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Question
Dear Prof Azeem

en.wikipedia.org/wiki/Concentric


Other then Concentric circles, spheres. semi circles , which other circular shapes can be constructed concentric ?.



As a example - Concentric cone, Inverted Concentric cone, concentric parabola, concentric ellipse, concentric hyperbola etc ?.



Also can we also have concentric shapes for Lines shapes viz Kite, Trapezoid, Rhombus, Parallelogram etc



Thanks & Regards,
Prashant S Akerkar

Answer
Hi Prashant,

Concentric constructions can be made provided the shape has a centre.  This may be difficult in the case of a parabola, but otherwise every 2D or 3D (or nD, really) closed object can be made concentric by sharing a geometric centre.

Thanks for asking,
Azeem

Geometry

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Azeem Hussain

Expertise

I welcome your questions on algebra, 2D and 3D geometry, parabolic functions and conic sections, and any other mathematical queries you may have.

Experience

4 years as a drop-in and by-appointment tutor at Champlain College. Private tutor for dozens of clients over the past 8 years.

Publications
CALPHAD: Computer Coupling of Phase Diagrams and Thermochemistry

Education/Credentials
Bachelor of Science, Major Mathematics and Major Economics, McGill University, 2014. Diploma of Collegiate Studies; Pure and Applied Science, Champlain College Saint-Lambert, 2010.

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