Construct Parabola Hyperbola Engineering Graphics

Engineering Graphics
ENGINEERING CURVES
PARABOLA
Rectangle Method
Tangent Method
Directrix-focus Method
HYPERBOLA
Rectangular Hyperbola
Directrix Focus Method

1. Engineering Graphics
ENGINEERING CURVES
PARABOLA
Rectangle Method
Tangent Method
Directrix-focus Method
HYPERBOLA
Rectangular Hyperbola
DirectrixFocus Method

2. 1
2
3
4
5
6
12345
6
1
2
3
4
5
6
54321
PARABOLA
RECTANGLE METHOD
Problem1:
Aballthrowninair
attains100mheight
andcovershorizontal
distance150mon
ground.
Drawthepathof
theball(projectile)
Scale:
1cm=10meter
150 m = 15 cm
100 m

3. 100mm
A
B
Problem 2:
Draw a parabola by
tangent method given
base 100mm and axis
50mm
50mm
1
2
3
4
5
6
1’
2’
3’
4’
5’
6’
E
F
O
Take scale 1cm = 1cm
50mm

4. C
A B
PARABOLA
METHOD OF TANGENTS
Problemno.3:
Drawanisosceles
triangleof100mm
longbaseand
110mm long
altitude.Inscribea
parabolainitby
methodoftangents.

6. A
B
V
PARABOLA
(VERTEX)
F
( focus)
1 2 3 4
PARABOLA
DIRECTRIX-FOCUS METHOD
PROBLEM4:PointF
is50mmfroma
verticalstraightline
AB. Construct
Parabola.
DrawlocusofpointP,
movinginaplanesuch
thatitalwaysremains
equidistantfrompoint
FandlineAB.
O
P
1
P
1

7. P
O
40 mm
30 mm
1
2
3
12 1 2 3
1
2
RECTANGULAR HYPERBOLA
THROUGH A POINT
OF KNOWN CO-ORDINATES
Problem
no.5:
PointPis40
mmand30
mm from
horizontal
andvertical
axes
respectively.
Draw
Hyperbola
throughit.

8. F ( focus)
V
(vertex)
A
B
30mm
HYPERBOLA
DIRECTRIX
FOCUS METHOD
PROBLEM6:-POINTFIS
50MMFROMALINEAB.A
POINTPISMOVINGINA
PLANESUCHTHATTHE
RATIOOFIT’SDISTANCES
FROMFANDLINEAB
REMAINSCONSTANT
AND EQUALS TO3/2
DRAWLOCUSOFPOINTP.
{ECCENTRICITY=3/2}