 | Proclus - Mathematics - 1992 - 432 pages
...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... | |
 | Clark N. Glymour - Philosophy - 1997 - 406 pages
...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.... | |
 | Underwood Dudley - Mathematics - 1992 - 388 pages
...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.... | |
 | Saul Stahl - Geometry, Non-Euclidean - 1993 - 320 pages
...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.... | |
 | John McCleary - Mathematics - 1994 - 338 pages
...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.... | |
 | Keith Devlin - Mathematics - 1996 - 228 pages
...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.... | |
 | Howard Whitley Eves - Mathematics - 1997 - 370 pages
...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... | |
 | David A. Singer - Mathematics - 1998 - 176 pages
...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.... | |
 | Nick Huggett - Philosophy - 1999 - 292 pages
...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.... | |
 | Reinhard Laubenbacher, David Pengelley - Mathematics - 2000 - 292 pages
...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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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. 
