[Jewelry making - Article 00307] - Re: [Orchid] Creating a cone

[leonid surpin]

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>>    Start with the disc of the radius slightly larger to the length of
>>    the side of the cone ( not the cone height) 

>     Could you explain this further for me. Seems to me that the length
>     of the cone is the same as the height. I'm mathematically
>     challenged :-). 

    Imagine that we cut a cone in two equal parts starting at cone vertex
    and down through the base. Looking straight at that plane (
    cross-section ) we would see a shape which is a triangle, where the
    base of such triangle would equal to the diameter of the base of the
    cone. 

    If we drop a normal ( perpendicular line ) from the vertex to the
    base, now we created 2 right ( triangle where one corner is 90
    degrees ) triangles. 

    The length of the side of the cone is the hypotenuse of the above
    described triangle, while the height of the cone is the normal from
    the vertex to the base of the cone. The length of the cone can be
    calculated using Pythagorus theorem which states that C^2 = A^2 +
    B^2. C is a hypotenuse of a right triangle, while A and B are sides.
    Applied to the cone: 

    The length of the cone = Square root of [ (height of the cone
    multiplied by itself ) + ( diameter of the base of the cone divided
    by 2 and the result multiplied by itself ) ] 

Leonid Surpin.
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