About This Chapter
1. Who is Archimedes? - Biography, Inventions & Contributions
What follows is a brief biography of the Sicilian inventor and mathematician Archimedes. His more important contributions to science and mathematics are listed and explained, and a short quiz follows the lesson.
2. Mechanical Advantage of the Wheel & Axle
In this lesson, you will learn the definition and properties of the mechanical advantage of a wheel and axle. You will learn how to calculate the mechanical advantage, as well.
3. Basic Geometry: Concepts & Terms
Geometry is the study of shapes and the space that they inhabitant. One-dimensional geometry is concerned with distance. Two-dimensional geometry is concerned with area. Three-dimensional geometry is concerned with volume.
4. Basic Geometry: Rules & Formulas
In this lesson, we'll go over some of the basic formulas and rules in geometry, the study of shapes and space. You'll learn formulas to find the perimeter, area, volume, and surface area of two-dimensional and three-dimensional shapes.
5. What is a Plane in Geometry? - Definition & Examples
This lesson will help you understand the geometry concept of a plane. We will discuss how to name planes and look at some example problems. Then, you can check your understanding with a quiz.
6. What is a Vertex in Geometry? - Definition & Examples
In geometry, a vertex is the point where two straight rays or line segments meet. In this lesson, we will go into more detail about where vertices are found in geometry.
7. How to Find the Perimeter of an Arbelos
This lesson will explain what an arbelos is and look at examples of this shape. We will also look at a neat property of an arbelos and use it to see an easy way to find the perimeter of an arbelos.
8. Application of an Arbelos in Real Life
The arbelos shape is an extremely interesting one in both mathematics and the real world. In this lesson, we will look at the definition of this shape, some of its properties, and applications of an arbelos in real life.
9. Bicentric Quadrilateral: Definition & Properties
In this lesson, we will find out what a bicentric quadrilateral is and its properties and characteristics. We will also look at an example of using properties of bicentric quadrilaterals to find certain aspects of the quadrilateral.
10. Bimedian of a Quadrilateral
Bimedians are neat characteristics of a quadrilateral. This lesson will define bimedians of a quadrilateral and show (with proof) how they bisect each other.
11. How to Construct a Brocard Circle
In this lesson, we will explain a Brocard Circle and look at the steps of how to construct a one using its characteristics, a straight-edge, and a compass. Lastly, we will see an example to illustrate this process.
12. Circumcircle: Definition, Properties & Formula
Circumcircles show up in the world around us often. This lesson will define circumcircles, and we will look at various properties of circumcircles and some formulas we can use to better analyze these fascinating shapes.
13. How to Find the Circumcircle of a Triangle
Any triangle can be enclosed by one unique circle that touches each triangle vertex. This lesson will show how to easily construct the circumcircle of a triangle.
14. Circumradius: Definition & Formula
This lesson will discuss what a circumradius of a polygon is. We will then go on to find the length of the circumradius of a triangle and of a regular polygon using some very useful formulas.
15. How to Find the Circumradius of a Triangle
This lesson explains how to find the circumradius of a triangle We'll look at how to construct the circumradius of a triangle using a straightedge and a compass, and we'll look at a formula we can use to find its length.
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