| David Eugene Smith - Geometry - 1911 - 339 pages
...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 Eugene Smith - Mathematics - 1958 - 736 pages
...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 - Mathematics - 1997 - 512 pages
...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 - Mathematics - 1976 - 296 pages
...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 - Mathematics - 1970 - 449 pages
...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 - Mathematics - 1992 - 355 pages
...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 Glymour - Psychology - 1997 - 382 pages
...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 - Mathematics - 1993 - 298 pages
...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 - Mathematics - 1993 - 322 pages
...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 - Mathematics - 1994 - 308 pages
...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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