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Books Books 31 - 40 of 44 on Parallel straight lines are straight lines which, being in the same plane and being....  
" Parallel straight lines are straight lines which, being in the same plane and being produced indefinitely in both directions, do not meet one another in either direction. "
Introduction and books 1,2 - Page 190
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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Einstein's Wake : Relativity, Metaphor, and Modernist Literature: Relativity ...

Michael H. Whitworth - 2001 - 240 pages
...and the definition of parallelism rely upon references to infinity. Parallel straight lines are those which, 'being in the same plane and being produced...both directions, do not meet one another in either direction'.1 The difficulty with this definition is that it suggests one may physically demonstrate...
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A Mathematics Sampler: Topics for the Liberal Arts

William P. Berlinghoff, Kerry E. Grant, Dale Skrien - Mathematics - 2001 - 602 pages
...three sides unequal. Parallel straight lines are straight lines in the same plane which, if extended indefinitely in both directions, do not meet one another in either direction. From this simple beginning twenty-three definitions, five Common Notions, and five Postulates ...
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Geometry: Our Cultural Heritage

Audun Holme - Mathematics - 2002 - 378 pages
This book contains selected topics from the history of geometry, with "modern" proofs of some of the results, as well as a fully modern treatment of selected basic issues in ...
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Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace

Leonard Mlodinow - Science - 2010 - 320 pages
...angle, surface, and plane. He defined some of these terms quite precisely. Parallel lines, he wrote, are "straight lines which, being in the same plane,...directions, do not meet one another in either direction." A circle, he wrote, is "a plane figure contained by one line [ie, curve] such that all straight lines...
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Greek Science of the Hellenistic Era: A Sourcebook

Georgia Lynette Irby-Massie, Paul Turquand Keyser - History - 2002 - 392 pages
We all want to understand the world around us, and the ancient Greeks were the first to try and do so in a way we can properly call scientific. Their thought and writings laid ...
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Science and Religion, 400 B.C. to A.D. 1550: From Aristotle to Copernicus

Edward Grant - Religion - 2004 - 307 pages
...is an angle less than a right angle. 13. A boundary is that which is an extremity of anything. 23. Parallel straight lines are straight lines which,...directions, do not meet one another in either direction. (Euclid 1956, 1:153, 154) Euclid includes two kinds of propositions: constructional propositions and...
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此零非彼O

洪萬生 - Mathematics - 2006 - 353 pages
...multitude of primes numbers ) ( Heath, 1956, vol. II, pp. 412-413 ) ( postulate ) - M r^TlJPJ Bf 1.23: Parallel straight lines are straight lines which,...directions, do not meet one another in either direction. ( -f-ff a&. ad & ) ( Heath, 1956, vol. I, p. 154 ) IS; i 5: [Let the following be postulated:]...
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Euclid: The Great Geometer

Chris Hayhurst - Biography & Autobiography - 2006 - 112 pages
...the center of the circle. The last definition in the book deals with what is meant by "parallel." 23. Parallel straight lines are straight lines which,...directions, do not meet one another in either direction. Parallel Lines Following the definitions, book I lists five "postulates." The postulates use the same...
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What is Geometry?

Giandomenico Sica - Mathematics - 2006 - 268 pages
...p. 1005]. 5 The definition concerning parallel straight lines is stated as the 23rd definition: they are "straight lines which, being in the same plane...directions, do not meet one another in either direction" [Heath (1956), p. 154]. 6 Euclid's fifth postulate reads as follows: "that, if a straight line falling...
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How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to ...

William Byers - Mathematics - 2010 - 424 pages
To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black ...
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