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- W1914421519 abstract "From Figure 18a we see that the plane that bisects a pair of planes ( P and Q ) contains: 1 their line of intersection, L , and 2 the line c in plane N which is perpendicular to the line of intersection, L . Line c bisects the angle (α) between the traces of the planes P and Q (labelled a and b respectively). Method using great circles 1 Plot both planes ( P and Q in Fig. 18a) as great circles (Fig. 18b). The crossing point of these great circles gives the line of intersection, L (see p. 26). 2 Draw the great circle for the plane N , the plane which is perpendicular to L (Fig. 18b). 3 On the great circle N locate a and b , the intersections with planes P and Q respectively. 4 Measure the acute angle (α) between a and b and locate c and d at the mid-points (in terms of angle) between these intersections (Fig. 18b). 5 Draw the great circle passing through L and c . This is the plane that bisects the acute angle between the planes P and Q . This plane is referred to as the acute bisector. 6 Draw the great circle passing through L and d . This is the plane which bisects the obtuse angle between the planes P and Q . This plane is the obtuse bisector. The acute and obtuse bisecting planes constructed at Stages 5 and 6 are mutually perpendicular." @default.
- W1914421519 created "2016-06-24" @default.
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- W1914421519 date "2004-04-01" @default.
- W1914421519 modified "2023-09-25" @default.
- W1914421519 title "The plane that bisects the angle between two planes" @default.
- W1914421519 doi "https://doi.org/10.1017/cbo9781139171366.019" @default.
- W1914421519 hasPublicationYear "2004" @default.
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