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Books Books 1 - 10 of 21 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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The Teaching of Geometry

David Eugene Smith - Geometry - 1911 - 339 pages
...will pass to the next definition and consider this one in connection therewith. 9. RECTILINEAR ANGLE. When the lines containing the angle are straight, the angle is called rectilinear. This definition, taken with the preceding one, has always been a subject of criticism....
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History of Mathematics, Volume 2

David Eugene Smith - Mathematics - 1958 - 736 pages
...intersecting a straight line in space.2 Angle. Euclid's definitions of an angle are as follows : A plane angle is the inclination to one another of two...meet one another and do not lie in a straight line. And when the lines containing the angle are straight, the angle is called rectilineal. This excludes...
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The Foundations of Geometry and the Non-Euclidean Plane

G.E. Martin - Mathematics - 1997 - 512 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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Geometry and the Visual Arts

Daniel Pedoe - Mathematics - 1976 - 296 pages
...on itself. 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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Fundamental Concepts of Geometry

Bruce E. Meserve - Mathematics - 1959 - 321 pages
...lines, (vii) A plane surface is a surface which lies evenly with the straight lines on itself. (viii) A plane angle is the inclination to one another of two...meet one another and do not lie in a straight line. With regard to unstated or tacit assumptions, Euclid assumes without any explicit statement or explanation...
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Geometry: A Comprehensive Course

Daniel Pedoe - Mathematics - 1970 - 449 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, each...
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The Historical Roots of Elementary Mathematics

Lucas Nicolaas Hendrik Bunt, Phillip S. Jones, Jack D. Bedient - Mathematics - 1988 - 299 pages
...continues with a series of definitions in which the meaning of the derived concepts is explained. VlH A plane angle is the inclination to one another of two lines in a plane that meet one another and do not lie in a straight line. lX And when the lines containing the angle...
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A Commentary on the First Book of Euclid's Elements

Proclus, Glenn Raymond Morrow - Mathematics - 1992 - 355 pages
...send down impressions of themselves. Vili. A plane angle is the inclination to one another of two Unes in a plane which meet one another and do not lie in a straight line. Some of the ancients put the angle in the category of relation, calling it the inclination either of...
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Thinking Things Through: An Introduction to Philosophical Issues and ...

Clark Glymour - Psychology - 1997 - 382 pages
...are lines. 7. A plane surface is a surface that lies evenly with the straight lines on itself. 8. A plane angle is the inclination to one another of two lines in a plane that meet one another and do not lie in a straight line. 9. And when the lines containing the angle...
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The Poincaré Half-plane: A Gateway to Modern Geometry

Saul Stahl - Mathematics - 1993 - 298 pages
...extremities of a plane surface are straight lines and that the surface lies evenly with them. 8. A plane angle is the inclination to one another of two...angle are straight, the angle is called rectilineal. It is clear from the above two definitions that Euclid has some interest in curvilinear angles, ie,...
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