Category Archives: mathematics

Make an intuitive extension method to draw an elliptical arc in WPF and C#

In my previous post Draw an elliptical arc in WPF and XAML, I explained how WPF makes you define an elliptical arc. Their method almost makes sense if you want draw an arc as part of a path. however, if … Continue reading

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Draw an elliptical arc in WPF and XAML

This example shows how to use XAML code to draw an elliptical arc in a WPF. The following sections explain how to specify an elliptical arc and how to draw one in XAML. Specifying an Elliptical Arc WPF provides several … Continue reading

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Graph equations while preserving aspect ratio in WPF and C#

The previous example, Graph equations entered by the user in WPF and C# shows how to graph an equation entered by the user. The user must also enter the coordinate bounds that the program should use. For example, in the … Continue reading

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Graph equations entered by the user in WPF and C#

This example uses key techniques described in several examples, mostly the following two: Use transformations to draw a graph in WPF and C# Graph equations entered by the user in C# The following two sections describe the key techniques taken … Continue reading

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Use sines and cosines to draw circles and ellipses in C#

This example shows how you can use trigonometric functions to draw circles. It’s such a basic technique that I often forget that it’s not completely obvious to everyone. Given a radius R and an angle θ, the equations x = … Continue reading

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Calculate the great circle distance between two latitudes and longitudes in C#

At a small scale, the world is relatively flat. At larger scale, however, is it roughly spherical. (Sorry flat-earthers.) That means the shortest distance between two points on the globe is not a straight line. (Unless you have amazing teleportation … Continue reading

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Solve Geometric Problems with C#

[This is a promo piece by Packt, the publisher of my book The Modern C# Challenge. It includes two of the 100 example problems and solutions in the book.] Solve Geometric Problems with C# Learn how to solve C# geometric … Continue reading

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Pingback: Code Project post “Orbital Mechanics Introduction, Part 2”

The Code Project post Orbital Mechanics Introduction, Part 2 by charles922 uses some code from my WPF 3D posts. His program lets you experiment with the following orbital parameters: Eccentricity – the eccentricity of the orbit’s ellipse. Inclination – the … Continue reading

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Find happy numbers in C#

Before I show you the code, let me explain what happy numbers are. Happy Numbers To find happy numbers, start with any integer. Replace it with the sum of the squares off its digits. Repeat the process until the numbers … Continue reading

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Draw words on a circle in WPF and C#

This example shows one way that you can draw words on a circle in WPF. Note that it does not show how to draw words where each character is rotated to follow the circle’s curve. Each word is rotated as … Continue reading

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