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THE CLASSIC WORK OF ARCHIMEDES The Sand-Reckoner Dimensio Circuli of Archimedes Translated by Thomas L. Heath (Original publication: Cambridge University Press, 1897). The Sand Reckoner is a work by Archimedes in which he set out to determine an upper bound for the number of grains of sand that fit into the universe. In order to do this, he had to estimate the size of the universe according to the contemporary model, and invent a way to talk about extremely large numbers. The work, also known in Latin as Archimedis Syracusani Arenarius and Dimensio Circuli, which is about 8 pages long in translation, is addressed to the Syracusan king Gelo II (son of Hiero II), and is probably the most accessible work of Archimedes; in some sense, it is the first research-expository paper. Archimedes died during the Siege of Syracuse when he was killed by a Roman soldier despite orders that he should not be harmed. Cicero describes visiting the tomb of Archimedes, which was surmounted by a sphere and a cylinder, which Archimedes had requested to be placed on his tomb, representing his mathematical discoveries. Unlike his inventions, the mathematical writings of Archimedes were little known in antiquity. Mathematicians from Alexandria read and quoted him, but the first comprehensive compilation was not made until c. 530 AD by Isidore of Miletus in Byzantine Constantinople, while commentaries on the works of Archimedes written by Eutocius in the sixth century AD opened them to wider readership for the first time. The relatively few copies of Archimedes' written work that survived through the Middle Ages were an influential source of ideas for scientists during the Renaissance, while the discovery in 1906 of previously unknown works by Archimedes in the Archimedes Palimpsest has provided new insights into how he obtained mathematical results.
Ancient Greece was the cradle of philosophy in the Western tradition. Meet the Philosophers of Ancient Greece brings the thoughts and lives of the pioneers of Western philosophy down from their sometimes remote heights and introduces them to a modern audience. Comprising seventy essays, written by internationally distinguished scholars in a lively and accessible style, this book presents the values, ideas, wisdom and arguments of the most significant thinkers from the world of ancient Greece. Commencing with Thales of Miletus and continuing to the end of the Ancient Period of philosophy by way of Heraclitus, Parmenides, Protagoras, Socrates, Plato, Aristotle, Archimedes, Epictetus this book explores the major contributions of each philosopher as well as looking at archaeological and historical sites where they lived, worked and thought. This book is an outstanding introduction to the world of the philosophers of Ancient Greece.
This book reveals the multi-generational process involved in humanity's first major scientific achievement, namely the discovery of modern physics, and examines the personal lives of six of the intellectual giants involved. It explores the profound revolution in the way of thinking, and in particular the successful refutation of the school of thought inherited from the Greeks, which focused on the perfection and immutability of the celestial world. In addition, the emergence of the scientific method and the adoption of mathematics as the central tool in scientific endeavors are discussed. The book then explores the delicate thread between pure philosophy, grand unifying theories, and verifiable real-life scientific facts. Lastly, it turns to Kepler’s crucial 3rd law and shows how it was derived from a mere six data points, corresponding to the six planets known at the time. Written in a straightforward and accessible style, the book will inform and fascinate all aficionados of science, history, philosophy, and, in particular, astronomy.
A founding father of the “art of philology,” Aristarchus of Samothrace (216–144 BCE) made a profound contribution to ancient scholarship. In his study of Homer’s Iliad, his methods and principles inevitably informed, even reshaped, his edition of the epic. This systematic study places Aristarchus and his fragments preserved in the Iliadic scholia, or marginal annotations, in the context and cultural environment of his own time. Francesca Schironi presents a more robust picture of Aristarchus as a scholar than anyone has offered previously. Based on her analysis of over 4,300 fragments from his commentary on the Iliad, she reconstructs Aristarchus’ methodology and its relationship to earlier scholarship, especially Aristotelian poetics. Schironi departs from the standard commentary on individual fragments, and instead organizes them by topic to produce a rigorous scholarly examination of how Aristarchus worked. ​ Combining the accuracy and detail of traditional philology with a big-picture study of recurrent patterns and methodological trends across Aristarchus’ work, this volume offers a new approach to scholarship in Alexandrian and classical philology. It will be the go-to reference book on this topic for many years to come, and will usher in a new way of addressing the highly technical work of ancient scholars without losing philological accuracy. This book will be valuable to classicists and philologists interested in Homer and Homeric criticism in antiquity, Hellenistic scholarship, and ancient literary criticism.
Published in 1932, this collection of translated excerpts on ancient astronomy was prepared by Sir Thomas Little Heath (1861-1940).
A fact packed celebration of science from the clever people who bring you AQUILA magazine. The Book of Big Science Ideas introduces young readers, aged 8 and up, to 15 brilliant science ideas and more than 50 ingenious thinkers who have helped shape our understanding of the world. What is everything made of? What is our place in space? Can machines think? And why does your hat come hurtling back down after you've chucked it into the air? This book has the answers! Readers will learn all about established ideas such as atoms, electricity and the solar system, as well as ideas that are still evolving such as gravity, energy and classification, right up to recent discoveries like AI and genetics. Each big idea is explored over two double-page spreads: the first explains the idea in rich detail and with plenty of bright and engaging illustrations and diagrams, while the second spread introduces readers to the key scientists and thinkers who helped shape the idea with fun portraits for each one. Thinkers include, Wang Zhenyi, Louis Pasteur, Marie Curie, James Joule, Rosalind Franklin, Charles Darwin, Aristotle, Edith Clarke, Isaac Newton, Grace Hopper, Alan Turing, Ada Lovelace and many, many more! Spreads on why ideas matter, the scientific method, future ideas and even more scientists to discover are also included, and a detailed timeline and glossary of scientific terms ensure that readers have the tools to really get to grips with the concepts. This is the perfect book for science-loving kids everywhere.
Leading historian of science Owen Gingerich offers a fascinating portrait of Nicolaus Copernicus (1473-1543), who developed the concept of a heliocentric universe and is a pivotal figure in the birth of modern science.
Cooking Cosmos is an exciting book that traces the history of men's endeavor to understand the Universe, and answers the eternal questions: 'Who made this World?' 'Where did it come from?' 'How and why did it begin?' Thousands of years of continual interaction with nature has brought mankind to the present stage when we have some inkling about the working of nature. We now know that the Earth, our habitat, is only one of the planets orbiting the Sun. The Sun itself is a star among billions of stars in the Universe. We know that our solar system came into existence some 4.5 billion years ago and it is but only a tiny component of our galaxy, the Milky Way. Our Universe contains some 100 billion of galaxies. We know that the Universe itself came into existence with the Big Bang some 13.7 billion years ago and even now galaxies are receding from each other with ever increasing speed.This book takes you through the intellectual journey of mankind, unraveling the mysteries of the Cosmos. Starting from Aristotle's Earth-centered Universe, it will take you step by step to the Copernican Sun-centered Universe, to Hubble's expanding Universe, to the Big Bang, to the currently accepted accelerating Universe. In the process, the book explores the origin of space-time, black hole, black hole radiation, dark matter, dark energy, quantum gravity, string theory, all in terms comprehensible to general audiences.