What is the purpose of stereographic projection?

What is the purpose of stereographic projection?

Stereographic projection is a technique for displaying the angular properties of a plane faced object on a single drawing or diagram. Directions as well as planes may be shown and any desired angle can be measured directly from the projection using a graphical technique.

How do you write a trend and plunge?

These are generally written as plunge -> trend. You can remember how to write a plunge & trend measurement down by recalling that a line plunges in the direction of the trend – hence we write the measurement with an arrow pointing from the plunge value toward the trend value.

How do you find a stereographic projection?

The general equation of a plane in 3-space is Ax + By + Cz = D. The stereographic projection of the circle is the set of points Q for which P = s-1(Q) is on the circle, so we substitute the formula for P into the equation for the circle on the sphere to get an equation for the set of points in the projection.

What is apparent dip?

Apparent dip is the angle between the horizontal and a planar or tabular geologic feature such as a bed, fault or vein as seen in a structure section. When the section is per- pendicular to the strike, apparent dip equals true dip; for all other orientations, apparent dip is less than true dip (Dennis, 1972, p.

What is pitch and plunge?

Plunge is the vertical angle between the horizontal plane and the axis or line of maximum elongation of a feature. Plunge is measured along the axis of a fold, whereas dip is measured along the limbs. Pitch is the angle between the axis of the…

How do you read a trend and plunge?

The plunge is given with two digits from 00 to 90°. A trend and a plunge give the orientation of any line in space. Since lines are either horizontal, vertical, or somewhere in between, the bearing points toward the plunge – it is the plunge direction. These are generally written as plunge -> trend.

How do you find the rake on a stereonet?

Rake is simply the angle between the strike direction and the lineation trend. You can figure this out simply on a stereonet by just counting the grid squares along the great circle line. Rakes of 0° are at North and South, while a rake of 90° is in the middle.

What is stereographic projection in complex analysis?

The stereographic projection is a mapping that projects the sphere onto a plane. This projection is defined on the whole sphere, except at the projection point.