Understanding Points, Lines, and Planes in 3D Geometry and Geology, Study notes of Geology

Definitions and descriptions of points, lines, and planes in both 3d geometry and geology. Topics include the different ways to define these elements, geologic methods for describing them, and attitude symbols for geologic maps. Students will gain a solid foundation in these concepts.

Typology: Study notes

2012/2013

Uploaded on 07/18/2013

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9/10/03 1
Lab1-1
ORIENTATIONS OF LINES AND PLANES IN SPACE
IMain Topics
ADefinitions of points, lines, and planes
BGeologic methods for describing lines and planes
CAttitude symbols for geologic maps
DReference Frames
II Definitions of points, lines, and planes
APoint
1Defined by one set of coordinates (an ordered triple in 3-D)
2Defined by distance and direction from a reference point
3Intersection of two lines
4Intersection of three planes
BLine
1Defined by two sets of coordinates
2Defined by two points
3Defined by distance from a reference point and the direction of
the line
Reference point
Direction
4Intersection of two planes
CPlane
1Defined by three sets of coordinates
2Defined by three points
3Defined by distance and direction from a reference point
Reference point
Direction of
line normal to
plane
Plane
(edge view)
d
4Defined by two intersecting or two parallel lines
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ORIENTATIONS OF LINES AND PLANES IN SPACE

I Main Topics A Definitions of points, lines, and planes B Geologic methods for describing lines and planes C Attitude symbols for geologic maps D Reference Frames II Definitions of points, lines, and planes A Point 1 Defined by one set of coordinates (an ordered triple in 3-D) 2 Defined by distance and direction from a reference point 3 Intersection of two lines 4 Intersection of three planes B Line 1 Defined by two sets of coordinates 2 Defined by two points 3 Defined by distance from a reference point and the direction of the line

Reference point

Direction

4 Intersection of two planes C Plane 1 Defined by three sets of coordinates 2 Defined by three points 3 Defined by distance and direction from a reference point

Reference point

Direction of line normal to plane

Plane (edge view)

d

4 Defined by two intersecting or two parallel lines

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