagitta.

The shaded region in the left figure is called a Sector, and the shaded region in the right figure is called a Segment.

All Angles inscribed in a Circle and subtended by the same chord are equal. The converse is alsotrue: The Locus of all points from which a given segment subtends equal Angles is a Circle.

Let a Circle of Radius have a Chord at distance . The Area enclosed by the Chord, shownas the shaded region in the above figure, is then

(1)

(2)

(3)

			(4)

(5)

• Helmholtz Differential Equation--Cartesian Coordinates
• Helmholtz Differential Equation--Circular Cylindrical Coordinates
• Helmholtz Differential Equation--Confocal Ellipsoidal Coordinates
• Helmholtz Differential Equation--Confocal Paraboloidal Coordinates
• Helmholtz Differential Equation--Conical Coordinates
• Helmholtz Differential Equation--Elliptic Cylindrical Coordinates
• Helmholtz Differential Equation--Oblate Spheroidal Coordinates
• Helmholtz Differential Equation--Parabolic Coordinates
• Helmholtz Differential Equation--Parabolic Cylindrical Coordinates
• Helmholtz Differential Equation Polar Coordinates
• Helmholtz Differential Equation--Prolate Spheroidal Coordinates
• Helmholtz Differential Equation--Spherical Coordinates
• Helmholtz Differential Equation--Spherical Surface
• Helmholtz Differential Equation--Toroidal Coordinates
• Helmholtz's Theorem
• Helson-Szegö Measure
• Hemicylindrical Function
• Hemisphere
• Hemispherical Function
• Hempel's Paradox
• Hendecagon
• Henneberg's Minimal Surface
• Hensel's Lemma
• Henstock-Kurzweil Integral
• Heptacontagon