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Category Archives: Uncategorized
Dimensions and different coordinate sytems
The number of figures necessary for specifying the position of a point is called the dimension of the space. For a two dimensional space it is sufficient to use two numbers (x, y) : one specifying the position on a … Fortsätt läsa
Publicerat i Algebra, Geometri, matematik 1c, Uncategorized
Märkt coordinatesystems, dimensions
1 kommentar
Pascal’s triangle
Numerology is an old phenomenon in many cultures. It is represented both in art an buildings. Buildings are constructed according tothe Golden Section and magical quadrats can be found in eg Albrect Durer’s painting ”Melancholy”. A substantial amount of mathematics is hidden in … Fortsätt läsa
Zeno’s paradoxes
Zeno of Elea It is impossible to arrive at any destination since at first you have to travel half the distance and then half the remaining distance and so on. This means you have to travel an infinite number of … Fortsätt läsa
Masterclass in mathematics
Last week I supervised a masterclass in mathematics for 18 -years olds at Spyken Gymnasium in Lund. The subject was plane euclidean geometry. Above is a picture of the participants. Which includes memebers of the Swedish IMO team Rdio interview: … Fortsätt läsa
Chord-tangent theorem
The measure of the angle formed in the intersection between the chord of a circle and the tangent to the circle is the same as the angle at the periphery of the circle. Click here to se the proof
Kurrebo, Urshult, An Eden in Sweden
The public garden and apple orchard in Urshult Sweden.
The northernmost applefarm in the world.With a fantastic roarium.
Publicerat i Uncategorized
3 kommentarer
Normalized coordinates
If A, b, c are three non-linear points, any vector P inside the triangle ABC may be expressed in terms of vectors A, B C thus: P =xA + yB + zC with x + y + z = 0 and … Fortsätt läsa
Publicerat i Uncategorized
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Collinearity
Theorem: If A, B and C are collinear points, then the real numbers x, y, z not all zero can be found such that x + y + z = 0 xA + yB + zC = 0. and also … Fortsätt läsa
Publicerat i matematik 1c, Uncategorized
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