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The Principia is written in Latin and ... (Propositions 5–10). Propositions 11 ... The mathematical aspects of the first two books were so clearly consistent ...
(Proposition 7 in the Principia.) Problem 2 explores the case of an ellipse, where the center of attraction is at its center, and finds that the centripetal force to produce motion in that configuration would be directly proportional to the radius vector. (This material becomes Proposition 10, Problem 5 in the Principia.)
The works of Archimedes were written in Doric Greek, the dialect of ancient Syracuse. [79] ... while the second book contains ten propositions. In the first book, ...
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.
On 1 June 1642 [1] the English Lords and Commons approved a list of proposals known as the Nineteen Propositions, sent to King Charles I of England, who was in York at the time. [2] In these demands, the Long Parliament sought a larger share of power in the governance of the kingdom.
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 ...
Sections 10, 11, 12: Properties of a variable extended to all individuals: section 10 introduces the notion of "a property" of a "variable". PM gives the example: φ is a function that indicates "is a Greek", and ψ indicates "is a man", and χ indicates "is a mortal" these functions then apply to a variable x.
The book presents a loosely Cartesian doctrine (that the proposition is a combining of ideas rather than terms, for example) within a framework that is broadly derived from Aristotelian and medieval term logic. Between 1664 and 1700, there were eight editions, and the book had considerable influence after that. [90]