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September 21st, 2017, 02:24 PM   #11
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And where does .31 and .0025 come from that allows you to accept the total? How is that different than just accepting .3125?
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September 22nd, 2017, 07:14 PM   #12
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One use for this is in solving triangles where you only know the angles. Since this is scaleless, you could just get the sides as ratios of perimeter, no need for external scaling factors, thus is solvable.
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September 22nd, 2017, 09:21 PM   #13
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Oh, an interesting note here,
Using this, we can actually allow computers to use tables so computing trig results only requires a single multiplication, the looked up value times the scale.

I don't know yet what the speed advantage of that would be, though I can certainly guess that the tables would take up more memory, but given our current storage sizes, that shouldn't be a problem.

Also, if you measure the sides as ratio of perimeter and angles as ratio of total angles, then,
when a side = 0, the angle opposing it also equals 0,
and when a side =.5, the angle opposing it equals 1.

I'm not certain, but I figure that might make figuring out trig functions easier.

If nothing else, it should make table lookups easier as being scale neutral, you just scale appropriately to degrees/radians, or size.
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