 | David Eugene Smith - 1911 - 358 σελίδες
...will pass to the next definition and consider this one in connection therewith. 9. RECTILINEAR ANGLE. When the lines containing the angle are straight, the angle is called rectilinear. This definition, taken with the preceding one, has always been a subject of criticism.... | |
 | David E. Smith - 1958 - 756 σελίδες
...intersecting a straight line in space.2 Angle. Euclid's definitions of an angle are as follows : A plane angle is the inclination to one another of two...meet one another and do not lie in a straight line. And when the lines containing the angle are straight, the angle is called rectilineal. This excludes... | |
 | G.E. Martin - 1997 - 536 σελίδες
...are lines. 7. A plane surface is a surface which lies evenly with the straight lines on itself. 8. A plane angle is the inclination to one another of two...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,... | |
 | Daniel Pedoe - 1983 - 338 σελίδες
...on itself. 7. A plane surface is a surface which lies evenly with the straight lines on itself. 8. A plane angle is the inclination to one another of two...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,... | |
 | Daniel Pedoe - 1988 - 468 σελίδες
...are lines. 7 A plane surface is a surface which lies evenly with the straight lines on itself. 8 A plane angle is the inclination to one another of two...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... | |
 | Proclus - 1992 - 432 σελίδες
...send down impressions of themselves. Vili. A plane angle is the inclination to one another of two Unes in a plane which meet one another and do not lie in a straight line. Some of the ancients put the angle in the category of relation, calling it the inclination either of... | |
 | Clark N. Glymour - 1997 - 406 σελίδες
...are lines. 7. A plane surface is a surface that lies evenly with the straight lines on itself. 8. A plane angle is the inclination to one another of two lines in a plane that meet one another and do not lie in a straight line. 9. And when the lines containing the angle... | |
 | Saul Stahl - 1993 - 320 σελίδες
...extremities of a plane surface are straight lines and that the surface lies evenly with them. 8. A plane angle is the inclination to one another of two...angle are straight, the angle is called rectilineal. It is clear from the above two definitions that Euclid has some interest in curvilinear angles, ie,... | |
 | Douglas M. Jesseph - 1993 - 335 σελίδες
...that had a long history in geometry and was much discussed in Berkeley's day. According to Euclid, "A plane angle is the inclination to one another of two...meet one another and do not lie in a straight line" (Elements I, def. 8). This definition covers cases beyond the intersection of two straight lines. In... | |
 | John McCleary - 1994 - 338 σελίδες
...arms. The next postulate deals with angles. We first recall a few more of Euclid's definitions: (8) A plane angle is the inclination to one another of two lines in the plane that meet one another and do not lie in a straight line. (9) And when the lines containing... | |
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A plane angle is the inclination to one another of two lines in a plane which meet one another and do not lie in a straight line. 
