 | Ronald Calinger - 1996 - 380 страница
...The concept of angle arises with other meanings in Euclid's Elements. Book I, Definition 8, reads: "A plane angle is the inclination to one another of two...meet one another and do not lie in a straight line." This definition is not operational, that is to say, Euclid does not use it in his proofs. In particular,... | |
 | Howard Whitley Eves - 1997 - 370 страница
...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 lines in a plane if the lines meet and do not lie in a straight line. 9. When the lines containing the angle are straight... | |
 | Nick Huggett - 1999 - 292 страница
...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,... | |
 | Anne Ashley Davenport - 1999 - 468 страница
...define the angle at the point where 77 Euclid defines the plane angle as follows: (definition 8): "A plane angle is the inclination to one another of two...meet one another and do not lie in a straight line." (definition 9): "And when the lines containing the angle are straight, the angle is called rectilinear."... | |
 | Douglas M. Jesseph - 1999 - 440 страница
...six sciences: mechanics, astronomy, optics, geodesy, canonics, and calculation" (Proclus 1970, 31). in a plane which meet one another and do not lie in a straight line" (Elements 1, def. 8). Finally, postulates are demands that a certain construction be admitted or effected,... | |
 | Judith Cederberg - 2004 - 472 страница
...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,... | |
 | Judith Cederberg - 2004 - 472 страница
...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...when the lines containing the angle are straight, the is called rectilineal. 10. When a straight line set up on a straight line makes the angles equal to... | |
 | Audun Holme - 2002 - 408 страница
...and breath only. 6. A plane surface is that which lies evenly with the straight lines on itself. 7. A plane angle is the inclination to one another of two...meet one another and do not lie in a straight line. 8. And when the lines containing the angle are straight, the angle is caller rectilinear. 9. When a... | |
 | Georgia Lynette Irby-Massie, Paul Turquand Keyser - 2002 - 440 страница
...8. A plane angle is the mutual inclination of two intersecting and non-collinear lines in a plane. 9. And when the lines containing the angle are straight, the angle is called rectilinear. 10. When a straight line set up on a straight line makes the adjacent angles equal one... | |
 | Hans Niels Jahnke - 436 страница
...rectilineal angle (Elements I, Def. 2), which can be subsumed under the more general definition: "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). Nevertheless, this special case is that one Euclid considers in his work. In... | |
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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. 
