Page 28 - CITS - ED - Mechanical

ENGINEERING DRAWING - CITS

Fig 2

Exercise 2.7
Draw a rectangular hyperbola, given the position of a point on the curve. (Fig 3)

Fig 3

• Draw a rectangular hyperbola given a symptotes as OX and OY are at right angles and a point P on the curve
is 30 mm and 10 mm from OX and OY respectively.
• Draw the asymptotes OA and OB at right angles to each other and locate the given point P. (10 mm from OX
and 30 mm from OY)
• Draw the lines CD and EF passing through P and parallel to OA and OB respectively.
• Locate number of points 1,2,3 etc. (not necessarily equidistant) along the line CD.
• Join 1,2,3 etc to O and extend if necessary till these lines meet the line EF at points 1', 2', 3' etc.

• Draw vertical lines through 1,2,3 etc. parallel to EF and through 1', 2', 3' etc. parallel to CD to intersect at P ,
1
P , P etc.
2 3
A smooth curve passing through P , P , P etc. is the required rectangular hyperbola.
3
1
2

15
CITS :Engineering Drawing (Mechanical) - Exercise 2