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A booklet that introduces Euclidean geometry to students with no formal mathematical background, using construction and proof as the main methods. It covers topics such as lines, angles, triangles, areas, tilings, square roots, spirals and the golden ratio.
This edition of Euclid’s Elements presents the definitive Greek text—i.e., that edited by J.L. Heiberg (1883– 1885)—accompanied by a modern English translation, as well as a Greek-English lexicon.
2 Euclidean Geometry. 2.1 Euclid’s Postulates and Book I of the Elements. Euclid’s Elements (c.300BC) formed a core part of European and Arabic curricula until the mid 20th. century. Several examples are shown below.
A PDF file that covers the basic properties of Euclidean spaces, inner products, orthogonality, and linear isometries. It also introduces some applications of Euclidean geometry, such as Fourier series and least squares.
A book on the geometry of lines and conics in the Euclidean plane, with examples, exercises and illustrations. It covers topics such as circles, general conics, centres, axes, asymptotes, tangents, normals, pole and polar, congruences and classifying conics.
The viewpoint of modern geometry is to study euclidean plane (and more general, euclidean geometry) using sets and numbers. This idea dates back to Descartes (1596-1650) and is referred as analytic geometry.
1 Introduction to Euclidean geometry 1.1 Parallelograms In what follows we suppose that we have an Euclidean space, i.e. an absolute space satisfying Euclidean parallel axiom (EPP) together with its equivalent forms [5, Theorem 17.]. akingT a plane 1
