# Others Like “Tangent Circles and Triangles”

Showing top 20 results.
Science Fair Project Idea
 Here is a project that combines Computer Science and Mathematics. The semicircle has two tangent lines that meet at point T. You need to prove that a line drawn from A to T bisects CD. You'll also learn how to create an interactive diagram to illustrate your proof, using an applet that runs in your Web browser. If you like solving problems and thinking logically, you'll like this project. Read more
CompSci_p009
+ More Details
- Less Details
 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. Material Availability Readily available (laptop computer helpful for live demonstration) Cost Very Low (under \$20) Safety No issues
Science Fair Project Idea
 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. Read more
Math_p018
+ More Details
- Less Details
 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. Material Availability Readily available Cost Very Low (under \$20) Safety No issues
Science Fair Project Idea
 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. Read more
Math_p012
+ More Details
- Less Details
 Time Required Short (2-5 days) Prerequisites Must understand the concept and method of a mathematical proof Material Availability Readily available Cost Very Low (under \$20) Safety No issues
Science Fair Project Idea
 Here is a project that combines Computer Science and Mathematics. Prove a method for inscribing a circle within a triangle (as shown). You'll also learn how to create an interactive diagram to illustrate your proof, using an applet that runs in your Web browser. If you like solving problems and thinking logically, you'll like this project. Read more
CompSci_p004
+ More Details
- Less Details
 Time Required Short (2-5 days) Prerequisites Must understand the concept and method of a mathematical proof Material Availability Readily available (laptop computer helpful for live demonstration) Cost Very Low (under \$20) Safety No issues
Science Fair Project Idea
 Here is a project that combines Computer Science and Mathematics. Prove a method for circumscribing a circle about a triangle (as shown). You'll also learn how to create an interactive diagram to illustrate your proof, using an applet that runs in your Web browser. If you like solving problems and thinking logically, you'll like this project. Read more
CompSci_p007
+ More Details
- Less Details
 Time Required Short (2-5 days) Prerequisites Must understand the concept and method of a mathematical proof Material Availability Readily available (laptop computer helpful for live demonstration) Cost Very Low (under \$20) Safety No issues
Science Fair Project Idea
 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,… Read more
Math_p011
+ More Details
- Less Details
 Time Required Average (6-10 days) Prerequisites Good grasp of Euclidean geometry, a firm understanding of how to construct a mathematical proof, determination Material Availability Readily available Cost Very Low (under \$20) Safety No issues
Science Fair Project Idea
 When an earthquake occurs, seismic shock waves travel out through the earth from the source of the event. The shock waves travel through the earth or along the Earth's surface, and can be recorded at remote monitoring stations. Some of the waves that travel through the earth are blocked or refracted by the Earth's liquid core, which means that monitoring stations located certain distances from the earthquake do not detect these waves. This creates a "seismic shadow" that you can use to… Read more
Geo_p022
+ More Details
- Less Details
 Time Required Long (2-4 weeks) Prerequisites This project uses the Global Earthquake Explorer program to download and analyze data from a global seismic network. In order to do this project you will need to be comfortable installing and working with a new program on your computer. This project requires a computer with high speed Internet access. You will also need to understand some basic trigonometry. You should be comfortable with determining the lengths of the sides of right triangles when given an angle and the length of one side. Experience looking at seismograms is useful but not required. Material Availability Readily available Cost Very Low (under \$20) Safety No issues
Science Fair Project Idea
 Want to stretch your imagination? One good way is to try to imagine how far it is to a distant star. How much farther away is it than the moon is from the earth? How much farther away than the earth is from the sun? How long would it take to get there? In this project, you'll learn one way of measuring the distance without leaving Earth. Read more
Astro_p019
+ More Details
- Less Details
 Time Required Short (2-5 days) Prerequisites You will need a telescope for this project. Experience with geometry is recommended for this project (you need to understand similar triangles). Material Availability Readily available Cost Very Low (under \$20) Safety No issues
Science Fair Project Idea
 You've probably noticed the colorful patterns "reflecting" from the shiny surface of a CD disk. What you are seeing is actually diffraction of white light, and the rainbows of color are diffraction patterns. In this project you'll learn about how diffraction patterns are generated, and you'll find out how you can use a laser pointer and a protractor to measure the microscopic spacing of data tracks on a CD. Read more
Phys_p011
+ More Details
- Less Details
 Time Required Very Short (≤ 1 day) Prerequisites None Material Availability Readily available Cost Low (\$20 - \$50) Safety Adult supervision recommended. Even low-power lasers can cause permanent eye damage. Please carefully review and follow the [# ProjectGuide Name="Advanced.LaserSafetyGuide" Value="HtmlAnchor" #].
Science Fair Project Idea
 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… Read more
Math_p010
+ More Details
- Less Details
 Time Required Very Short (≤ 1 day) Prerequisites Must understand the concept of a mathematical proof Material Availability Readily available Cost Very Low (under \$20) Safety No issues
Search Refinements
Areas of Science
Behavioral & Social Science
Earth & Environmental Science
Engineering
Life Science
Math & Computer Science
Physical Science
Difficulty

Cost
Time
Material Availability