Articles liés à The Elements of Euclid Books I to III With Deductions,...

The Elements of Euclid Books I to III With Deductions, Appendicies, and Historical Notes (Classic Reprint) - Couverture souple

John Sturgeon Mackay

 
9781330446317: The Elements of Euclid Books I to III With Deductions, Appendicies, and Historical Notes (Classic Reprint)

Synopsis

Explore the foundations of geometry through Euclid’s Elements, enriched with historical notes and practical insights. This edition presents the classic geometry text alongside concise appendices and deductions, helping readers see how ideas build on one another and how proofs unfold step by step.

The book collects definitions, postulates, and propositions, then adds focused notes and curated problems to deepen understanding. It emphasizes clear definitions, the language of geometry, and the logic that links theorems to their proofs. Historical notes make it easier to follow how ideas developed and who contributed to the field.

- Clear presentation of Euclid’s Elements I–III, with definitions, postulates, axioms, and propositions
- Appendices with additional propositions, loci, and deductions to extend learning
- Explanatory notes on terminology, symbols, and the evolution of geometric reasoning
- Diagrams and worked examples to illustrate key concepts without spoilers

Ideal for readers of classic mathematics, students reviewing geometry, or anyone interested in the history and structure of Euclid’s geometry.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

In this text-book, compiled at the request of the publisliers, a rigid adherence to Kobert Simsou swell-known editions of Euclid s Elements has not been observed ;but no change has been made on Euclid ssequence of propositions, and comparatively little on his modes of proof. Here and there useful corollaries and converses have been inserted, and a few of Simsou sadditions have been omitted. Intimation of such insertions and omissions has been given, when it was deemed necessary, in the proper place. Several changes, mostly, now- ever, of arrangement, have been made on the definitions. By a slight alteration of the lettering or the construction oi the figure, an attempt has been made throughout, and particularly in the Second Book, to draw the attention of the reader to the analogy which exists between certain paiis oi propositions. By Euclid this analogy is well-nigh ignored. In the naming of both congruent and similar figures, care has been taken to write the letters which denote correspondiag points in a corresponding order. This is a matter of minor importance, but it does not deserve to be neglected, as is too often the case. The deductions or exercises appended to the various propositions (riders, as they are sometimes termed) have been intentionally made easy and, in the First Book, numerous. It is hoped that beginners, who have little confidence in their own reasoning power, will thereby be encouraged to do more than merely learn the text of Euclid.
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the or

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.