The Gon. Our new friend

Eric,

as far as I know there's no deed for extra formatting.
129.4521 g. is wat it should read, no c and cc required. (Keep It Simple)

Let me know if you need some data to test with,
I can only deliver Trimble dc and old Leica gre files.

chr.

I wouldn't bother, the reason for the gon was to eliminate the conversion to minutes and seconds in the first place so angles could be represented by a decimal number.

What I am curious about is why 400? Is there something in the logarithms or trig tables that make 400 a good number?

Simple,100 g For Each Quadrant

To maintain N, E, S, W as primary directions.

One dislike is the loss of the beauty of a 30-60-90 triangle.

Paul in PA

Thanks Chirstof, I would like some more test data.

Vern, I get the impression 400 is used to break up the quadrants in even hundreds.

OK so I am looking too deep for an answer, I forget that the answer is always 42.

Simple,100 g For Each Quadrant

At least you still have a 100-50-50.

> I wouldn't bother, the reason for the gon was to eliminate the conversion to minutes and seconds in the first place so angles could be represented by a decimal number.
>
> What I am curious about is why 400? Is there something in the logarithms or trig tables that make 400 a good number?

Since it is a part of the metric system setting a quarter circle at value of 100 maintains the base 10 (and multiples there of) throughout the system. Also when working with trig tables one quadrant and +/- symbols is sufficient to define the entire circle.

EDIT: Also would note that four decimals provides approximately the same calculation accuracy as one second or four decimal places of a degree.

100.0000 g Is Three Times As Accurate As 90°00'00"

For example a Leica 0.3" theodolite is an 0.0001 g theodolite.

Paul in PA

Maybe you mean PRECISE??

just wunderin :-S

I'm wondering as well

You might claim that since 100 gons is the same as 90° that a gon is a small part of a circle, but gons are not more accurate than degrees. It just depends on how far you carry things out.

No, the answer is always .....

get ready for it ......

.04. 🙂

100.0000 g Is Three Times As Accurate As 90°00'00"

ACCURATE? to 0.3" Maybe the display will read that but precision and accuracy is another question.

No, the answer is always .....

.042 just sayin'B-)

I Said Accurate, I Meant Accurate

In the fields of science, engineering, industry, and statistics, the accuracy of a measurement system is the degree of closeness of measurements of a quantity to that quantity's actual (true) value.

The discussion is regarding the measurement system, not the measurements. The gon system to 4 places is more accurate than degrees/minute/seconds to 4 reported places.

The precision of a measurement system, related to reproducibility and repeatability, is the degree to which repeated measurements under unchanged conditions show the same results.

An 0.3" theodolite is more precise, than a 1" theodolite.

I was referring to the comparison of reported least count.

Paul in PA

I Have Used An 0.3" Theodolite To 0.3" Precision

Paul in PA

I Have Used An 0.3" Theodolite To 0.3" Precision

What model Leica is that? I've never heard of such a thing. I googled a little bit and found one that reads 0.3" but the specs didn't back it up.

Actually I missed that even. It's 0.3 mgon.

16 D & R As I Recall

Paul in PA

I Said Accurate, I Meant Accurate

I see 😀

100.0000 g Is Three Times As Accurate As 90°00'00"

Leica currently does make an instrument that is accurate to 0.5". Both the TM30 and the TS30 can be purchased as 0.5" or 0.15 mgrad.