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Area Calculations

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(@jacob-wall)
Posts: 127
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Hello,

Wondering if anyone on this forum may know of a good reference book or document that covers pre-determined area calculations. I'm talking about 'sliding bearing', 'hinge point', 'swing into line', etc. Back in college there was some instruction on dividing a parcel into two equal areas, but from what I recall it was taught on the white board, no textbook involved. I seem to remember using the quadratic equation to solve some of the unknowns... I haven't sat down to try and just figure it out, at least not yet.

I know, my CAD software can do this for me, and it often does, but now I am curious about the math. There must be a reference out there somewhere I'm sure, yet Google and Bing can't understand my search terminology or I'm asking for the wrong stuff, or it really is that narrow of a topic that there simply isn't much information on the internet about it.

I saw a few posts recently where some of you were selling old books, this got me thinking that perhaps this forum could very well be the best place to inquire on such seemingly obscure queries.

Jacob

 
Posted : December 20, 2012 11:14 pm
(@a-harris)
Posts: 8761
 

Google Search DMD area computations (double meridian distance). This is the method I used during my state exam since we could only have a simple trig unprogramable calculator.

It is also the official method in Texas.

As for as calculating predetermined areas, I've used the triangle function calculations to obtain areas in the field.

😉

 
Posted : December 21, 2012 2:28 am
(@ralph-perez)
Posts: 1262
 

> Hello,
>
> Wondering if anyone on this forum may know of a good reference book or document that covers pre-determined area calculations. I'm talking about 'sliding bearing', 'hinge point', 'swing into line', etc. Back in college there was some instruction on dividing a parcel into two equal areas, but from what I recall it was taught on the white board, no textbook involved. I seem to remember using the quadratic equation to solve some of the unknowns... I haven't sat down to try and just figure it out, at least not yet.
>
> I know, my CAD software can do this for me, and it often does, but now I am curious about the math. There must be a reference out there somewhere I'm sure, yet Google and Bing can't understand my search terminology or I'm asking for the wrong stuff, or it really is that narrow of a topic that there simply isn't much information on the internet about it.
>
> I saw a few posts recently where some of you were selling old books, this got me thinking that perhaps this forum could very well be the best place to inquire on such seemingly obscure queries.
>
> Jacob

I may be able to help you. Shoot me an email.

Ralph

 
Posted : December 21, 2012 2:43 am
(@jeff-opperman)
Posts: 404
Registered
 

I drew this area cutoff sheet in 1981 to help me learn different area cutoff techniques and hopefully it is what you are looking for and it will help you.

The next two sheets were passed down to me in 1979 and was drawn by someone with the initials "J.T.L." on 12/26/42. He obviously had quite a bit of time on his hands.

Math is one of the few things that doesn't change and what rang true 70 years ago is still true today. Sorry for the less than perfect copies, if you need better copies, let me know and I will see what I can do.

 
Posted : December 21, 2012 4:42 am
(@ralph-perez)
Posts: 1262
 

Hey Jeff
I remember you sending me those charts about 10 years ago. Still have em
Thanks

 
Posted : December 21, 2012 5:53 am
(@jimmy-cleveland)
Posts: 2812
 

Thanks for the images.

I seem to remember having the circular images. I don't think I had the first one.

Thank you for sharing. This board is awesome.

 
Posted : December 21, 2012 6:31 am
(@jim-frame)
Posts: 7277
 

> Math is one of the few things that doesn't change and what rang true 70 years ago is still true today.

Wait, you mean you haven't upgraded to Math 2013 yet? Good Lord, there's no telling what sort of erroneous calculations you're putting into circulation.

Rather than upgrading your Math every few years, I recommend getting the Math subscription. That way you know your calcs are always current, and it only costs $500 per year. And remember, Math 2013 is backward-compatible -- it can read all your prior calculations!

 
Posted : December 21, 2012 6:46 am
(@shawn-billings)
Posts: 2689
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:good:

 
Posted : December 21, 2012 6:54 am
(@shawn-billings)
Posts: 2689
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I drew up a couple of area charts like that for figuring out how to program a predetermined area calculation a few years ago, but nothing that thorough. That's good stuff, Jeff.

 
Posted : December 21, 2012 6:55 am
(@jacob-wall)
Posts: 127
Registered
Topic starter
 

Thanks Jeff,

I think the image quality should be fine. I will study those as soon as I have some time. Great stuff!

Jacob

 
Posted : December 21, 2012 7:08 am
(@adamsurveyor)
Posts: 1487
 

> Wait, you mean you haven't upgraded to Math 2013 yet?

:good: 😀

Er....If you're looking for the official retail sales product, you're a little late (Of course the bugs won't be worked out, and you need to pay the annual support fees to get the corrections as they come out).

If you're waiting for the official blm or ngs "Math 2013" the authorized final papers will be published after 2020. 😉

 
Posted : December 21, 2012 7:12 am
(@scott-mclain)
Posts: 784
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:good:
> Math 2013
Was going to ask if this was a MicroSoft product, but then I saw it uprades for $500 per year, obviously it must be Autodesk. 😉

 
Posted : December 21, 2012 10:00 am
(@charles-l-dowdell)
Posts: 817
 

In my Surveying Pac 1 manual for my HP 97 calculator, there are the formulas that were were used for the programs in the problem solving cards. Those for determining a predetermined area are listed.

 
Posted : December 21, 2012 10:11 am
(@lamon-miller)
Posts: 525
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I had a book "Mathematics of Land Surveying" by Ted Madson I seem to remember they had a step by step example showing how to do area cal. by hand

 
Posted : December 21, 2012 10:48 am
(@charles-l-dowdell)
Posts: 817
 

I have his book, but never looked or thought about looking in it to see what he showed. Thanks for reminding me what I have in my library for reference.

 
Posted : December 21, 2012 11:05 am
(@jacob-wall)
Posts: 127
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Topic starter
 

Hello Charles, thanks for that information. Would you happen to know whether there is a PDF copy of that Surveying Pac manual available somewhere?

Lamon, searching for "Mathematics of Land Surveying" by Ted Madson brought up his LinkedIn profile, which linked to this page The "Big Blue" Math book! I just placed the order for that book.

Jacob

 
Posted : December 21, 2012 3:33 pm
(@jacob-wall)
Posts: 127
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Topic starter
 

Shawn, that's what I will ultimately be moving towards as well, programming the calculations. If you have any pointers or suggestions that helped you along the way I would be glad to hear them.

Jacob

 
Posted : December 21, 2012 3:47 pm
(@charles-l-dowdell)
Posts: 817
 

No PDF that I know of. I notice that the manual is copyrighted though, so I would assume that copying it or any portion from it would need Hewlett-Packard's approval.

 
Posted : December 21, 2012 4:38 pm
(@m-h-taylor-2-2-2-2)
Posts: 260
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:good:

Best wishes for the season and onward from it--

M & H

 
Posted : December 21, 2012 8:32 pm