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A line AB is 75 mm long A is 50 mm in front of VP and 15 mm above in front of
VP and is above HP Top View of AB is 50 mm long Draw and measure the
Front View. Find the true inclinations.
A is 15 mm above and 50 mm in front of VP. Therefore mark a' 15 mm above
XY and a 50 mm below XY.
To draw Top View, given Top View length
B is 15 mm in front of VP. Therefore draw a horizontal line 15 mm below XY to
represent the locus of b
The top view of the line is 50 mm. Hence with an as a center and 50 mm as
radius, draw an are to intersect locus of b at b. Now ab is the Top View of the
given line.
To find True Inclination with HP (θ)
a as center and ab as radius draw an are to meet the horizontal drawn through
a at b1.
True Length is given as 75 mm. Therefore with a’ as a center and 75 mm as
radius, draw an arc to intersect the projector drawn from b1 at b1’.
Join a' b1’. Measure θ = 480.
Front View
Draw a horizontal line through b1’ to represent the locus of b’
From b draw a projector to intersect the locus of b' at b’.
Join a b' which is the Front View of the given line. a' b' = 66 mm.
To find True Inclination with VP (ф)
See Fig. a as center and 75 mm as radius cut a point by on the locus of b.
Join a b2
Measure = 28.
Line Inclined to Both HP and VP @ Problem V

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Line inclined to both HP and VP

  • 1. A line AB is 75 mm long A is 50 mm in front of VP and 15 mm above in front of VP and is above HP Top View of AB is 50 mm long Draw and measure the Front View. Find the true inclinations. A is 15 mm above and 50 mm in front of VP. Therefore mark a' 15 mm above XY and a 50 mm below XY. To draw Top View, given Top View length B is 15 mm in front of VP. Therefore draw a horizontal line 15 mm below XY to represent the locus of b The top view of the line is 50 mm. Hence with an as a center and 50 mm as radius, draw an are to intersect locus of b at b. Now ab is the Top View of the given line. To find True Inclination with HP (θ) a as center and ab as radius draw an are to meet the horizontal drawn through a at b1. True Length is given as 75 mm. Therefore with a’ as a center and 75 mm as radius, draw an arc to intersect the projector drawn from b1 at b1’. Join a' b1’. Measure θ = 480. Front View Draw a horizontal line through b1’ to represent the locus of b’ From b draw a projector to intersect the locus of b' at b’. Join a b' which is the Front View of the given line. a' b' = 66 mm. To find True Inclination with VP (ф) See Fig. a as center and 75 mm as radius cut a point by on the locus of b. Join a b2 Measure = 28. Line Inclined to Both HP and VP @ Problem V