Visual Solutions Developed with Graph 4.3 Software Based on a Mathematical Model for Determining the Coordinates of Brocard Points in Euclidean Geometry
Visual Solutions Developed with Graph 4.3 Software Based on a Mathematical Model for Determining the Coordinates of Brocard Points in Euclidean Geometry

Summary/Abstract: Mathematics is and will always be a fascinating subject. Learning mathematics by means of modern IT technique and the new pedagogical approaches meant to respond the 21st century educational challenges are ideas to be tackled in this article. We are now witnessing an informational explosion; a revolutionary, fast-developing technical progress and it is for this reason that it is highly needed to ask questions, to evaluate risks, to update methods, concepts and to create new learning environments. It is our responsibility to design the future that comes today in the shape of pupils/students, to transmit attitudes, behaviours and knowledge useful in this perpetual changing world. E-Learning software comes up with a complex online teaching-learning system that provides users at any stage of learning with advanced technology by means of laptops, smart phones, tablet, E-learning platforms, and internet. Experimental mathematics is getting more and more attention in engineering, therefore computerization and simulations are highly important in the teaching-learning-evaluating process, making it clearer and easier to be comprehended. The present article follows the previous ones, presenting a way of better understanding mathematical formulas, an option to the boring methods of teaching, encouraging the pleasure of experimenting in the virtual environment of educational software. The article analyses a topic in the vast domain of the Euclidean geometry, as a fundament for a future online course on this subject. In the Euclidean geometry, Brocard points are points with special properties in a triangle. They were named after Pierre René Jean Baptiste Henri Brocard (May, 12th 1845 – January, 16th 1922), the mathematician who had discovered these properties. Using the data available in the specialized literature, we propose an unique mathematical model to determine the coordinates of the Brocard points, checking everything in an app.

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