Theodolite - Measuring Angles

Applied Maths
11 Nov 202023:54

Summary

TLDRThis instructional script details the setup and use of a theodolite for precise angle measurements in surveying. It covers tripod leveling, theodolite mounting, and bubble level adjustments for accuracy. The tutorial explains the use of adjustment knobs for both vertical and horizontal axes, recording angles in face left and right modes to ensure calibration, and focusing techniques to minimize parallax. It also describes the use of an optical plummet for aligning the instrument over a specific point and measuring distances between surveying stations.

Takeaways

  • 🧰 Once the tripod is level, attach the theodolite using the locking screw, ensuring it's finger tight.
  • 🔧 Use the three adjustment screws to center the bullseye level, adjusting two screws together and the third separately.
  • 📐 The theodolite has a secondary bubble level for higher accuracy; align it within the markers by turning the instrument 90 degrees and repeating the adjustment.
  • 🔍 The theodolite includes an eyepiece, sight, focus rings, and several adjustment knobs for precise targeting and measurement.
  • 🔒 The vertical and horizontal adjustment knobs have locks that must be engaged for fine adjustments to work.
  • 🔢 For angle measurement, use face left and face right modes to eliminate calibration issues by averaging measurements from both modes.
  • 🔭 Focus the crosshairs through the eyepiece using a piece of paper to ensure sharpness and reduce parallax.
  • 🎯 Use the sight on top of the instrument for initial targeting, then fine-tune through the eyepiece with horizontal and vertical locks applied.
  • 📏 Record horizontal angles on the booking sheet, starting with zeroing the instrument and recording measurements at different targets.
  • 📊 Average the face left and face right measurements to calculate the final angle for further calculations.

Q & A

  • What is the first step in setting up a theodolite?

    -The first step is to ensure the tripod is level, then place the theodolite on top of the tripod using the locking screw, making sure it is finger tight but not over-tightened.

  • How do you adjust the bullseye level on a theodolite?

    -Use the three adjustment screws to bring the bullseye level into the center circle. Two screws are used together to move the bubble in or out, and the single screw is used to center the bubble directly.

  • What is the purpose of the secondary bubble level on the theodolite?

    -The secondary bubble level is set to a higher degree of accuracy and is used to ensure the instrument is set up correctly for precise measurements.

  • How do you ensure the secondary bubble level is correctly aligned?

    -Adjust the instrument using the two adjustment screws until the bubble is between the two markers. Then, turn the instrument 90 degrees and repeat the procedure using the single adjustment screw.

  • What are the functions of the adjustment knobs on the eyepiece of a theodolite?

    -The adjustment knobs on the eyepiece are used for focusing the crosshairs and adjusting the vertical and horizontal angles of the theodolite.

  • Why is it necessary to lock the vertical adjustment before making fine adjustments?

    -The vertical lock prevents the instrument from moving in a vertical manner, allowing for precise targeting of the prism and accurate angle measurements.

  • What is the significance of using both face left and face right modes when measuring angles with a theodolite?

    -Using both modes helps eliminate any calibration issues with the instrument by measuring the same angle from two different orientations.

  • How do you reduce parallax when using a theodolite?

    -Hold an A4 page in front of the lens and adjust the focus on the eyepiece back and forth until the crosshairs are sharp and in focus.

  • What is the purpose of the optical plummet on a theodolite?

    -The optical plummet allows the user to see a point on the ground directly beneath the prism, useful for setting up over a known surveying point or measuring distances between two points.

  • How do you record angles in a booking sheet when using a theodolite?

    -Record the angles in a U-shape pattern, making two measurements for each angle in both face left and face right modes. Calculate the average of the two measurements for each angle to use in further calculations.

  • What is the process for measuring the distance between two points using a theodolite's optical plummet?

    -Align the optical plummet with a known point, have a colleague mark the point on the ground, repeat at a second station, and then measure the distance between the two marked points using a tape measure.

Outlines

00:00

📐 Setting Up Theodolite and Leveling

This paragraph details the initial setup of a theodolite for surveying. It begins with leveling the tripod and securing the theodolite using a locking screw. The focus is on aligning the bullseye level to the center circle using adjustment screws, ensuring the bubble is centered for a rough measurement of the instrument's horizontal alignment. A secondary, more accurate bubble level is also discussed, which must be correctly aligned between two markers for precise measurements. The paragraph also describes the components of the digital theodolite, including the eyepiece lens, adjustment knobs, and focus rings for crosshairs and distance.

