Introduction
Problem # 1
Problem # 2
Problem # 3

**PROBLEM 1** :
Line AB 75 mm long makes 45^{o} inclination with Vp while it’s Fv makes 55^{o} .
End A is 10 mm above Hp and 15 mm in front of Vp. If line is in 1st quadrant
draw it’s projections and find it’s inclination with Hp.

**Construction**

**Step 1.** Draw x-y line.
Draw one projector for a’ & a
Locate a’ 10 mm above x-y &
Tv a 15 mm below xy.

**Step 2.** Draw a line 45^{o} inclined to xy
from point a and cut TL 75 mm
on it and name that point b_{1}
Draw locus from point b_{1} .

**Step 3.** Take 55^{o} from a’ for Fv
above xy line.
Draw a vertical line from b_{1}
up to locus of a and name it 1.
It is horizontal component of
TL & is LFV.

**Step 4.** Continue it to locus of a’ and
rotate upward up to the line
of Fv and name it b’.This a’ b’
line is Fv.

**Step 5.** Drop a projector from b’ on
locus from point b_{1} and
name intersecting point b.
Line a b is Tv of line AB.
Draw locus from b’ and from
a’ with TL distance cut point b_{1}‘

**Step 6.** Join a’ b_{1}’ as TL and measure
it’s angle at a’.
It will be true angle of line with HP

**PROBLEM 2** : Fv of line AB is 50^{o} inclined to xy and measures 55 mm long while it’s Tv is 60^{o}inclined to xy line.
If end A is 10 mm above Hp and 15 mm in front of Vp, draw it’s projections,find TL, inclinations of line with Hp & Vp.

**
Construction**

**Step 1.** Draw xy line and one projector.
Locate a’ 10 mm above xy and
a 15 mm below xy line.

**Step 2.** Draw locus from these points.

**Step 3.** Draw Fv 50^{o} to xy from a’ and
mark b’ cutting 55 mm on it. Similarly draw Tv of 60^{o} to xy
from a & drawing projector from b’
Locate point b and join a b.

**Step 4.** Then rotating views as shown,
locate True Lengths ab_{1} & a’b_{1}’
and their angles with Hp and Vp.

**PROBLEM 3** : Fv of line AB makes 45^{o} with XY line and measures 60 mm.
Line’s Tv makes 30^{o} with XY line. End A is 15 mm above Hp and it’s VT is 10 mm
below Hp. Draw projections of line AB, determine inclinations with Hp & Vp and locate HT, VT.

**Construction**

**Step 1.** Draw xy line, one projector and
locate fv a’ 15 mm above xy.

**Step 2.** Take 45^{o} from a’ and
marking 60 mm on it locate point b’.

**Step 3.** Draw locus of VT, 10 mm below xy
& extending Fv to this locus locate VT.
Draw projector from vt, locate v on xy.

**Step 4.** From v take 30^{o} downward as
Tv and it’s inclination can begin with v.
Draw projector from b’ and locate b i.e.Tv point.

**Step 5.** Now rotating views as usual TL and
it’s inclinations can be found.
Name extension of Fv, touching xy as h’
and below it, on extension of Tv, locate HT.