Posts Tagged ‘similar’
Thursday, November 12th, 2009
How to Identify Pythagorean Triples
Description
A detailed tutorial on Pythagorean triples. Step by step tutorial including several examples of Pythagorean triples for reference.
Overview
A Pythagorean triple is a set of three numbers that make up a right triangle. They are the measure of the sides, not the measure of the angles. This you should know by looking at the name. The Pythagorean theorem deals with only the sides of the right triangle, so Pythagorean triples should also only deal with the sides of a right triangle. All the numbers must be integers, and they must be positive. They are written rather like coordinates are, in a (a, b, c) pattern. A common example is is (3, 4, 5). From any triple, any other triple can be found. If (a, b, c) is a triple, then (ka, kb, kc) also must be a triple, according to the rule of similar triangles.
Tags: angles, Geometry, integer, measure, multiple, number, positive, pythagorean, right, sides, similar, theorem, three, triangle, triples
Posted in Geometry | No Comments »
Thursday, November 12th, 2009
How to Identify Fractals
Description
A detailed tutorial on fractals. Step by step tutorial including several examples and a helpful visual example of fractals for reference.
Overview
A fractal is a geometric shape that can easily be split into parts. Each part is really just a small version of the whole. Fractals are often very rough or fractured looking shapes, which is how they got their name. The common features of a fractal is that it has a fine structure at small scales, it is an irregular shape, it is self-similar, and it has a recursive definition as well as a simple one. One of the most famous and well-known fractals is the Mandelbrot set.
Tags: fine, fractal, fractured, Geometry, irregular, Mandelbrot, parts, resursive, rough, scale, self, self-similar, shape, similar, simple, small, structure, version
Posted in Geometry | No Comments »
Thursday, October 8th, 2009
Joint Variation Explained
Description
A detailed tutorial on joint variation. Step by step tutorial including several examples of joint variation and what joint variation is for reference.
Overview
Joint variation is the same as direct variation, only it is occuring for more than one variable, while direct variation only deals with one variable. Because of the similarities, joint variation is performed in the same way as direct variation, although for two variables and not one. Joint variation can be expressed as d = r * t.
Tags: d, direct, joint, joint variation, Math, one, r, similar, similarties, statistics, t, two, variable, variation
Posted in Statistics | No Comments »
Thursday, October 1st, 2009
How to Solve Logarithms Using the Change-of-Base Rule
Description
A detailed tutorial on solving logarithms with the change-of-base rule. Step by step tutorial including several examples of how to solve logarithms using the change-of-base rule for reference.
Overview
The change-of-base rule is typically only used when solving logarithms with a calculator. It allows you to use a number besides the calculator presets. Tha change-of-base rule states that:
In this formula, b must not be equal to one, as the logarithm of one is simply zero. This formula also implies that all logarithms are similar to each other.
Tags: algebra, base, calculator, change, change-of-base, log, logarithm, Math, rule, similar, theorem
Posted in Algebra | No Comments »
Tuesday, September 29th, 2009
An Overview of Eccentricity
Description
A detailed tutorial on eccentricity. Step by step tutorial including sample problems and a visual representation of eccentricity for reference.
Overview
Eccentricity is a parameter associated with every conic section. Another way to think of it is as a measure of how much the conic section deviates from being circular. Each shape has a different eccentricity. The eccentricity of a circle is zero – because it does not deviate at all from being circular. The eccentricity of an ellipse that is not a circle is less than one but greater than zero, because it is almost a circle. The eccentricity of a parabola is one, and the eccentricity of a hyperbola is greater than one. Eccentricity plays an important part in calculations because two conic sections are only similar if they have the same eccentricity.
Tags: algebra, circle, circular, cones, conic section, eccentricity, ellipse, hyperbola, Math, measure, parabola, similar
Posted in Geometry | No Comments »
Tuesday, September 15th, 2009
Introduction to Similar Triangles
Description
A detailed tutorial on the introduction to similar triangles. Step by step tutorial including several examples of how to solve similar triangles for reference.
Overview
Similar triangles are triangles that have the exact same angles, although the lengths of the sides may be different. This is what makes them similar, and not equal. However, the sides do correspond. Corresponding sides are sides that are opposite the same angle – meaning angles that have the same measure. Something that can help you find out the missing lengths of a similar triangle is that the ratios are always the same. As long as you have all the lengths of the sides of the other triangle, you will always be able to find the missing lengths.
Tags: angles, corresponding, corresponding sides, Geometry, lengths, Math, ratios, similar, similar triangles, triangle
Posted in Geometry | No Comments »
