Thinking in (Semi-)Circles: The Area of the Arbelos
Thinking in (Semi-)Circles: The Area of the Arbelos
I had trouble finding a good variable for this project, i thought that i could test if the area of the circle from point C to point D on different sized Arbelos. I wanted to prove that the area of the circle is the same area as the Arbelos. I didnt know how to change the sizes of the Arbelos. If you have any ideas for a different way of experimenting with Arbelos, or how to help me with how
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Investigation New Formula of an Area of an Arbelos
Investigation New Formula of an Area of an Arbelos
What is the procedure or methodology of this topic "Investigation New Formula of Area of Arbelos"?
and what is the related literature and related study of this topic?
Please Help me so that I can Defend it on my Proposal Defense this coming January..
I really need help.
Can you give me a new formula of area of an arbelos?
Re: Investigation New Formula of an Area of an Arbelos
As
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Investigation New formula on Area of an Arbelos
Investigation New formula on Area of an Arbelos
Hi! I'm asking for help how can I start conducting my research.
please help me because I am going to have a Final Defense this coming November 21, 2011.
Please help me because I can't graduate this year if I didn't do my research.
Please I'm begging you. It's an honor if you help me. Please.
and please see my file that I have attach so that you can correct it if there is some mistake on it
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Thinking in (Semi-)Circles: The Area of the Arbelos
Thinking in (Semi-)Circles: The Area of the Arbelos
could i pls hav the solution of the project 'Thinking in (Semi-)Circles: The Area of the Arbelos'.
Thanks
Sohit Singh
Re: Thinking in (Semi-)Circles: The Area of the Arbelos
[quote="Sohit":34exqwx3]could i pls hav the solution of the project 'Thinking in (Semi-)Circles: The Area of the Arbelos'.
Thanks
Sohit Singh[/quote:34exqwx3]
Why don't you explain what you are
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The arbelos is the white-shaded region between the three semicircles in the illustration at right. In this project, you'll prove an interesting method for determining the area of the arbelos.
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Math_p012

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Time Required

Short (2-5 days)

Prerequisites

Must understand the concept and method of a mathematical proof

Here is a challenging problem for anyone with an interest in geometry. This project requires background research to solve it, but it is an excellent illustration of visual thinking in mathematics.
Figure 1 below shows a series of circles (iC₁, iC₂, iC₃, ..., iC₃₀), inscribed inside an arbelos. What is an arbelos? The arbelos is the white region in the figure, bounded by three semicircles. The diameters of the three semicircles are all on the same line segment, AC,…
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Math_p011

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Time Required

Average (6-10 days)

Prerequisites

Good grasp of Euclidean geometry, a firm understanding of how to construct a mathematical proof, determination

This is an interesting geometry project that goes back to the time of Archimedes, the famous Greek mathematician. You can combine this mathematical project with computer science and take this ancient problem into the twenty-first century with a dynamic diagram using the geometry applet.
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Math_p018

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Time Required

Short (2-5 days)

Prerequisites

You should either currently be taking or have already completed a first course in geometry. You must understand the concept and method of a mathematical proof.

Geometry Applet Advanced Example
Coding Your Own Diagram: Example 2
This page will complete your introduction to the Geometry Applet by showing you how to code the diagram shown Diagram 1. For more information about the diagram itself, see:
Thinking in (Semi-)Circles: The Area of the ArbelosRead more

This a straightforward, but interesting, project in geometry. It is a good first proof to try on your own. You should be able to figure it out by yourself, and you'll gain insight into a basic property of circles.
Figure 1 below shows a semicircle (AE, in red) with a series of smaller semicircles (AB, BC, CD, DE, in blue) constructed inside it. As you can see, the sum of the diameters of the four smaller semicircles is equal to the diameter of the large semicircle. The area of the larger…
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Math_p010

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- Less Details

Time Required

Very Short (≤ 1 day)

Prerequisites

Must understand the concept of a mathematical proof

projects:
Throwing You Some Curves: Is Red or Blue Longer?
Thinking in (Semi-)Circles: The Area of the Arbelos
Chain Reaction: Inversion and the Pappus Chain Theorem
You can use the applet to create your own diagrams on your computer. The following instructions will have you working with the Geometry Applet in just three easy steps.
Download the applet:
Create a folder for working with the Geometry Applet.
Click on the following link, and save the file
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