Making a Maths Trigonometry working Model

Posted Date:     Total Responses: 0    Posted By: Nishant Rai   Member Level: Silver   Points/Cash: 30   

Design of Theodolite:

This model is a working model and you should read this if you are searching for a quick maths model to make. Its related to trigonometry. The name of this device is theodolite. It has the same use as that of a clinometer but it is made differently. I
A theodolite is an instrument used for determining the horizontal and vertical angles between two points.

Material Required

• Protractor
• Piece of wood or cardboard wider than the protractor
• Push pin or nail
• Hammer (optional)
• String
• Small weight


1. Align the center of the flat edge of the protractor with the centre of the
long edge of the wood or cardboard.

2. Firmly attach the protractor to the wood or cardboard using the push pin
or nail. Push the push pin or nail in by hand or use a hammer.

3. Avoid breaking the protractor or shifting it out of position.

4. Attach the weight to one end of the string. Attach the other end of the
string to the push pin or nail.


(i) Take Thinner string to read the angle more accurately when using the
theodolite. Use of tangent table, will simplify the use of the theodolite.

(ii) Homemade theodolites should not be used with precision is crucial, as in
engineering or survey.

Making Observations with the theodolite

Procedure for setting up:

1.Set the tripod over the survey point with the head level and legs making about
a 70-degree angle with the ground. Mount the theodolite on the tripod.

2. Secure the front tripod leg and move the two other legs to center the
theodolite by using the plumb bob. Secure the back two legs.

3.Adjust the length of one leg of the tripod at a time, while keeping the other
two still. Use the plumb bob to level the circular bubble without disturbing the

4.Rotate the theodolite on the tripod head until its plate bubble is parallel to any two footscrews. Adjust those two footscrews to center the bubble.

5.Rotate the theodolite body 90 degrees to the left. Center the bubble with the
third footscrew. Repeat until the bubble is centered for all four positions.

6.Loosen the tripod screw. Rotate the theodolite body around until centered over
the survey point, then tighten the screw. Repeat the leveling process until the
theodolite is level and centered.

To observe any angle, either horizontal or vertical, made by two objects with the position occupied by the instrument all that is required is to bring one object into focus with the telescope center, clamp the lower plate in that position, read the bearing or angle made by the adjoining plate, and swing the telescope to the second object. The top plate turns with the telescope, and on reading the bearing now made by the two plates, the angle traversed by turning the telescope from one object to the other may be read off the scale. To place a number of marks or stations in any given direction the horizontal plates are clamped together, the telescope pointed in the desired direction and then moved vertically and focused on each mark as required.

Although the theodolite looks like a difficult instrument to use, its basic concept is very simple. The surveyor would begin by picking a distinct point in the distance. After centering the theodolite over the primary point of interest, the surveyor would use the eye piece to align the sight axis with the point of interest in the distance. Next the surveyor would zero the horizontal and vertical axes graduated circles. Finally the surveyor would move the sight axis using the eye piece to the final point of interest and determine the horizontal and vertical angles between the points. With this known angle and the triangulation principle, the distance between each of the three points may be determined.

See, told you that if you understand it is quite easy to use. One major difference between the clinometer and theodolite is that theodolite is used in professional using ( NOT THIS ONE ::: THIS ONE IS HOMEMADE). THEY USE THE DIGITAL ONES.

Hope this helps you. Bye.

Project Feedbacks

Author: Member Level: BronzeRevenue Score: 1 out of 5
can you please show the pic of this model after it is completed

Author: Member Level: BronzeRevenue Score: 2 out of 52 out of 5
Hi, the project was good one . I understand it easily. This type of project make math easy to me yogesh hb

Author: Member Level: BronzeRevenue Score: 2 out of 52 out of 5
Hi, the project was good one . I understand it easily. This type of project make math easy to me yogesh hb

Author: Member Level: BronzeRevenue Score: 2 out of 52 out of 5
Hey Nishant,
Your project was really understandable. Infact this one is the only project I could understand just by reading it once....

Good work Keep it up!

Author: Member Level: BronzeRevenue Score: 1 out of 5

Author: Member Level: BronzeRevenue Score: 2 out of 52 out of 5
your project is very good and easily understandable,
keep it up your work is good,it wiil helf us a lot.

Regards & thanx.

Author: Member Level: GoldRevenue Score: 2 out of 52 out of 5
your project is nice and is easily understandable.

Continue your work as a mathematician.

I wish you all sucess

Author: Member Level: SilverRevenue Score: 1 out of 5
Nice one.Easy to understand.Good narrative style.Defenitly it is a good help for students.

Author: Member Level: GoldRevenue Score: 1 out of 5
Nice to see this with detailed information its understandable for us.

Author: Member Level: SilverRevenue Score: 2 out of 52 out of 5

Your project is good to understand. Even a tenth class student can understand this one very nice one I liked this one so much

keep on posting like this one.


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