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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 16
av Euclid - 1765 - 464 sider
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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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The Poincaré Half-plane: A Gateway to Modern Geometry

Saul Stahl - 1993 - 298 sider
...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 on which it stands....
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Geometry from a Differentiable Viewpoint

John McCleary, John Mac Cleary - 1994 - 308 sider
...straight, the angle is called rectilineal. (10) When a straight line set up on a straight line makes 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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Mathematics: The Science of Patterns: The Search for Order in Life, Mind and ...

Keith Devlin - 1996 - 224 sider
...lies evenly with the points on itself. Definition 10 When a straight line standing on another 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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Foundations and Fundamental Concepts of Mathematics

Howard Whitley Eves - 1997 - 344 sider
...straight lines, the angle is called a rectilinear angle. 10. When a straight line erected on a straight line makes the adjacent angles equal to one another, each of the equal angles is called a right angle, and the straight line standing on the other is called a perpendicular to that...
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Geometry: Plane and Fancy

David A. Singer - 1998 - 162 sider
...know about right angles. Euclid's tenth definition says: 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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Mathematical Expeditions: Chronicles by the Explorers

Reinhard Laubenbacher, David Pengelley - 2000 - 278 sider
...postulate itself. Euclid, from Elements BOOK I. DEFINITION 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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