 | Proclus - Mathematics - 1992 - 432 pages
...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... | |
 | Saul Stahl - Geometry, Non-Euclidean - 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... | |
 | Keith Devlin - Mathematics - 1996 - 228 pages
...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...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... | |
 | 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... | |
 | Hippolyte Taine - Psychology - 1998 - 596 pages
...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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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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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. 
