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" 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 that on which it stands. "
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books - Side 18
av Euclid - 1765 - 464 sider
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The Teaching of Geometry

David Eugene Smith - 1911 - 360 sider
...confine our attention to having the concept understood. 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 that on which it stands....
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Standard American Cyclopedia of Steam Engineering: A Treatise on the Care ...

Calvin Franklin Swingle - 1913 - 1270 sider
...same straight line as in Fig. 34. Fig. 34. Fig. 35. 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...
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Stories about Mathematics-land, Volum 2

D. Ponton - 1927 - 168 sider
...made when two straight lines cross one another. 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...
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Geometry, Relativity, and the Fourth Dimension

Rudy von Bitter Rucker - 1977 - 166 sider
...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 we are calling "straight...
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The Foundations of Geometry and the Non-Euclidean Plane

G.E. Martin - 1997 - 536 sider
...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 that on which it stands....
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Geometry and the Visual Arts

Daniel Pedoe - 1983 - 338 sider
...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 that on which it stands....
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Euclidean and Non-Euclidean Geometry: An Analytic Approach

Patrick J. Ryan - 1986 - 240 sider
...inclination to one another of two lines which meet. When a straight line set upon a straight line makes adjacent angles equal to one another, each of the equal angles is a right angle. Euclid did not define length, distance, inclination, or "set upon." Once having made his definitions,...
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Collected Works of Bernard Lonergan: Collection

Bernard J. F. Lonergan, Robert M. Doran - 1988 - 372 sider
...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 that on which it stands....
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Geometry: A Comprehensive Course

Daniel Pedoe - 1988 - 468 sider
...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 that on which it stands....
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A Commentary on the First Book of Euclid's Elements

Proclus - 1992 - 432 sider
...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 to that on which it stands. An obtuse...
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