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" When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it. "
Modern geometry [ed.] with an appendix by W.B. Jack - Page 18
by Richard Wormell - 1876
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Stories about Mathematics-land, Volume 2

D. Ponton - Mathematics - 1927 - 168 pages
...common arm. Vertically opposite Angles are those made when two straight lines cross one another. When a straight line, standing on another straight line,...the adjacent angles equal to one another, each of the angles is called a Right Angle, and the straight line which stands on the other is called a perpendicular...
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Adeline's Art Dictionary: Containing a Complete Index of All Terms Used in ...

Jules Adeline - Archaeology - 1927 - 442 pages
...it are straight lines. It is called curvilinear ANA ANI when it is contained by portions of curves. When one straight line standing on another straight line makes the adjacent angles equal, each of these angles is called a right angle. A right angle measures 9o°. An angle of 45° (ie half...
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Isis, Volume 12

George Sarton - Science - 1929 - 622 pages
...EUCLID'S definition of the right angle (Elements, I, def. 10) : « When a straight line set upon a straight line makes the adjacent angles equal to one another, each of the equal angles is right » (50) See HI, 4-5(51) The translation is not complete, nor strictly literal....
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Isis, Volume 12

George Sarton - Science - 1929 - 628 pages
...EUCLID'S definition of the right angle (Elements, I, def. 10) : « When a straight line set upon a straight line makes the adjacent angles equal to one another, each of the equal angles is right » (50) See HI, 4-5(51) The translation is not complete, nor strictly literal....
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Geometry, Relativity, and the Fourth Dimension

Rudy von Bitter Rucker - Science - 1977 - 166 pages
...of this postulate is not clear until we have defined right angles: "When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right." This postulate seems to be equivalent to the assumption that the things...
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The Foundations of Geometry and the Non-Euclidean Plane

G.E. Martin - Mathematics - 1997 - 536 pages
...containing the 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 of the equal angles is right, and the straight line standing on the other is called a perpendicular to...
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Geometry and the Visual Arts

Daniel Pedoe - Mathematics - 1983 - 338 pages
...containing the 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 of the equal angles is right, and the straight line standing on the other is called a perpendicular to...
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Collected Works of Bernard Lonergan: Collection

Bernard J. F. Lonergan, Robert M. Doran - Philosophy - 1988 - 372 pages
...straight lines. It is a nominal definition. The tenth definition reads: 'When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to...
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Geometry: A Comprehensive Course

Daniel Pedoe - Mathematics - 1988 - 468 pages
...containing the 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 of the equal angles is right, and the straight line standing on the other is called a perpendicular to...
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A Commentary on the First Book of Euclid's Elements

Proclus - Mathematics - 1992 - 432 pages
...has primacy over the things that are plural and separated. X-XII. When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is a right angle and the straight line standing on the other is called a perpendicular...
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