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ASSIGNMENT
(to be submitted on 22nd
Oct 2010, Friday)
1. Page 2 – Problem 4 (pentagon) – TYPE 1a
2. Page 2 – Problem 5 (square) – TYPE 1a
3. Page 3 – Problem 7 (rectangle) – TYPE 2a (find angle of
inclination with V.P.)
4. University questions – No. 7 (circle) – TYPE 1b2 (find angle
of inclination with H.P.)
5. University questions – No. 9 (hexagon) – TYPE 2a
PROJECTION OF LINES
Engineering Graphics
I Year - CSE
Line parallel to HP and VP
True length
VP
HP
Distance above HP
Distance in front of VP
a’ b1’
b1
a
True length
Locus of a’
Locus of a
True length
Top view length
VP
HP
Distance above HP
Distance in front of VP
True inclination with HP
a’
b1’
b1
a
Line inclined to HP and parallel to VP
Locus of a’
Locus of a
Truelength
VP
HP
Distance above HP
Distance in front of VP
True inclination
with HP
a’
b1’
a
Line perpendicular to HP
, b1
Locus of a’
Locus of a
VP
HP
Distance above HP
Distance in front of VP
a’
True
length
True
inclination
with VP
b1
a
Front view length b1’
Line inclined to VP and parallel to HP
TYPE - I
Locus of one end point
True length
True inclinations with VP and HP
Line inclined to both VP and HP
Apparent
inclination
with HP
Locus of a’
Locus of b’
Locus of a
Locus of b
True length
True
length
Front view length
VP
HP
Distance above HP
Apparent
inclination
with VP
True
inclination
with VP
True inclination with HP
a’
b1’
b1
aDistance in front of VP Top view length
Frontview
length
b2’
Topviewlength
b2
Distance between
end projectors
TYPE - II
Locus of two end points
True length
Line inclined to both VP and HP
Apparent
inclination
with HP
Locus of a’
Locus of b’
Locus of a
Locus of b
True length
True
length
Front view length
VP
HP
Apparent
inclination
with VP
True
inclination
with VP
a’
b1’
b1
a Top view length
Frontview
length
b2’
Topviewlength
b2
Distance between
end projectors
Distances above HP
Distances
in front of VP
True inclination with HP
Apparent
inclination
with HP
Locus of b’
Locus of a’
Locus of a
Locus of b
True length
True
length
Front view length
VP
HP
Apparent
inclination
with VP
True
inclination
with VP
a’
b1’
b1
a Top view length
Frontview
lengthTopviewlength
b2
Distance between
end projectors
Distances above HP
Distances
in front of VP
True inclination with HP
b2’
TYPE - III
True length
Top and front view of ONE end point
Top/front view of OTHER end point
Length of Top/front view
Line inclined to both VP and HP
Apparent
inclination
with HP
Locus of a’
Locus of b’
Locus of b
Locus of a
True length
True
length
Front view length
VP
HP
Apparent
inclination
with VP
True
inclination
with VP
a’
b1’
b1
a
Top view length
Frontview
length
b2’
Topviewlength
b2
Distance between end projectors
Distance above HP
Distances
in front of VP
True inclination with HP
TYPE - IV
True length
Top and front view of ONE end point
Length of top AND front views
Line inclined to both VP and HP
Apparent
inclination
with HP
Locus of a’
Locus of b’
Locus of a
Locus of b
True
length
Front view length
VP
HP
Distance above HP
Apparent
inclination
with VP
True
inclination
with VP
True inclination with HP
a’
b1’
b1
aDistance in front of VP Top view length
Frontview
length
b2’
Topviewlength
b2
Distance between
end projectors
True length
TYPE - V
Distance between end projectors
Line inclined to both VP and HP
Apparent
inclination
with HP
Locus of a’
Locus of b’
Locus of a
Locus of b
True
length
Front view length
VP
HP
Distances above HP
Apparent
inclination
with VP
True
inclination
with VP
True inclination with HP
a’
b1’
b1
aDistance in front of VP Top view length
Frontview
length
b2’
Topviewlength
b2
Distance between
end projectors
True length
TYPE - VI
One end point in H.P. and the other in V.P.
