The first books vol 1 A sequel of the first six books vol 2 John Casey

The Elements is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. 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.

2 vol

The first six books vol 1

A sequel of the first six books vol 2

A Sequel to the First Six Books of the Elements of Euclid, Containing an Easy Introduction to Modern Geometry, with Numerous Exercises

Dublin University Press series

Patrick A. E. Dowling

Hodges, Figgis, 1892

Length 302 pages

A Sequel to the First Six Books of the Elements of Euclid, written by John Casey, LL.D., F.R.S., is a renowned mathematical work designed as an introduction to modern geometry. [1, 2]

Key Details for the 1892 Edition

Publisher: Hodges, Figgis, & Co., Dublin (part of the Dublin University Press Series).

Edition: 6th Edition, Revised and Enlarged.

Editor: Edited by Patrick A.E. Dowling.

Content: Contains supplementary propositions to Euclid's Elements, including Theory of Inversion, Coaxal Circles, and Harmonic Section.

Key Features of the Work

Purpose: It was designed to follow the first six books of Euclid, providing an "easy introduction to modern geometry" for students.

Exercises: The 6th edition included numerous examples, often sold for 4s. 6d. or in two parts for 2s. 6d. each.

Scope: It includes chapters on the Theory of Similitude, Inversion, and Poles and Polars. .

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