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## Orthographic Projection of Lines

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### We must locate a hinge line parallel to one of the oblique lines and project it into that plane. ... F, P, and any auxiliary view hinged to the Horizontal plane. ... – PowerPoint PPT presentation

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Title: Orthographic Projection of Lines

1
Orthographic Projection of Lines
• Definition A line may be defined as the path
or locus of a point moving through space.
• A straight line segment is the shortest distance
between its end points.

2
Classification of Lines
• Lines are classified according to the plane or
planes of projection to which they are parallel.
• The classifications are Horizontal, Front,
Profile, Vertical, and Oblique, lines.

3
Classification of Lines
• A Horizontal line is parallel to the Horizontal
plane of projection.

4
Classification of Lines
• A Front line is parallel to the Frontal plane of
projection.

5
Classification of Lines
• A Profile line is parallel to the Profile plane
of projection.

6
Classification of Lines
• A Vertical line is parallel to the Frontal and
Profile planes of projection.

7
Classification of Lines
• A Oblique line is not parallel to any of the
principal planes of projection.

8
True Length of a line
• An Oblique line can not be measured in either of
the given views because it is not true length.

9
True length of a line
• The true length of any line in space is found
only upon a plane of projection parallel to the
line.
• We must locate a hinge line parallel to one of
the oblique lines and project it into that plane.

10
True Length of a line
• Place the hinge line parallel to FH and GH.

11
True Length of a line
• Project perpendicular to the Auxiliary 1 plane.

12
True Length of a line
• Locate F1 and G1 in the auxiliary plane.

13
Point View of a Line
• The Point View of a line is found on a plane that
is perpendicular to the true length image of the
line.

14
Point View of a Line
• Construct a hinge line perpendicular to the TL
line and project into that plane.

15
Point View of a Line
• Project perpendicular to the hinge line.

16
Point View of a Line
• Measure distance from a Related Plane.

17
Bearing of a Line
• Bearing is the deviation of a line from the
North-South direction.
• We will define the bearing as the acute angle
between the line and a North-South line through
the origin of the line.
• The bearing of a straight line can be measured
only in the horizontal projection of the line.
• We will select the origin point of a line
alphabetically. For example, given line AF,
BFAF would be the origin because it comes first
in the alphabet.

18
Bearing of a Line
19
Bearing of a Line
N 30 E
Origin
20
Bearing of a Line
N 72 W
Origin
21
Bearing of a Line
S 14 E
Origin
22
Bearing of a Line
S 51 W
Origin
23
Angle of a line.
• Inclination is the deviation of a line from the
horizontal.
• The inclination of a line may be measured only in
an ELEVATION view which shows the line in TRUE
LENGTH.
• The elevation views are F, P, and any auxiliary
view hinged to the Horizontal plane.
• Inclination is expressed as slope angle, slope,

24
Angle of a line.
• The angle is positive () if inclined upward or
negative (-) if inclined downward from its
origin.
• The Slope Angle of a line is the acute angle
formed between the TL image and a horizontal
plane through its origin.

25
Angle of a line.
• The angle is positive () if inclined upward or
negative (-) if inclined downward from its origin.

26
Angle of a line.
• The angle is positive () if inclined upward or
negative (-) if inclined downward from its origin.

27
Angle of a line.
• Can the angle of line D,C be obtained from the
given views?

28
Angle of a line.
• ANSWER No. The line is in an elevation plane
but is not from a TL line.

29
Angle of a line.
• The true angle of a line can only be measure from
an elevation plane and a TL line.

NOT TL
30
Angle of a line.
• An Oblique line can not be measured in either of
the given views because it is not true length.

31
Angle of a line.
• Find TL in auxiliary plane 1. Measure from a
horizontal line.

32
Slope of a line.
• SLOPERISE RUN
• Slope is the tangent of the slope angle

33
Slope of a line.
• Find TL in auxiliary plane 1. Measure from a
horizontal line.