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It builds upon the propositions of the previous books and applies them with further specificity than in Book 1 to the motions observed in the Solar System. Here (introduced by Proposition 22, [ 34 ] and continuing in Propositions 25–35 [ 35 ] ) are developed several of the features and irregularities of the orbital motion of the Moon ...
The Elements (Ancient Greek: Στοιχεῖα Stoikheîa) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions.
This is a selected list of authors and works listed on the Index Librorum Prohibitorum.The Index was discontinued on June 14, 1966 by Pope Paul VI. [1] [2]A complete list of the authors and writings present in the subsequent editions of the index are listed in J. Martinez de Bujanda, Index Librorum Prohibitorum, 1600–1966, Geneva, 2002.
The book begins with a simpler proof of the law of the lever in Proposition 1, making reference to results found in Quadrature of the Parabola. Archimedes proves the next seven propositions by combining the concept of centre of gravity and the properties of the parabola with the results previously found in On the Equilibrium of Planes I.
In the 19th century, Paris green and similar arsenic pigments were often used on front and back covers, top, fore and bottom edges, title pages, book decorations, and in printed or manual colorations of illustrations of books. Since February 2024, several German libraries started to block public access to their stock of 19th century books to ...
Curiously, on this score, the penultimate proposition of the Tractatus, proposition 6.54, states that once one understands the propositions of the Tractatus, he will recognize that they are senseless, and that they must be thrown away. Proposition 6.54, then, presents a difficult interpretative problem.
The Heads of Proposals was a set of propositions intended to be a basis for a constitutional settlement after King Charles I was defeated in the First English Civil War. [1] The authorship of the Proposals has been the subject of scholarly debate, although it has been suggested that it was drafted in the summer of 1647 by Commissary-General ...
The thirteen books cover Euclidean geometry and the ancient Greek version of elementary number theory. With the exception of Autolycus' On the Moving Sphere , the Elements is one of the oldest extant Greek mathematical treatises, [ 9 ] and it is the oldest extant axiomatic deductive treatment of mathematics .