Line inclined to both VP and HP
Apparent
inclination
with HP
Locus of b’
Locus of a
True length
True
length
Front view length VP
HP
Apparent
inclination
with VP
True
inclination
with VP
a1
Top view length
Frontview
length
b2’
Topviewlength
True inclination
with HP
a2
b1’
Locus of a’
Locus of b
Locus of a’
Locus of b’
Locus of b
Locus of a
VP
HPa1’
Frontview
length
b2’
Topviewlength
a2
b
Distance between end projectors
TYPE - VII
Mid-point problem
Line inclined to both VP and HP
Apparent
inclination
with HP
Locus of a’
Locus of b’
Locus of a
Locus of b
TL/2
Front view length
VP
HP
Distance
above HP
Apparent
inclination
with VP
True
inclination
with VP
True inclination with HP
a1’
b1’
b1
a1
Distance
in front of VP
Top view length
Frontview
length
b2’
Topviewlength
b2
Locus of m’
Locus of m
TL/2
TL/2
TL/2
a2
m
m’
a2’
Distance between end projectors
THE END

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Projection of lines

  • 1. ASSIGNMENT (to be submitted on 22nd Oct 2010, Friday) 1. Page 2 – Problem 4 (pentagon) – TYPE 1a 2. Page 2 – Problem 5 (square) – TYPE 1a 3. Page 3 – Problem 7 (rectangle) – TYPE 2a (find angle of inclination with V.P.) 4. University questions – No. 7 (circle) – TYPE 1b2 (find angle of inclination with H.P.) 5. University questions – No. 9 (hexagon) – TYPE 2a
  • 2. PROJECTION OF LINES Engineering Graphics I Year - CSE
  • 3. Line parallel to HP and VP True length VP HP Distance above HP Distance in front of VP a’ b1’ b1 a True length
  • 4. Locus of a’ Locus of a True length Top view length VP HP Distance above HP Distance in front of VP True inclination with HP a’ b1’ b1 a Line inclined to HP and parallel to VP
  • 5. Locus of a’ Locus of a Truelength VP HP Distance above HP Distance in front of VP True inclination with HP a’ b1’ a Line perpendicular to HP , b1
  • 6. Locus of a’ Locus of a VP HP Distance above HP Distance in front of VP a’ True length True inclination with VP b1 a Front view length b1’ Line inclined to VP and parallel to HP
  • 7. TYPE - I Locus of one end point True length True inclinations with VP and HP Line inclined to both VP and HP
  • 8. Apparent inclination with HP Locus of a’ Locus of b’ Locus of a Locus of b True length True length Front view length VP HP Distance above HP Apparent inclination with VP True inclination with VP True inclination with HP a’ b1’ b1 aDistance in front of VP Top view length Frontview length b2’ Topviewlength b2 Distance between end projectors
  • 9. TYPE - II Locus of two end points True length Line inclined to both VP and HP
  • 10. Apparent inclination with HP Locus of a’ Locus of b’ Locus of a Locus of b True length True length Front view length VP HP Apparent inclination with VP True inclination with VP a’ b1’ b1 a Top view length Frontview length b2’ Topviewlength b2 Distance between end projectors Distances above HP Distances in front of VP True inclination with HP
  • 11. Apparent inclination with HP Locus of b’ Locus of a’ Locus of a Locus of b True length True length Front view length VP HP Apparent inclination with VP True inclination with VP a’ b1’ b1 a Top view length Frontview lengthTopviewlength b2 Distance between end projectors Distances above HP Distances in front of VP True inclination with HP b2’
  • 12. TYPE - III True length Top and front view of ONE end point Top/front view of OTHER end point Length of Top/front view Line inclined to both VP and HP
  • 13. Apparent inclination with HP Locus of a’ Locus of b’ Locus of b Locus of a True length True length Front view length VP HP Apparent inclination with VP True inclination with VP a’ b1’ b1 a Top view length Frontview length b2’ Topviewlength b2 Distance between end projectors Distance above HP Distances in front of VP True inclination with HP
  • 14. TYPE - IV True length Top and front view of ONE end point Length of top AND front views Line inclined to both VP and HP
  • 15. Apparent inclination with HP Locus of a’ Locus of b’ Locus of a Locus of b True length Front view length VP HP Distance above HP Apparent inclination with VP True inclination with VP True inclination with HP a’ b1’ b1 aDistance in front of VP Top view length Frontview length b2’ Topviewlength b2 Distance between end projectors True length
  • 16. TYPE - V Distance between end projectors Line inclined to both VP and HP
  • 17. Apparent inclination with HP Locus of a’ Locus of b’ Locus of a Locus of b True length Front view length VP HP Distances above HP Apparent inclination with VP True inclination with VP True inclination with HP a’ b1’ b1 aDistance in front of VP Top view length Frontview length b2’ Topviewlength b2 Distance between end projectors True length
  • 18. TYPE - VI One end point in H.P. and the other in V.P. Line inclined to both VP and HP
  • 19. Apparent inclination with HP Locus of b’ Locus of a True length True length Front view length VP HP Apparent inclination with VP True inclination with VP a1 Top view length Frontview length b2’ Topviewlength True inclination with HP a2 b1’ Locus of a’ Locus of b
  • 20. Locus of a’ Locus of b’ Locus of b Locus of a VP HPa1’ Frontview length b2’ Topviewlength a2 b Distance between end projectors
  • 21. TYPE - VII Mid-point problem Line inclined to both VP and HP
  • 22. Apparent inclination with HP Locus of a’ Locus of b’ Locus of a Locus of b TL/2 Front view length VP HP Distance above HP Apparent inclination with VP True inclination with VP True inclination with HP a1’ b1’ b1 a1 Distance in front of VP Top view length Frontview length b2’ Topviewlength b2 Locus of m’ Locus of m TL/2 TL/2 TL/2 a2 m m’ a2’ Distance between end projectors