The Elements of Euclid for the Use of Schools and Colleges (Illustrated): Comprising the First Six Books and Portions of the Eleventh and Twelfth Books With Notes an Appendix and Exercises
The Elements of Euclid for the Use of Schools and Colleges (Illustrated): Comprising the First Six Books and Portions of the Eleventh and Twelfth Books With Notes an Appendix and Exercises
Kindle Edition or EPUB + Converted PDF
نویسندگان: Isaac Todhunter, Kemirembe Prossy
جزئیات
فرمت: Kindle Edition or EPUB + Converted PDFناشر: Prokemi Publishingتاریخ انتشار نسخه الکترونیکی : August 11, 2025
The Elements of Euclid is a foundational mathematical treatise written by Euclid around 300 BC, consisting of 13 books that cover plane and solid Euclidean geometry, elementary number theory, and incommensurability. It's a systematic development of geometry starting from basic definitions, axioms, and postulates, and it's known for its rigorous proofs and logical structure.The work is organized into 13 books, each building upon the previous ones. It covers plane geometry, solid geometry, number theory, and the theory of proportions. Euclid begins with fundamental definitions of geometric objects like points, lines, and circles. Euclid introduces five postulates, which are fundamental assumptions about geometry, including the famous parallel postulate. Euclid also uses general axioms that apply to all areas of mathematics, not just geometry. The core of the Elements consists of propositions, which are theorems that are proven using the definitions, postulates, and previously proven propositions.Euclid's Elements has had a profound and lasting impact on mathematics, serving as a cornerstone of geometric understanding for centuries and influencing mathematical thought in both the Western and Islamic worlds. Some well-known concepts covered include the Pythagorean theorem, Thales' theorem, the Euclidean algorithm for finding the greatest common divisor, and the construction of regular polygons.The Elements has been incredibly influential, shaping the way mathematics is taught and understood, and serving as a model for rigorous mathematical exposition. While not entirely rigorous by modern standards, the Elements remains a valuable resource for understanding the historical development of mathematics and for exploring geometric concepts.
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