Engineering graphics parabola

Replies

• 

  Ramani Aswath

  You have only three defining points, two corners and mid point of the opposite side. There can be an infinite number of parabolas passing through these points.
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  omprakash patil

  Considering two cornerns and mid pt. Of opposite side there is only one possibility only single symmetric axis parabola will pass through it.
  As corner ends will be lie on rectangle side END point and opposite side mid point. Will be the vertex.
  Since we are not considering symmetric parabolas with infinite no. Of corner ends lie on rectangle side.
• 

  Ramani Aswath

  nooneperfect

  Considering two cornerns and mid pt. Of opposite side there is only one possibility only single symmetric axis parabola will pass through it.

  The only conic section uniquely defined by three points is a circle. Not true of other conic sections.
• 

  omprakash patil

  No circle.will be not possible since it is rectangle it will not fit in corner and mid pt.
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  omprakash patil

  This will be the solution i guess
• 

  Ramani Aswath

  There will be one circle that passes through the two corners of one side and the mid point of the opposite side. It will not be an inscribed complete circle but an arc. The second picture does denote one of possible infinite solutions.
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  omprakash patil

  Yup.
  But i will not say it has infinite solutions since problem statment is that it inscribe two parabolas which are in rectangle .
  So as two corners and opposite side mid pt. Is only case.
  Thx
• 

  Ramani Aswath

  nooneperfect

  So as two corners and opposite side mid pt. Is only case.

  Please go through conic sections in detail. There can be an infinite number of parabolas going through the same three points.
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  omprakash patil

  Considering only Two corner and mid pt. 8n rectangle
• 

  omprakash patil

  This can be true only as per ur point.
  But if vertex as mid point consider then its only one parabola...
• 

  Ramani Aswath

  nooneperfect

  A rectangle having 125x75 mm side inscribed with two parabolas in it with axis right angle to each other.

  I agree if the additional constraint on the vertex is put. Otherwise one can have an infinity of two parabolas with perpendicular axes passing through the specified points.
  If the vertex is the midpoint of the opposite side, then the solution is trivial. Make the vertex the origin and the axis as y axis. Then the parabola is y = ax^2. Determine a from one of the two end points and plot.
• 

  omprakash patil

  Right Sir... with above constraint this will be solutionsolution what interpretations going in my Brain.thanks a lot ... i learned so much
• 

  Ramani Aswath

  nooneperfect

  i learned so much

  Both of us learnt a lot.