Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books 31 - 40 of 46 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
Full view - About this book

The Norton History of the Mathematical Sciences: The Rainbow of Mathematics

I. Grattan-Guinness - Mathematics - 1997 - 817 pages
...another.' The last one bore upon parallelism: Euclid defined 'parallel straight lines' as those which 'being produced indefinitely in both directions, do not meet one another in either direction', and then formulated a postulate in terms of o-parallelism: That, if a straight line falling on...
Limited preview - About this book

Mathematical Logic

G. T. Kneebone
...lines falling upon it from one point among those lying within the figure are equal to one another. 23. Parallel straight lines are straight lines which,...directions, do not meet one another in either direction. There are five postulates, expressed as follows : Let the following be postulated : 1 . To draw a straight...
Limited preview - About this book

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...
Limited preview - About this book

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 ...
Limited preview - About this book

Geometry: Our Cultural Heritage

Audun Holme - Mathematics - 2002 - 378 pages
...neither equilateral nor right-angled. And let quadrilaterals other than these be called trapezia. 22. Parallel straight lines are straight lines which,...directions, do not meet one another in either direction. It is interesting to note that the term line does not signify only straight line, and that the straight...
Limited preview - About this book

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...
Limited preview - About this book

Greek Science of the Hellenistic Era: A Sourcebook

Georgia Lynette Irby-Massie, Paul Turquand Keyser - History - 2002 - 392 pages
...these be called trapezia. 23. Parallels are straight lines which, being in the same plane and extending indefinitely in both directions, do not meet one another in either direction. Postulates [1-3 assert that space is continuous and infinite] 1 . Let the following be postulated:...
Limited preview - About this book

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...
Limited preview - About this book

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:]...
Limited preview - About this book

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...
Limited preview - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download PDF