... same side of the straight. It is only this family which is being discussed in the following Definition 2 (a similar family, this time for planes, is singled out in Definition 3, and is discussed in ... observations on his linguistic habits and assumptions. general comments Definitions 1–4 Following Archimedes, we start with Definition 1. Imagine a “curved line,” and the straight lin...
... that “there are in a plane some curved lines, which are either all on the same side as the straight lines joining their limits or have nothing on the other side.” 3 The assertion will be clear if ... those which are composed of straight lines, and it is among these that lines concave in the same direction are identified, it is possible to take, on some line, concave in the...
... answering the three sine qua non conditions of Greek mathematical communication – written, proved, drawn. What is the relation between the idea in the mind of the mathematician and the idea in actual ... operation of “imagination:” the border between the conceptual and spatial The construction furnishes us with a new handle on the operation of imagi- nation: “(b) an...
... 10Translation and Commentary 2 9On the Sphere and the Cylinder, Book I 3 1On the Sphere and the Cylinder, Book II 185Eutocius’ Commentary to On the Sphere andthe Cylinder I 243Eutocius’ Commentary to On ... the NationalLibrary in Paris, the Marcian Library in Venice, the Laurentian Libraryin Florence and the Vatican Library in Rome. The libr...
... reciprocal to the heights; 13 (3) and the task is then made. And if it is not the base being given, but the axis, then, obtaining Y by the same principle, the things mentioned in the proposition will ... magnitude, as a position: it is the line on which Z is situated, K is erected, etc. Hence the strange description, “Given in position, limited at .” 101 Z begins a...
... working on the Church by administering the sacraments,
listening confessions and saying masses. A young lieutenant of police,
and ardent revolutionist and an anti-clerical, asked his chief to let him
search ... police
officers in Texas; the other was that of the priest. No one noticed the
irony, including the young lieutenant, who was more interested in
arresting the pri...
... his familiarity with Sinbad the Sailor 1 and Jack and the Beanstalk; new London editions of these two works appeared the year the Allan family came to England. 3 So did new editions of The History ... of his narrative; 10 Poe and the printed word yet in dignity, in strength, in harmony and in purity, he is surpassed by Robertson, who in his History of Scotland, his ®rst a...
... the protection and preservation of the marine environment’ in its exclusive economic zone is confirmed in the basic provisions on the rights, jurisdiction and duties of the coastal state in the ... this provision is the possibility of differentiating between developed and developing states in relation to the interpretation and application of some provisions of the Con...