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3. INTRODUCTION
PROJECTIONSOF STRAIGHT LINES
1.Definition of Straight line:
A straight line is the shortest distance between two points.
a.Top views of two end points of a straight line,
when joined, give the top view of the straight line.
b. Front views of the two end points of a straight line,
when joined, give the front view of the straight line.
c. Both the above projections are straight lines.
4. INTRODUCTION
SECTIONINGA SOLID.
An object ( here a solid ) is cut by some imaginary cutting plane
to understand internal details of that object.
The action of cutting is called sectioning a solid & the plane of
cutting is called section plane.
5. PROJECTION
OFSTRAIGHT
LINES
Information regarding a line means it’s length, Position of it’s ends
with HP &VP it’s inclinations with HP &VP will be given.
SIMPLECASES OFTHE LINE
1. AVERTICAL LINE ( LINE PERPENDICULARTO HP & //TOVP)
2. LINE PARALLELTO BOTH HP &VP.
3. LINE INCLINEDTO HP & PARALLELTOVP.
4. LINE INCLINEDTOVP & PARALLELTO HP.
5. LINE INCLINEDTO BOTH HP &VP.
6. Orientation of Straight Line in Space
• A line in space may be parallel ,perpendicular or
inclined to either the H.P. orV.P. or both.
• It may be in one or both the reference Planes.
• Line ends may be in different Quadrants.
• Position of Straight Line in space can be fixed by
various combinations of data like distance of its end
points from reference planes, inclinations of the line
with the reference planes, distance between end
projectors of the line etc.
7. Notations used for Straight Line
• True length of the line:
Denoted by Capital letters. e.g. AB=100 mm, means that
true length of the line is 100 mm.
• FrontView Length:
Denoted by small letters. e.g. a’b’=70 mm, means that
FrontView Length is 70 mm.
• TopView Length:
Denoted by small letters. e.g. ab=80 mm, means that
Top View Length is 80 mm.
• Inclination ofTrue Length of Line with H.P.:
It is denoted by θ. e.g. Inclination of the line with H.P.
(or Ground) is given as 30o means that θ = 30..
8. • Inclination of Front View Length with XY :
It is denoted by α.
e.g. Inclination of the Front view of the
line with XY is given as 50o means that α = 50o.
• Inclination of Top View Length with XY :
It is denoted by β.
e.g. Inclination of the Top view of the
line with XY is given as 30o means that β = 30o.
• End Projector Distance:
It is the distance between two projectors passing through
end points of F.V. & T.V. measured parallel to XY line.
• Inclination of True Length of Line with V.P.:
It is denoted by Φ.
e.g. Inclination of the line with V.P. is
given as 40o means that Φ = 40o.
9.
10.
11.
12.
13. 1)True Length (TL) – a’ b1’ & a b
2) Angle ofTL with HP – Ѳ
3) Angle ofTL withVP – ф
4) Angle of FV with XY – α
5) Angle ofTV with XY – β
6) LTV (length of FV) – Component (a-1)
7) LFV (length ofTV) – Component (a’-1’)
8) Position of A- Distances of a & a’ from XY
9) Position of B- Distances of b & b’ from XY
10) Distance between End Projectors
q & a Construct with a’
Ø & b Construct with a
b & b1 on same locus.
b’ & b1’ on same locus.
24. A hexagonal prism of 30 mm
side of base and 70 mm
height, resting on the H.P.
such that the axis is inclined
at 30o to the H.P. and 60o to
the V.P. Draw its projections.
Keep the top end of the
prism near to theV.P.