Geometry re-experienced Part 3

Advanced Geometry in 7 Episodes

Buy Now US$ 25.00

Thanks for your interest in this course! This engaging and interactive learning experience includes videos, quizzes, discussions, polls and other powerful lessons that will help you better understand this topic.

Buy Now US$ 25.00
Buy Now US$ 25.00

This is the 3rd part of a Continuation Course of Geometry in moving pictures or short videos, all computer generated; you can watch - free of charge - the Episodes 12 to 18 in Youtube by typing Geometry re-experienced and you can see how things are handled in this course AND you may watch the 1st Episode of this Course (no. 12) for free. So please turn in!

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Syllabus

1 Centrical dilation : boundary problem, centroid, Euler's line a.o.

After the congruence we get to know a new mapping, learn how to deal with the constructions and find intriguing applications

  1. Centrical dilation : boundary problem, centroid, Euler's line a.o.

2 Similarity : Conversion of areas, means, secants, decagon, forces

Combining the Congruence with the Dilation leads to a mapping called Similarity : we continue the steps done in the Introductory Course (Youtube) and find new captivating applications

  1. Similarity : Conversion of areas, means, secants, decagon, forces

3 Pythagoras : proof; appl.: fire ladder, distances, altitudes, heights, cube's diagonals

Here we provide a nice and convincing proof of Pythagoras' theorem and deal with some basic applications in various fields

  1. Pythagoras : proof ; fire ladder, distances, heights, cube's diagonals

4 The circle, its area and its parts : segment and sector

Till now we only used the circle with the compasses in constructions. Now it's time to ask about its perimeter and its area; both answers will be given and we get to know the famous number Pi

  1. The circle, its area and its parts : segment and sector

5 Cylinder, cone, in-depth connections and conic sections

We can generate a cylinder out of a circle and a cone out of a cylinder, so the formulae for surface and volume are being found. Intersecting the cone with a plane delivers astonishing results !

  1. Cylinder, cone, in-depth connections and conic sections

6 The sphere : we prove the formulae and explore parts of the sphere

You can see here how clever mathematicians were to find out the formulae above mentioned and we get to know some nice applications

  1. The sphere : we prove the formulae and explore parts of the sphere

7 Trigonometry : The sine function, isosceles triangles, rhombi, heights, inclined plane

Till now we could only use angles in constructions; now it's time to calculate with them in right triangles which goes hand in hand with new exciting functions as sine, cosine and tangent. Look how we enlarge our possibilities here !

  1. Trigonometry : The sine function, isosceles triangles, rhombi, heights, a.o.
Buy Now US$ 25.00
Buy Now US$ 25.00

Facilitators

Horst Malle

Als Mathelehrer, Buch- und DVD-Autor biete ich online Videokurse zur Geometrie an, damit ihr sie neu erleben und besser verstehen könnt. As a teacher of Mathematics, author of books and DVDs I offer you Video Courses to re-experience Geometry and help you to understand.