Euclid's Book on Divisions of Figures by Archibald, Euclid, Fibonacci, and Woepcke

(3 User reviews)   3476
By Abil Kile Posted on Nov 15, 2025
In Category - Neval
Woepcke, Franz, 1826-1864 Woepcke, Franz, 1826-1864
English
Okay, hear me out. This isn't just a dusty geometry book. It's a literary detective story. The original text by Euclid is lost—gone for over a thousand years. This book is about the wild chase to piece it back together from fragments and translations by scholars across centuries. Think of it: Arab mathematicians preserving Greek knowledge, a medieval Italian merchant (Fibonacci!) getting involved, and a 19th-century German historian trying to solve the final puzzle. It's a book about how ideas survive against all odds. If you like hidden histories or stories of intellectual obsession, you need to check this out.
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Chapter XIII. The Christian Church And The Greek Philosophy. Part I. Chapter XIV. The Christian Church And The Greek Philosophy. Part II. Index. Footnotes PREFACE. In the six chapters forming the first volume of this work I was engaged in describing the operation of Christianity, as it took the individual human soul for its unit, purified it, and wrought in it a supernatural life. I began with the consummation of the old world in its state of the highest civilisation united with the utmost moral degeneracy; I proceeded thence to the new creation of individual man; compared heathen with Christian man in the persons of Cicero and St. Augustine; drew out certain effects upon the world around of Christian life, as seen in those professing it, and viewed Christian marriage as restoring the primary relation between man and woman, and thus remaking the basis of human society, while the Virginal Life exhibited the crown and efflorescence of the most distinctive Christian grace in the soul. I had thus, beginning with the stones of which the building is formed, reached the building itself; and the next thing was to consider the Christian Church in its historical development as the Kingdom of Truth and Grace: for while the soul of man is the unit with which it works, the word “Christendom” betokens a society founded in Christ, made by Christ, stamped with the image of Christ. It is the first great epoch of such a Kingdom of Truth and Grace, proceeding from the Person of its Founder, which I here attempt to delineate. But not merely is the volume which I now publish a part only of a projected design; even as a part it is incomplete. It was my wish to finish this portion of my subject in one volume, which should reach to the great Nicene Council. But the treatment of the Greek Philosophy was too large for my limits, and so the last two chapters serve but as an introduction to the actual contact of that Philosophy with the Christian Church, which remains to be considered before I can complete my view of the Formation of Christendom in the ante-Nicene period. CHAPTER VII. THE GODS OF THE NATIONS WHEN CHRIST APPEARED. “Emmanuel, Rex et Legifer noster, Expectatio gentium, et Salvator earum, veni ad salvandum nos, Domine Deus noster.” Under the sceptre of the imperial unity were brought together a hundred different lands occupied by as many different races. That rule of Rome which had grown for many centuries with out, as it seemed, any presiding thought, by the casual accretions of conquest, may be said to assume under the hands of Augustus, about the year of Rome 750, certain definite and deliberately chosen limits, and to be governed by a fixed Idea, more and more developed in the imperial policy. The limits which the most fortunate of Roman emperors, nay the creator of the empire itself, put to it, were the Rhine and Danube, with the Euxine Sea, on the north; the deserts of Africa on the south; the Euphrates on the east; the ocean on the west. The Idea, which may indeed have been conceived by Julius, but was certainly first embodied by Augustus, was to change the constitution of a conquering city, ruled by an aristocratic senate, into a commonwealth governed by one man, the representative of the whole people; and the effect of this change, an effect no doubt unforeseen, at least in its extent, by its framer, was gradually to absorb the manifold races inhabiting these vast regions into the majesty of the Roman law,...

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This book doesn't have a plot in the traditional sense, but its true story is more compelling than any novel. It centers on a lost work by the ancient Greek mathematician Euclid, known as On Divisions of Figures. The original vanished into history. For centuries, it was just a ghost—a title mentioned by other writers with no text to back it up.

The Story

The 'story' is the centuries-long quest to resurrect this lost book. It begins with Arabic scholars in the Middle Ages, who had translated and commented on Euclid's work. Their versions became the crucial clues. Centuries later, the mathematical genius Leonardo Fibonacci encountered these Arabic texts. Finally, in the 1800s, a historian named Franz Woepcke took on the role of detective. He gathered all the scattered references, translations, and commentaries from Euclid, the Arabic scholars, and Fibonacci, and tried to reconstruct what the original book might have said. This volume presents his detective work.

Why You Should Read It

You read this for the thrill of the hunt. It makes you appreciate how fragile knowledge is and how it depends on a chain of curious people across time and cultures. It's not a dry math lesson; it's a human story about preservation and puzzle-solving. The real 'characters' are these scholars, separated by a millennium, all connected by a single intellectual mystery.

Final Verdict

Perfect for history buffs who love a good mystery, or anyone fascinated by how ideas travel. It's also great for readers who enjoy stories about forgotten things being found. You don't need to be a math whiz—just someone curious about the hidden journeys of knowledge. It's a short, unique look at the collaborative nature of history itself.



✅ Public Domain Notice

This masterpiece is free from copyright limitations. Share knowledge freely with the world.

Richard Ramirez
4 months ago

Not bad at all.

Kenneth Moore
4 months ago

Clear and concise.

James Taylor
7 months ago

Fast paced, good book.

5
5 out of 5 (3 User reviews )

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