Points of the compass "X "al" Y" (X to Y) or "X "per" Y" (X by Y). There are no irregularities to trip over; the closest principal wind always comes first, the more distant one second, for example: north-by-east is ""Quarto di Tramontana verso Greco""; and northeast-by-north is ""Quarto di Greco verso Tramontana"". The table below shows how the 32 compass points are named. Each point has an angular range of 11.250 degrees where: middle azimuth is the horizontal angular direction (from north) of the given compass bearing; minimum is the lower angular limit of the compass point; and maximum is the upper angular
Compass equivalence theorem points A, B, and C, construct a circle centered at A with radius the length of BC (that is, equivalent to the solid green circle, but centered at A). It is possible to prove compass equivalence without the use of the straightedge. This justifies the use of "fixed compass" moves (constructing a circle of a given radius at a different location) in proofs of the Mohr–Mascheroni theorem, which states that any construction possible with straightedge and compass can be accomplished with compass alone. Given points A, B, and C, construct a circle centered at A with the radius BC, using