05:01

🔧 Adjusting and Locking Theodolite for Precision

This section explains the process of adjusting and locking the theodolite for precise angle measurements. It covers the use of vertical and horizontal adjustment knobs, which include inner rings for locking the instrument in place and fine adjustment knobs for targeting the prism. The importance of applying the horizontal lock before making fine adjustments is emphasized. The paragraph also describes the theodolite's digital display, optical plummet, and the method of recording angles in both 'face left' and 'face right' modes to account for any calibration issues, ensuring accurate measurements.

10:02

🎯 Targeting and Recording Angles with Theodolite

The paragraph outlines the procedure for targeting and recording angles using a theodolite. It starts with removing horizontal and vertical locks to use the site on top of the instrument to aim at the target. Once the target is aligned, locks are applied, and the eyepiece is used to focus on the object and adjust the crosshairs. The process of setting the zero angle and recording the first angle is explained, followed by rotating the instrument 180 degrees to record the angle in a 'face right' mode. The importance of using both modes to eliminate calibration errors is highlighted.

15:05

📊 Recording and Calculating Angles in Surveying

This section delves into the recording of angles in a booking sheet and the process of calculating the average of multiple angle measurements. It describes the initial setup of the theodolite, the recording of angles to two different targets, and the method of calculating the difference between two face left and two face right measurements. The average of these differences is used for further calculations, ensuring the accuracy of the surveying data.

20:06

🌐 Utilizing Optical Plumber and Distance Measurement Techniques

The final paragraph discusses the use of the optical plummet for precise point targeting and the method of measuring distances between two surveying points. It explains how to align the instrument over a known point using the optical plummet's focus and target. The technique of using a colleague to mark a point on the ground and measuring the distance between two such points using a measuring tape is also covered, providing a comprehensive guide to distance measurement in surveying.

Mindmap

Keywords

💡Theodolite

A theodolite is a precision optical instrument used in surveying for measuring angles in the horizontal and vertical planes. In the video, it is the central tool being set up and used to measure angles and distances accurately. The script describes the process of mounting the theodolite on a tripod and leveling it using adjustment screws.

💡Tripod

A tripod is a three-legged stand used to support the theodolite at a stable height and angle. The script mentions leveling the tripod before mounting the theodolite, emphasizing the importance of a stable and level base for accurate measurements.

💡Leveling

Leveling refers to the process of adjusting an instrument to a true horizontal or vertical position. The script details the use of the theodolite's adjustment screws and bubble levels to achieve a level state, which is crucial for accurate angle measurements.

💡Bullseye Level

The bullseye level is a circular level with a central bubble used to indicate when the theodolite is level. The script describes using the bullseye level to center the bubble, providing a visual aid for initial leveling before more precise adjustments are made.

💡Adjustment Screws

Adjustment screws are used to fine-tune the position of the theodolite's components to achieve the desired angle or level. The script mentions using these screws to align the bullseye level and the secondary bubble level, ensuring the instrument's accuracy.

💡Spirit Level

A spirit level, also known as a bubble level, is a tool with a bubble that indicates the levelness of an object. The script refers to a secondary spirit level on the theodolite for higher accuracy, which must be aligned between two markers for proper setup.

💡Optical Plummet

An optical plummet is a device used to align the theodolite directly over a specific point on the ground. The script describes its use for setting up over a pin or measuring distances between two points, highlighting its role in precise positioning.

💡Crosshairs

Crosshairs are the intersecting lines in the eyepiece of the theodolite that help in targeting a specific point. The script mentions adjusting the focus of the crosshairs to reduce parallax and ensure sharp targeting of the prism.

💡Prism

A prism is a reflective target used in surveying to reflect the theodolite's sight back to the instrument, allowing for accurate angle measurements. The script discusses targeting the prism for angle measurements and using it for distance measurements with the optical plummet.

💡Face Left/Right Mode

Face left/right mode refers to the orientation of the theodolite's measurement part relative to the operator. The script explains that measurements are taken first in face left mode and then repeated in face right mode to account for any calibration issues and ensure accuracy.

