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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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A Modern Introduction to Geometries

Annita Tuller - 1967 - 238 sider
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A Profile of Mathematical Logic

Howard DeLong - 1970 - 328 sider
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Mathematics and Mathematicians, Volum 1

Pierre Dedron, Jean Itard - 1974 - 332 sider
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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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Journal of Indian Council of Philosophical Research, Volum 6

1988 - 592 sider
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Book V of Witelo's Perspectiva, Bok 5

Witelo, A. Mark Smith - 1983 - 294 sider
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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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