# Simple Math Working Models

Topics: Angle, Triangle, Right angle Pages: 11 (3226 words) Published: June 27, 2012
You Can prove that radius to the point of contact of a tangent is perpendicular by

Take two Iron Rings with a radius of a pin that you have like a stitching needle.. The iron rings should be at a thickness of 1 cm... Join the two rings by superimposing but not exactly, without gap. just leave a gap between the two circumference of the circle such that there is parallel gap throughout the two rings then join them at two points{one at any where and another at straight opp to the other} using m~seal. no find the center by drawing a circle with same radius with compass.(no need to measure the radius just estimate the radius by having the ring)then keep the rings on it and then take a wire make it as the diameter with the contact points as the point where you joined the two circles no try to fix a pin from the center of that dia's length then take a piece of magnet of a length 1cm and 1 cm width add a pipe or some thing to extend it so now this magneted pipe is the tangent and keep it on the rings' surface then the pin get attracted at the tangent at 90degree ....

Making a Maths Trigonometry working Model
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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

Steps:

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.

Precautions:

(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 centering.

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...