💡Booking Sheet

A booking sheet is a record of the measurements taken during a survey. The script describes how to fill out the booking sheet with the angles measured from different orientations (face left and face right) and how to calculate the average angle for further use.

Highlights

Setting up a theodolite involves leveling the tripod and securing the theodolite with a locking screw.

Adjustment screws are used to center the bullseye level and align the bubble within the circle for accurate leveling.

A secondary, more accurate bubble level on the theodolite requires alignment between two markers for precise measurements.

The theodolite's eyepiece includes a focus ring for adjusting the visibility of crosshairs.

Vertical and horizontal adjustment knobs allow for precise targeting of a prism or surveying point.

Locks are essential for securing the theodolite's position before making fine adjustments.

Digital display and optical plummet are integral parts of a theodolite for angle measurement and alignment.

Two measurement modes, face left and face right, are used to eliminate calibration issues in angle recording.

Parallax error is minimized by using a sharp focus on crosshairs, demonstrated by focusing on an A4 page.

The sighting method involves using a white triangle to aim at the target before locking and adjusting through the eyepiece.

Zero angle setting is crucial for accurate angle measurements, demonstrated by a double press of the zero angle button.

Recording angles involves targeting objects, using fine adjustments, and noting measurements on a booking sheet.

The booking sheet records angles in a U-shape pattern, allowing for the calculation of average angles for accuracy.

The optical plummet is used for aligning the theodolite directly over a known surveying point on the ground.

Focus adjustment is necessary for the optical plummet to ensure clear visibility of the target circle and dot.

Measuring the distance between two stations involves using the theodolite's plummet and a measuring tape.

The process of setting up and using a theodolite is critical for accurate surveying and construction projects.

Transcripts

play00:18

once our tripod is level

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we're going to take the theodolite from

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the box and offer it up to the

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top of the tripod again using the

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locking screw

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to hold it into place

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remember the lock and screw is to be

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finger tight and not to

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over tighten it now

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we're going to try and use the three

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adjustment screws to bring

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the bullseye level into

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the center circle so remember using

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these screws

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these two screws in together are out

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together

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to bring the bullseye level into

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the center and then

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using the single screw to bring the

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bubble

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directly into the center

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so again using the two adjustment screws

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in together

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right together with thumbs to bring the

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bubble in line with the circle of the

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bullseye level

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then using the single adjustment screw

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to bring the bubble into the center

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of the bullseye level

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on the theodolite we have our bullseye

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level and that's

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set up correctly but we also have a

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secondary

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bubble level here on the instrument

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itself

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this second one is set up to a higher

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degree of accuracy

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so the bubble bullseye level down here

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is kind of a rougher

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course measurement for how horizontal or

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flat the instrument is set up at

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here this instrument this spirit level

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uh bubble level here is set to a higher

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degree of accuracy

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for us to use this instrument correctly

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this

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bubble level must be set correctly in

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between

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the two markers to do that

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again you align the instrument up with

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the two adjustment screws that you're

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using

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and either in together or out together

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move the adjustment screws in this case

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by a small amount

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because the bubble level is nearly

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correct

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so that the bubble is in between

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the two markers

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once the spirit level spurt bubble

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is within the two markers we turn the

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instrument

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90 degrees

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and we repeat the procedure for getting

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this bubble

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within the two markers but this time

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we're just going to use

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the single adjustment screw

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so no matter where we turn the

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instrument it should be

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the bubble should be it should be in

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between the two markers

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just check at several locations

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given the bubble

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level time to respond

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checking it at several points

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nine instrument is set up ready to be

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used

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to describe the elements of our digital

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theodolite

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we have an eyepiece

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lens we have a site

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on top of the optic and we have

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a number of adjustment knobs on the

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eyepiece

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we have a focus ring for the crosshairs

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on the actual body of the

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optical lens we have a distance focus

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ring so whenever you're looking at your

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target you'll bring it into focus

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using the adjustment of this ring here

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we have a number of adjustment knobs

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this is a

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vertical adjustment here it comprises

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two parts

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the inner ring will lock

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the instrument so it cannot be moved in

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a vertical

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manner and you can rotate it up and down

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with the lock applied on you can no

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longer move it

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and then with the inner adjustment knob

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you can

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move the eyepiece

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up and down by small amount so you can

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target

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your prism

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exactly likewise

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this is the adjustment knob or the lock

