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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. "
The First Six Books: Together with the Eleventh and Twelfth - Σελίδα 10
των Euclid - 1781 - 520 σελίδες
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Stories about Mathematics-land, Τόμος 2

D. Ponton - 1927 - 168 σελίδες
...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 to it. A right angle contains 90...

Geometry, Relativity, and the Fourth Dimension

Rudy von Bitter Rucker - 1977 - 166 σελίδες
...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...
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The Foundations of Geometry and the Non-Euclidean Plane

G.E. Martin - 1997 - 536 σελίδες
...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...
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Geometry and the Visual Arts

Daniel Pedoe - 1983 - 338 σελίδες
...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...
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Collected Works of Bernard Lonergan: Collection

Bernard J. F. Lonergan, Robert M. Doran - 1988 - 372 σελίδες
...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...
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Geometry: A Comprehensive Course

Daniel Pedoe - 1988 - 468 σελίδες
...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...
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Mathematical Cranks

Underwood Dudley - 1992 - 388 σελίδες
...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...
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A Commentary on the First Book of Euclid's Elements

Proclus - 1992 - 432 σελίδες
...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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Thinking Things Through: An Introduction to Philosophical Issues and ...

Clark N. Glymour - 1997 - 406 σελίδες
...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...
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The Poincaré Half-plane: A Gateway to Modern Geometry

Saul Stahl - 1993 - 320 σελίδες
...that Euclid felt the need to acknowledge their efforts. 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...
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