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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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## Standard American Cyclopedia of Steam Engineering: A Treatise on the Care ...

Calvin Franklin Swingle - 1913 - 1249 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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## Geometry, Relativity, and the Fourth Dimension

Rudy von Bitter Rucker - 1977 - 133 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 - 512 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 - 296 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 - 215 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 - 348 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 - 449 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 - 355 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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## Mathematical Cranks

Underwood Dudley - 1992 - 372 sider
...to leave the term undefined — but others were just fine: 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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## Thinking Things Through: An Introduction to Philosophical Issues and ...

Clark Glymour - 1997 - 382 sider
...angle are straight, the angle is called rectilinear. 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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