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and the adjustment knob for the vertical

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axis

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turn it around here we have the

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adjustment knob

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for the horizontal axis so

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they apply the lock so the instrument

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can no longer

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be turned around apply it on

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and then you can use the second

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adjustment

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knob to rotate the instrument by a small

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horizontal angle

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note for these fine adjusts for the

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horizontal

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and for the vertical angle

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they will not function unless the

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horizontal lock

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is actually applied so with the

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horizontal lock off the spine adjust

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doesn't have any effect the lock has to

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be applied first

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before the any adjustment will actually

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take place we have our

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bullseye level digital display

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here we have an optical plummet

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so looking through this eyepiece

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we will actually see a point on the

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ground

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directly beneath the prism

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the theodolite like a total station has

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two ways to

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record angles what i mean by that either

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face left or face right

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initially we take angle measurements in

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the face left mode

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what i mean by that is face left

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looking through the eyepiece where is

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the

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measurement part of the instrument the

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measuring part of the instrument

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is this side here or an easier way

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to describe it is the battery pack

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upgrade pack this is the battery pack so

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wherever the battery pack

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is the measurement side of the

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instrument

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is on the other side this case looking

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through the eyepiece

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the measurement part of the instrument

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is on the

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on the left we're recording this angle

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when we look through our target

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looking at the prism recording the angle

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in a face left mode

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we will then turn to target

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our second present and record

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the angle

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once the angle has been recorded we'll

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then flip

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the instrument turn it 180 degrees

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turn the eyepiece 180 degrees so we

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target back at the

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same seconds target now

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the measurement part of the instrument

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is on the right hand side so now we are

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recording the angle in the face right

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mode

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target the prism record the angle turn

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back

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to where we initially were and target

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the prism in this case and record the

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angle

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again this is in a face right angle

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then we go to our booking sheet we can

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work out the difference between the two

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angles and

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take an average the reason for doing

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this

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is that if there is any calibration

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issues with the instrument

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by measuring it face left

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and then subsequently measuring the same

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angle

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but now in a face right mode

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angle there back to there any

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calibration issues

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will be eliminated

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so that we're using this one correctly

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we need to have

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the cross hairs that you see through the

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eyepiece and sharp focus

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this is to reduce parallax so you take

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a plane a4 page hold it

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in front of the lens and

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with the focus on the eyepiece we adjust

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it back and forth

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until the crosshairs are nice and sharp

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with the horizontal and the vertical

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locks removed

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we're going to use the site on top of

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the instrument

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to target or point towards the target

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that we are using

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so looking through the target remotely

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you'll see a little white triangle and

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we're going to aim the point of the

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triangle

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towards the target that we are using in

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this case

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it is the center of the prism then we

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can

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apply the horizontal and

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vertical locks and then move to look

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through

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the eyepiece

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looking through the eyepiece we can use

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the distance focus string

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to bring the object into focus

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and then use the horizontal

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and the vertical flame adjust

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to bring the prism

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into line

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with the target

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back to our display and we can then

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set our zero angle so a double press

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of the zero z angle we set the

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horizontal angle

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to zero removing the vertical

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and horizontal locks we can then

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move the instrument to target our second

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object

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using the site again to line it up

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before you look through the eyepiece

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apply the horizontal and vertical locks

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and then look through the eyepiece and

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use the fine adjusts

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to bring it exactly into the center of

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our second target

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in this case it's going to be a second

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prism

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looking through the eyepiece

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looking through the eyepiece using the

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distance focus

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we can bring our object into

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focus and they are using the

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line adjusts we can move the crosshairs

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so that in this case it is exactly

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in the center of the prism

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looking back at the display we can

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record our first angle

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of being 38 degrees

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43 minutes and 50 seconds

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this first angle was record as recorded

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and a face left left manner

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remember the measurement part of the

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instrument is on the left hand side

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the battery being on the right with the

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angle recorded

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remove the vertical and horizontal locks

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rotate the instrument 180 degrees rotate

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the eyepiece

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180 degrees targets

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back on the original object

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using the site

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to line you up

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approximately apply the

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horizontal

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apply the horizontal and the

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vertical locks we can then look through

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the eyepiece

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and target the

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prism exactly using the distance focus

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we can bring the prism directly into

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view

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and then using the fine adjust

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we can move the crosshair

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you can move the crosshairs exactly in

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the center of the target

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the way the instrument is set up the

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measurement part of the instrument is on

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the right hand side

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and then we can go and record the third

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angle

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third horizontal angle 118

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degrees 43 20.

