 | Underwood Dudley - 1992 - 388 σελίδες
...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 that... | |
 | Proclus - 1992 - 432 σελίδες
...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 - 1993 - 320 σελίδες
...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... | |
 | Keith Devlin - 1996 - 228 σελίδες
...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... | |
 | Howard Whitley Eves - 1997 - 370 σελίδες
...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... | |
 | David A. Singer - 1998 - 176 σελίδες
...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... | |
 | Hippolyte Taine - 1998 - 596 σελίδες
...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... | |
 | Reinhard Laubenbacher, David Pengelley - 2000 - 292 σελίδες
...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... | |
 | Nick Huggett - 1999 - 292 σελίδες
...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... | |
 | Judith Cederberg - 2004 - 472 σελίδες
...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... | |
| |
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. 
