Titlebook: An Excursion through Elementary Mathematics, Volume II; Euclidean Geometry Antonio Caminha Muniz Neto Textbook 2018 Springer International

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The Cartesian Method, the exposition has been built in the previous chapters—, and to the trigonometric method, which will be presented in the next chapter. As a result of such an approach, we will be able to develop certain aspects of the theory which have been postponed until here, the most notable of them being a fir

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Trigonometry and Geometry,aim at developing a set of computational tools that allow us to successfully approach metric problems for which the methods developed so far are useless. We shall refer to the systematic use of such tools in geometric problems as the ..

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Vectors in the Plane,ry. In this sense, we shall try to emphasize the use of vectors as being, at the same time, alternative and complementary to the synthetic and cartesian methods. It is within this spirit that we shall use vectors to revisit several previously obtained results; in particular, we call the reader’s att

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Proportionality and Similarity,er. We also present a series of classical results, among which we highlight the study of the Apollonius circle and the solution of the Apollonius tangency problem, the collinearity and concurrence theorems of Ceva and Menelao, and some of the many theorems of Euler on the geometry of the triangle.

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