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and then we're going to go back

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remove the horizontal and vertical locks

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go back and target the initial

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present in this case

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we use the site initially

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to get it lined up so you're pointing in

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the right direction

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once you're pointing approximately in

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the right direction

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you apply the horizontal

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and the vertical locks then you can look

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through the eyepiece

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and then use the fine adjusts

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to bring the crosshairs onto the target

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exactly

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using the distance focus we bring our

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target

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into focus the center of the prism then

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using the fine adjust

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we can move the crosshair target

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into the exact center of the prism

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then we can record the final angle

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which is 170 degrees

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58 minutes 30 seconds

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when we are doing our measurements there

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is a way for us

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to actually record the angles into a

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booking sheet

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initially when we set up our theodolite

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at point a we looked at the prism

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at point b and targeted the theodolite

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to prison b we would say when we fill in

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the booking sheet our instrument is at

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point station a and we observed

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our target at station b

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we zero to the satellite and here we

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record an

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angle of zero minutes zero

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zero degrees zero minutes zero seconds

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the theodolite was then rotated

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clockwise

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and targeted on our second target

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prism

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c

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and the horizontal angle recorded

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when we did that that gave us an angle

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of

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38 degrees 27

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minutes and 0 seconds

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both measurements to start off with were

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done with the

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instrument and face left mode

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the theodolite was then rotated around

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180 degrees and the eyepiece rotated

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so that you are now looking back at

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prism

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c but the instrument

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was in a face right mode

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angle recorded in that situation

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was 318 degrees

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27 minutes

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20 seconds the

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light was then rotated back to

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prism b and the horizontal angle

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recorded

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that was 180 degrees

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14 minutes and 30

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seconds so when filling in

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part of the booking table we fill it in

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first we do our two face left

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measurements

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zero it rotate

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and record the angle flip it around

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just face right record the angle

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back to the original target record the

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angle

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so you're filming in the angles

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and like a u-shape and the four cells

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to do calculations with the angles which

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angle we actually use because we've

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actually measured the angle twice

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we take the difference between the two

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face left measurements

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and write it in the red box so the

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difference between

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38 27 0 and 0

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gives you 38 degrees 27

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minutes zero seconds

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doing the same with the two face right

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measurements difference between 218

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27 20 180 1450

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the difference there is 20. there are 38

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12 30.

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you can see the two angles are

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reasonably similar

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but the angle we'd use in further

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calculations is the average

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of these two angles so type in your 27

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20 38 27 0 add to that

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the 38 12 30

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and together divided by two and the

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average of those two angles

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is 38 degrees 19

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minutes 45 seconds and

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this is the angle that would be used

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in further calculations

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on the side of the strip instrument is

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the optical plummet

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so here with the optical plummet you

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will look with your i3 here

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and with a present in the body of the

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instrument

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prism in here it will then enable you to

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look

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directly beneath the instrument

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through the locking screw to a point on

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the ground

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that is directly underneath the

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instrument

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this is used whenever you're trying to

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set up over a pin or you're trying to

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get a distance measurement between

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two points

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two rings this ring doesn't move doesn't

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adjust

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anything this ring here will bring this

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site

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that you see when you look through the

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eyepiece into focus

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previously we've used a crosshair as our

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target

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in this plummet we have a circle with a

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dot in the center so it's a slightly

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different type of target

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this adjustment ring on the outside is

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used to bring

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the focus ring

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and the target circuit dot into

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focus whenever you're looking through it

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here you can see the circular ring and

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the

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dot in the center and the dot in the

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center a sort of small ring in the

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center

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is used to align the instrument directly

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over a known point or surveying point in

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the ground

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for our measurements we want to know

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where i want to measure the

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distance between two stations so

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one way to do it is to take your foot

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and to

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gradually reduce or move your foot back

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until your top of your toe is

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at the

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center of the inner ring

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and then a colleague can mark that point

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and on the ground

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with a piece of chalk using a tip

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measure

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we can then repeat that at a second

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station

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and use a 50 meter tip measure to

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measure the distance between the two

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stations

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