The Elements of Euclid for the Use of Schools and Colleges (Illustrated)

The subject of Plane Geometry is here presented to the student arranged in six books, and each book is subdivided into propositions. To assist the student in following the steps of the reasoning, references are given to the results already obtained which are required in the demonstration. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century. Euclid's Elements has been referred to as the most successful and influential textbook ever written. It was one of the very earliest mathematical works to be printed after the invention of the printing press and has been estimated to be second only to the Bible in the number of editions published since the first printing in 1482, with the number reaching well over one thousand. For centuries, when the quadrivium was included in the curriculum of all university students, knowledge of at least part of Euclid's Elements was required of all students. Not until the 20th century, by which time its content was universally taught through other school textbooks, did it cease to be considered something all educated people had read This Original Edition Contains SIX Books: BOOK I. 1 BOOK II. 90 BOOK III. 119 BOOK IV. 184 BOOK V. 215 BOOK VI. 274 BOOK XI. 335 BOOK XII. 369 NOTES ON EUCLID'S ELEMENTS. 377 THE FIRST BOOK. 380 THE SECOND BOOK. 401 THE THIRD BOOK. 408 THE FOURTH BOOK. 417 THE FIFTH BOOK. 419 THE SIXTH BOOK. 425 THE ELEVENTH BOOK. 434 THE TWELFTH BOOK. 437 APPENDIX. 438 Read more