Kategoriarkiv: Geometri

Fraktaler i blåbärssoppa

Icke regelbundna former kan i regel beskrivas som fraktaler dvs kurvor som består av mindre kopior av sig självt. Ex är kustlinjen och moln och träd. Dimensionen för en fraktal beräknad som kvoten mellan area och sträcka behöver inte vara … Läs mer

Bild | Posted on by | Märkt , , | Lämna en kommentar

Hyperbolic functions

The hyperbolic functions have similar names to the trigonometric functions, but they are defined in terms of the exponential function. In this unit I define the three main hyperbolic functions, and sketch their graphs. I also discuss some identities relating … Läs mer

Publicerat i Geometri, Uncategorized | Märkt | Lämna en kommentar

The area of the circle

‘Minute Physics’ derives the area of the circle with a string of pearls and a ruler:

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

Conical sections

The force of gravity determines the trajectories of the celestial bodies. Mathematical analysis reveals that there are three types of trajectories possible for a body moving in a gravitational field determined by Newton’s law of gravity. If one of the … Läs mer

Publicerat i Geometri, Gymnasiematematik(high school math), matematik 2c | Märkt , , , | Lämna en kommentar

Similarity

Two triangles are similar if all the corresponding angles are equal. Then the ratios of the corresponding sides to each other are the same for both triangles. In the fig above AB/BC = DE/EF or AB/DE = BC/EF. A list … Läs mer

Publicerat i Geometri, Gymnasiematematik(high school math), matematik 2c | Märkt , , , | Lämna en kommentar

Cylindrical coordinates

Cylindrical coordinates can be considered as a hybrid between spherical coordinates and rectangular coordinates. The coordinates of a point is given by the angle between the projection of the point in the xy-plame Φ and two distances: the distance from the … Läs mer

Publicerat i Geometri, Uncategorized | Märkt | Lämna en kommentar

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 … Läs mer

Publicerat i Algebra, Geometri, matematik 1c, Uncategorized | Märkt , | 1 kommentar

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

Publicerat i Geometri, Gymnasiematematik(high school math), matematik 1c, Uncategorized | Märkt , | Lämna en kommentar

Euclidean postulates, theorems and definitions 3

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 … Läs mer

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

Euclidean postulates, theorems and definitions 2

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 … Läs mer

Publicerat i Geometri | Märkt | Lämna en kommentar