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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 and Conic Sections - Page 10
by Elias Loomis - 1857 - 226 pages
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Mathematical Cranks

Underwood Dudley - Mathematics - 1992 - 388 pages
...prefer 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...
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The Poincaré Half-plane: A Gateway to Modern Geometry

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

Keith Devlin - Mathematics - 1996 - 228 pages
...is a line that 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...
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Foundations and Fundamental Concepts of Mathematics

Howard Whitley Eves - Mathematics - 1997 - 370 pages
...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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Geometry: Plane and Fancy

David A. Singer - Mathematics - 1998 - 176 pages
...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...
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Space from Zeno to Einstein: Classic Readings with a Contemporary Commentary

Nick Huggett - Philosophy - 1999 - 292 pages
...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...
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Mathematical Expeditions: Chronicles by the Explorers

Reinhard Laubenbacher, David Pengelley - Mathematics - 2000 - 292 pages
...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...
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A Course in Modern Geometries

Judith Cederberg - Mathematics - 2004 - 472 pages
...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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A Mathematics Sampler: Topics for the Liberal Arts

William P. Berlinghoff, Kerry E. Grant, Dale Skrien - Mathematics - 2001 - 672 pages
...describe familiar figures in more or less familiar ways. For example: « When a straight line crossing 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 crossing the other is called a perpendicular...
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Geometry: Our Cultural Heritage

Audun Holme - Mathematics - 2002 - 408 pages
...containing the angle are straight, the angle is caller rectilinear. 9. When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the angles is right, and the straight line standing on the other is called the perpendicular to the...
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