Position angle a hypothetical binary star with a PA of 135 degrees, that means an imaginary line in the eyepiece drawn from the north celestial pole to the primary (P) would be offset from the secondary (S) such that the NCP-P-S angle would be 135 degrees. When graphing visual binary orbits, the NCP line is traditionally drawn downward—that is, with north at bottom—and PA is measured counterclockwise. Also the direction of the proper motion can for example be given by its position angle. The definition of position angle is also applied to extended objects like galaxies, where it refers to the angle
Inscribed angle the case where the measure of the inscribed angle is the "difference" between two inscribed angles as discussed in the first part of this proof. Given a circle whose center is point "O", choose three points "V", "C", and "D" on the circle. Draw lines "VC" and "VD": angle "DVC" is an inscribed angle. Now draw line "VO" and extend it past point "O" so that it intersects the circle at point "E". Angle "DVC" subtends arc "DC" on the circle. Suppose this arc does not include point "E" within it. Point "E" is diametrically opposite to point "V". Angles