Yes you understand rightly.
The calculation is done on the triangle: top of dish - middle of dish - bottom of dish - back to top of dish.
With cosine rule and Pythagoras you get the depth.
I believe that method is easier and more accurate than measuring the depth, because:
- you don't need to 'construct' the flat face, from where to measure the depth. If that bends a little (0,5 mm), the error further on in the calculation is much bigger.
- you don't have to compensate separately for dish rim height.
- you can check easily that you have the center, by comparing measurement from top and measurement from bottom. They should be exactly the same, or you aren't at the center point.
- by measuring from the exact triangle points, when you make a small error, the error applies to the whole triangle, and is in end-effect smaller I guess.
- the measurement can be done easily with erected dish or with dish lying down, as you wish.
But I am not a technician or mathematician, so these are just my thoughts and considerations.
All calculations are done with sound mathematical (goniometric and parabolical) formulas, though.
If you give me the exact input measures, I can let my calculator calculate your dish specs for you!
BTW:
In addition to what I wrote earlier about wider than high dishes:
Of course they can also be calculated by the deepest point calculations.
However with my Triax-115 I tried to find the deepest point, using a marble, and a trackerball from a computer mouse (worked a little bit better), but I didn't get an unequivocal point as the deepest point.
So I used the calculation outcomes from that method mostly for comparison with the parabola Calculator 2.0. But if someone has a bright idea how to simply determine the exact location of the deepest point (more precise than 1 millimeter), I would be very interested!
greetz,
A33
The calculation is done on the triangle: top of dish - middle of dish - bottom of dish - back to top of dish.
With cosine rule and Pythagoras you get the depth.
I believe that method is easier and more accurate than measuring the depth, because:
- you don't need to 'construct' the flat face, from where to measure the depth. If that bends a little (0,5 mm), the error further on in the calculation is much bigger.
- you don't have to compensate separately for dish rim height.
- you can check easily that you have the center, by comparing measurement from top and measurement from bottom. They should be exactly the same, or you aren't at the center point.
- by measuring from the exact triangle points, when you make a small error, the error applies to the whole triangle, and is in end-effect smaller I guess.
- the measurement can be done easily with erected dish or with dish lying down, as you wish.
But I am not a technician or mathematician, so these are just my thoughts and considerations.
All calculations are done with sound mathematical (goniometric and parabolical) formulas, though.
If you give me the exact input measures, I can let my calculator calculate your dish specs for you!
BTW:
In addition to what I wrote earlier about wider than high dishes:
Of course they can also be calculated by the deepest point calculations.
However with my Triax-115 I tried to find the deepest point, using a marble, and a trackerball from a computer mouse (worked a little bit better), but I didn't get an unequivocal point as the deepest point.
So I used the calculation outcomes from that method mostly for comparison with the parabola Calculator 2.0. But if someone has a bright idea how to simply determine the exact location of the deepest point (more precise than 1 millimeter), I would be very interested!
greetz,
A33