Author Archives: mattelararen

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About mattelararen

Licentiate of Philosophy in atomic Physics Master of Science in Physics

Euclidean postulates, theorems and definitions 3

Publicerat den augusti 2, 2012 av mattelararen

Geometri teorem den 29 juli 2012 00:02 Om två vinklar är vertikalvinklar är de båda vinklarna lika stora. (If two angles are vertical angles then the two angles are congruent.) Två trianglar är kongruenta (likadana) om två sidor och mellanliggande … Fortsätt läsa →

Publicerat i Geometri, Gymnasiematematik(high school math) | Märkt , | Lämna en kommentar

Euclidean postulates, theorems and definitions 2

Publicerat den augusti 2, 2012 av mattelararen

1. The sum of the measures of the four interior angles of a convex quadrilateral is 360 degrees, a constant. Two triangles are congruent (i.e. identical) if two angles and a non- included side of the first triangle are congruent … Fortsätt läsa →

Publicerat i Geometri | Märkt | Lämna en kommentar

Heron’s formula

Publicerat den juli 29, 2012 av mattelararen

Heron who invented rhe first steam device also came up with a geometry formula. The circumference p of a triangle is related to the sides of of the triangle a,b and c and the trianglearea T through T = √ … Fortsätt läsa →

Publicerat i Geometri, Gymnasiematematik(high school math) | Märkt | Lämna en kommentar

Some geometric theorems: Menelao’s, Ceva’s, Simson’s line and Stewart’s

Publicerat den juli 28, 2012 av mattelararen

In Linneus backyard: Möckelsnäs manor house, Älmhult The Italian mathematician Giovanni Ceva’s published in 1678 Menalao’s theorem and that which is credited to him. Use Menlao’s theorem for collinearity and Ceva’s theorem för concurrency. Menelao’s theorem (named after MEnelaos from … Fortsätt läsa →

Publicerat i Geometri | Märkt | Lämna en kommentar

Kurrebo, Urshult, An Eden in Sweden

Publicerat den juli 22, 2012 av mattelararen

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.

Fortsätt läsa →

Publicerat i Uncategorized | 3 kommentarer

Definition of groups

Publicerat den juli 19, 2012 av mattelararen

A group in mathematics has the following properties: There exist a set of elements p, q, r, …  and a binary operation which applied to p, q gives pq. The set is closed under this single-valued operation.  The associative law: … Fortsätt läsa →

Publicerat i Algebra | Lämna en kommentar

Normalized coordinates

Publicerat den juli 14, 2012 av mattelararen

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 →

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Collinearity

Publicerat den juli 10, 2012 av mattelararen

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 | Lämna en kommentar

More vector algebra

Publicerat den juli 7, 2012 av mattelararen

A clever way to express the equation of a line is to use the parameter form. If C is any point on the line determined by two points a and B then we may always write C = (1-t) A … Fortsätt läsa →

Publicerat i matematik 1c, Uncategorized | Lämna en kommentar

Venus transit in H- alpha

Publicerat den juli 6, 2012 av mattelararen

Picture of Venus transit photographed with an Hα- filter. λ = 6566 A. Resolution 1 A. In this picture it is possible to cpmåare the size of the Earth to that of the Sun since Venus is of the same … Fortsätt läsa →

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