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Books Books 11 - 20 of 25 on A plane angle is the inclination to one another of two lines in a plane which meet....
" A plane angle is the inclination to one another of two lines in a plane which meet one another and do not lie in a straight line. "
Introduction and books 1,2 - Page 176
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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Geometry from a Differentiable Viewpoint

John McCleary - Mathematics - 1994 - 308 pages
...arms. The next postulate deals with angles. We first recall a few more of Euclid's definitions: (8) A plane angle is the inclination to one another of two lines in the plane that meet one another and do not lie in a straight line. (9) And when the lines containing...
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Vita Mathematica: Historical Research and Integration with Teaching

Ronald Calinger - Mathematics - 1996 - 359 pages
...The concept of angle arises with other meanings in Euclid's Elements. Book I, Definition 8, reads: "A plane angle is the inclination to one another of two...meet one another and do not lie in a straight line." This definition is not operational, that is to say, Euclid does not use it in his proofs. In particular,...
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Foundations and Fundamental Concepts of Mathematics

Howard Whitley Eves - Mathematics - 1997 - 344 pages
...are lines. 7. A plane surface is a surface which lies evenly with the straight lines on itself. 8. A plane angle is the inclination to one another of two lines in a plane if the lines meet and do not lie in a straight line. 9. When the lines containing the angle are straight...
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Space from Zeno to Einstein: Classic Readings with a Contemporary Commentary

Nick Huggett - Science - 1999 - 274 pages
...are lines. 7. A plane surface is a surface which lies evenly with the straight lines on itself. 8. A plane angle is the inclination to one another of two...angle are straight, the angle is called rectilineal. 10. When a straight line set up on a straight line makes the adjacent angles equal to one another,...
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Measure of a Different Greatness: The Intensive Infinite, 1250-1650

Anne Ashley Davenport - Philosophy - 1999 - 438 pages
...define the angle at the point where 77 Euclid defines the plane angle as follows: (definition 8): "A plane angle is the inclination to one another of two...meet one another and do not lie in a straight line." (definition 9): "And when the lines containing the angle are straight, the angle is called rectilinear."...
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Squaring the Circle: The War Between Hobbes and Wallis

Douglas M. Jesseph - Mathematics - 2000 - 419 pages
...six sciences: mechanics, astronomy, optics, geodesy, canonics, and calculation" (Proclus 1970, 31). in a plane which meet one another and do not lie in a straight line" (Elements 1, def. 8). Finally, postulates are demands that a certain construction be admitted or effected,...
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A Course in Modern Geometries

Judith Cederberg - Mathematics - 2004 - 441 pages
...are lines. 7. A plane surface is a surface which lies evenly with the straight lines on itself. 8. A plane angle is the inclination to one another of two...angle are straight, the angle is called rectilineal. 10. When a straight line set up on a straight line makes the adjacent angles equal to one another,...
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A Course in Modern Geometries

Judith Cederberg - Mathematics - 2004 - 441 pages
...are lines. 7. A plane surface is a surface which lies evenly with the straight lines on itself. 8. A plane angle is the inclination to one another of two...when the lines containing the angle are straight, the is called rectilineal. 10. When a straight line set up on a straight line makes the angles equal to...
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Mathematical Logic

...breadthless length. 3. A straight line is a line which lies evenly with the points on itself. 8. A plane angle is the inclination to one another of two...meet one another and do not lie in a straight line. 10. When a straight line set up on a straight line makes adjacent angles equal to one another, each...
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Geometry: Our Cultural Heritage

Audun Holme - Mathematics - 2002 - 378 pages
...and breath only. 6. A plane surface is that which lies evenly with the straight lines on itself. 7. A plane angle is the inclination to one another of two...meet one another and do not lie in a straight line. 8. And when the lines containing the angle are straight, the angle is caller rectilinear. 9. When a...
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