Maths problems and equations (Geometry)

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Presentation transcript:

Maths problems and equations (Geometry) Veronika Havlíková, 3.C

What is Geometry? Geo - "earth", metron - "measurement". One of the oldest mathematical disciplines. Shapes and their properties. The beginning in Paleolithic age. Connection with the algebra and physics.

Basic terms Point Line Line segment Parallel lines Perpendicular lines Circle

Example Assignment: We have a line segment AB 3 cm long. Construct all the triangles ABC, for which the line segment AB is the side c and which comply with the following: vc = 3 cm, tc = 4 cm Analysis:

Example C C´ S A B 1) ‌‌‌AB; │AB│ = 6 cm Process of construction: 1) ‌‌‌AB; │AB│ = 6 cm 2) p, p ││ c (at a distance of 3 cm) 3) k, k (S, 4 cm) 4) C, C ∈ p 5) ∆ ABC Construction: Y k C C´ p S A B

Example Conclusion: The case has two solutions. - ∆ ABC - ∆ ABC´

Links http://www.matweb.cz/kategorie-geometrie https://en.wikipedia.org/wiki/Geometry http://www.aplusmath.com/games/geoterms.html http://cs.wikipedia.org/wiki/Geometrie http://library.thinkquest.org/2647/geometry/glossary.htm PETÁKOVÁ, J. Matematika - příprava k maturitě a k přijímacím zkouškám na vysoké školy. 1st ed. 2007. ISBN 978-80-7196-099-7.

Thank you for your attention.