The First Six Books of the Elements of Euclid by John Casey
Book Contents :-
0. Introduction
1. Theory of Angles, Triangles, Parallel Lines, and parallelograms
2. Theory of Rectangles
3. Theory of the Circle
4. Inscription and Circumscription of Triangles and of Regular Polygons in and about Circles
5. Theory of Proportion
6. Application of the Theory of Proportion
7. Theory of Planes, Coplanar Lines, and Solid Angles
Appendex Prism, Pyramid, Cylinder, Sphere, and Cone
A. Modern theory of parallel lines
B. Legendre’s proof of Euclid
C. To inscribe a regular polygon of seventeen sides in a circle—Ampere’s solution simplified
D. To find two mean proportionals between two given lines—Philo’s solution
E. McCullagh’s proof of the minimum property of Philo’s line
F. On the trisection of an angle by the ruler and compass
G. On the quadrature of the circle
About this book :-
This text is a detailed and carefully updated edition of Euclid’s classic geometry text. It includes not only Euclid’s original work but also modern explanations, extra proofs, and many exercises to help students practice. The book talks about flat shapes and 3D shapes, helping students learn geometry step by step. The book covers both plane and solid geometry, making it a useful resource for anyone studying classical geometry with a more modern perspective. It serves as a gateway to the study of geometry and mathematical reasoning.
Book Detail :-
Title:
The First Six Books of the Elements of Euclid by John Casey
Publisher:
Longmans, Green, and Co.
Year:
1885
Pages:
Type:
PDF
Language:
English
ISBN-10 #:
ISBN-13 #:
License:
N\A
Amazon:
Amazon
About Author :-
The author
John Casey
was an Irish mathematician renowned for his contributions to geometry. He worked at different schools in Ireland and chose to support Catholic education. Later become professor at the Catholic University (become University College Dublin) in St Stephen’s Green. Casey authored over 25 research papers and six influential textbooks on geometry, which were widely used and well received. His notable works include A Sequel to Euclid (1881), where he introduced extensions to Euclid's theorems, and The First Six Books of the Elements of Euclid, which featured numerous exercises and was later edited by his son, Joseph. Casey was elected a Fellow of the Royal Society in 1875 and received honorary doctorates from Trinity College Dublin and the Royal University of Ireland.
Similar
Euclidean Geometry
Books