12 quotes
Greek mathematics reveals an important aspect of the Greek genius of which the student of Greek culture is apt to lose sight.
A History of Greek Mathematics (1921)
If one would understand the Greek genius fully, it would be a good plan to begin with their geometry.
A History of Greek Mathematics (1921)
Almost the whole of Greek science and philosophy begins with Thales.
Achimedes (1920)
The problem of doubling the cube was henceforth tried exclusively in the form of the problem of the two mean proportionals.
Achimedes (1920)
Aristotle would... by no means admit that mathematics was divorced from aesthetic; he could conceive, he said, of nothing more beautiful than the objects of mathematics.
A History of Greek Mathematics (1921)
It is... the author's confident hope that this book will give a fresh interest to the story of Greek mathematics in the eyes both of mathematicians and of classical scholars.
A History of Greek Mathematics (1921)
It is well known that the commentary of Proclus on Eucl. Book I is one of the two main sources of information as to the history of Greek geometry which we possess, the other being the Collection of Pappus.
Eudoxus was perhaps the greatest of all Archimedes's predecessors, and it is his achievements, especially the discovery of the method of exhaustion, which interest us in connexion with Archimedes.
Achimedes (1920)
Once the first principles are disposed of, the body of doctrine contained in the recent textbooks of elementary geometry does not, and from the nature of the case cannot, show any substantial differences from that set forth in the Elements.
The Thirteen Books of Euclid's Elements (1908)
In illustration of his entire preoccupation with his studies, we are told that he would forget all about his food and such necessities of life, and would be drawing geometrical figures in the ashes of the fire, or, when anointing himself, in the oil on his body.
Achimedes (1920)
It is to be feared that few who are not experts in the history of mathematics have any acquaintance with the details of the original discoveries in mathematics of the greatest mathematician of antiquity, perhaps the greatest mathematical genius that the world has ever seen.
Achimedes (1920)
For the mathematician the important consideration is that the foundations of mathematics and a great portion of its content are Greek. The Greeks laid down the first principles, invented the methods ab initio, and fixed the terminology. Mathematics in short is a Greek science, whatever new developments modern analysis has brought or may bring.
A History of Greek Mathematics (1921)