My Math Forum Bounding Box of Developed Cone Segment

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October 25th, 2019, 12:09 PM   #1
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Joined: Nov 2009
From: Hamilton, Ontario

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Bounding Box of Developed Cone Segment

Hello,

Is it possible to compute the bounding rectangle of the conical shape
shown in the attached jpg?

Edit:
I had to zip jpg because it exceeded allowable file size
Attached Files
 Cone.zip (50.7 KB, 3 views)

October 25th, 2019, 12:57 PM   #2
Senior Member

Joined: Jun 2019
From: USA

Posts: 386
Thanks: 211

It is possible. With some simple trigonometry, it is very simple. Hopefully this drawing will help give you everything you need.

$L_1$ and $L_2$ are the lengths along the outside of the cone starting from the vertex. Note that $L$ is proportional to the radius at any given height.
Attached Images
 ConicSection.jpg (10.1 KB, 0 views)

 October 25th, 2019, 01:57 PM #3 Member   Joined: Nov 2009 From: Hamilton, Ontario Posts: 32 Thanks: 0 Thank you! That looks like what I need to get me on my way. Last edited by skipjack; October 26th, 2019 at 03:34 AM.

 Tags bounding, box, cone, developed, segment

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