A unique series of Books and Apps for the Surveying, Engineering, GIS Professionals and aspiring Students.

The “Bearings and Azimuths 2.0” app has one primary function.

 

1 - To calculate Bearings, Azimuths and Angles in their Degrees, Minutes & Seconds native format. No conversion is needed. Grad (a.k.a. Gon) is also supported.

 

Launch the app and then tap the “Start” button.

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Bearing - Azimuth - Grad Calculations

 

Set default settings

 

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About the author/programmer

 

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Input Quick Reference

Text Based Artificial Intelligence (TBAI) interface.

A user interface using simple text to input the bearing, azimuth or grad operations.

App help menu

Reset: Clears and resets the TBAI

Last: Recalls that last data input

Calculate: The TBAI is parsed and calculates the bearing, azimuth or grad operations.

Examples

Angle and Bearing diagram

Enter each operation on a separate line in the TBAI as follows:

 

[argument1] [space] [operator] [space] [argument2]

 

Note: Use only ONE space between the arguments and operator or an error will occur.

 

The TBAI will recognize the following operations, operators and conversions:

Conversions:

 

DMS to D

D to DMS

Brg to Naz

Brg to Saz

Brg to Grad

Naz to Brg

Naz to Saz

Naz to Grad

Saz to Brg

Saz to Naz

Saz to Grad

Grad to Brg

Grad to Naz

Grad to Saz

Operators:

 

to  [Conversion]

-    [Subtraction]

+   [Addition]

x   [Multiplication]

/    [Division]

Operations:

 

Brg - Brg

Brg - Angle

Brg + Angle

Angle - Angle

Angle + Angle

Angle x #

Angle / #

The following is an example of a multiline angle and bearing operation:

The first line is an angle divided by 2.

The second line is a bearing - the result of the first line.

The third line is a bearing minus a bearing.

The fourth line is a bearing - cardinal direction.

The fifth line is the result of the fourth line - an angle.

 

Tap the ‘Calculate’ button to have the TBAI parse the input data and calculate each line in sequence.

Note: To use the result of the previous line enter a ‘Z’. Z is updated with the result for each line as temporary storage.

 

The TBAI will recognize the following directions and angles:

 

Bearings: (Ndd-mm-ddE, Ndd.dddddE) for all four quadrants

North Azimuth: (NAZdd-mm-ss, NAZdd.ddddd)

South Azimuth: (SAZdd-mm-ss, SAZdd.ddddd)

Cardinal: N, North, S, South, E, East, W, West)

Grad a.k.a. Gon (Gxx.xxxxx)

Angle: (dd-mm-ss, dd.ddddd)

 

When subtracting bearings or angles the operation is performed in a counter-clockwise direction and adding bearings or angles the operation is performed in a clockwise direction.

 

Precede any line with an apostrophe to ignore that line. i.e. 45-44-22 - 3-15-34

 

Error Message:

“Line skipped: Operation unknown!”

 

The entry as shown between the brackets [xxxx] is not formatted correctly. Check the arguments and operator to insure that they are correct. Note: There should be only ONE space between the arguments.

The Results page is as follows:

 

The default settings are displayed.

[Round: 5 ~ Unit: BRG ~ Angle: DMS]

 

See below to change the default settings.

 

The operation is shown in the [brackets] followed by the result of the operation.

 

Angle / 2

[55-21-15 / 2] = 27-40-37.50000

 

To use the result of the previous line enter the letter Z.

 

[s50-21-30e - z] which is [s50-21-30e - 27-40-37.5000] = S78-2-7.50000E

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Input Quick Reference

Reset: Clears and resets the TBAI

Last: Recalls that last data input

Save: The TBAI will save the default settings.

Examples of value settings.

Required codes and values.

Text Based Artificial Intelligence (TBAI) interface.

A user interface using simple text to input the defaults for Rounding, Unit and Angle format.

App help menu

Enter in the TBAI the three required codes. The TBAI needs these codes to set the default values needed for the Brg-Naz-Grad module.

 

The three required codes are Round, Unit and Angle. Each code name is followed by an “=“ sign then the appropriate value as such: (CODE = VALUE)

 

Round = 5      (This is for the number of decimal places to show.)

Unit = BRG    (Values can be BRG, NAZ, SAZ, GRAD)

Angle = DMS (Values can be DMS or D)

The following examples are a comparison between the HP calculator and the Brg-Naz 2.0 app. The App is much more efficient than the calculator when working with bearings and angles.

 

If an error is made on the calculator, you have to start all over. On the App you go back, fix the entry and re-calculate. You do no have to start over.

EXAMPLE 1: Solve for Local Tangent Bearing

Not counting the digit entry.

 

Calculator: 9 steps

 

Brg-Naz 2.0: 1 step

EXAMPLE 2: Find Angle between Section Lines

Not counting the digit entry.

 

Calculator: 9 steps

 

Brg-Naz 2.0: 1 step

EXAMPLE 3: Compare Record Delta to Calculated Delta given LTBin, LTBout & Delta (R).

Not counting the digit entry.

 

Calculator: 13 steps

 

Brg-Naz 2.0: 1 step

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