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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. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Pàgina 18
per John Playfair - 1819 - 333 pàgines
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Thinking Things Through: An Introduction to Philosophical Issues and ...

Clark N. Glymour - 1997 - 406 pàgines
...containing the 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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A Commentary on the First Book of Euclid's Elements

Proclus - 1992 - 432 pàgines
...has 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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The Poincaré Half-plane: A Gateway to Modern Geometry

Saul Stahl - 1993 - 320 pàgines
...conclusions, and 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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Mathematics: The Science of Patterns: The Search for Order in Life, Mind and ...

Keith Devlin - 1996 - 228 pàgines
...curved.] Definition 4 A straight line is a line that lies evenly with the points on itself. Definition 10 When a straight line standing on another straight...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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Foundations and Fundamental Concepts of Mathematics

Howard Whitley Eves - 1997 - 370 pàgines
...are 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...
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On Intelligence

Hippolyte Taine - 1998 - 596 pàgines
...each of them perpendicular to a third line, denoting by the name perpendicular the straight line which standing on another straight line makes the adjacent angles equal to one another ; it is from this construction that all the properties of parallels must be deduced, — Now, what...
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Geometry: Plane and Fancy

David A. Singer - 1998 - 176 pàgines
...review what we 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...
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Space from Zeno to Einstein: Classic Readings with a Contemporary Commentary

Nick Huggett - 1999 - 292 pàgines
...containing 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 Expeditions: Chronicles by the Explorers

Reinhard Laubenbacher, David Pengelley - 2000 - 292 pàgines
...parallel 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...
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A Course in Modern Geometries

Judith Cederberg - 2004 - 472 pàgines
...containing 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 Reprinted with permission of Cambridge University Press from The Thirteen...
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