That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles. Introduction and books 1,2 - Страница 188написао/ла Euclid - 1908Пуни преглед - О овој књизи
| Vladimir Tasiæ - 2001 - 208 страница
...All right angles are mutually congruent. P5. If a straight line falling on two straight lines makes the interior angles on the same side less than two...produced indefinitely. meet on that side on which the angles are less than the two right angles. iLe.. whenever there is a line L and a point P not on... | |
| William P. Berlinghoff, Kerry E. Grant, Dale Skrien - 2001 - 672 страница
...Euclid's Fifth Postulate, which says: If a straight line falling on two straight lines makes the sum of the interior angles on the same side less than two right angles, then the two straight lines, if extended indefinitely, meet on that side on which the angle sum is... | |
| Barry Dainton - 2001 - 406 страница
...version. Euclid's version is "If a straight line falling across two straight lines makes the sum of the interior angles on the same side less than two right angles, then the two straight lines intersect, if sufficiently extended on that side." 3. In a letter to Bessel,... | |
| John Stillwell - 2004 - 576 страница
...equivalent statements of Axiom />i, some obviously fairly close to it, for example, Euclid's own: That if a straight line falling on two straight lines, make...on that side on which are the angles less than the two right angles. [Heath (1925), p. 202] Other statements of Axiom P{ are less obviously equivalent... | |
| Thomas A. Garrity - 2002 - 378 страница
...Euclid's beginnings. Fifth Postulate: That, if a straight line falling on two straight lines makes the interior angles on the same side less than two...on that side on which are the angles less than the two right angles. Certainly by looking at the picture necessary point / ol intersection we see that... | |
| Audun Holme - 2002 - 408 страница
...5. That, if a straight line falling on two straight lines make the interior angles on the same line less than two right angles, the two straight lines,...on that side on which are the angles less than the two right angles. These are the five postulates of Euclid. Among them the fifth postulate occupies... | |
| Abe Shenitzer, John Stillwell - 2002 - 318 страница
...If a straight line falling on two straight lines makes the interior angles on the same side together less than two right angles, the two straight lines,...produced indefinitely, meet on that side on which the angles are together less than two right angles. "Now whatever else this postulate may be, self-evident... | |
| Georgia Lynette Irby-Massie, Paul Turquand Keyser - 2002 - 440 страница
...equal one to another, [space is homogenous] 5. If a straight line intersecting two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, extended indefinitely, intersect on the side of the angles less than two right angles, [compare Toth... | |
| Audun Holme - 2002 - 408 страница
...circle with any center and distance. 4. That all right angles are equal to one another. 5. That, if a straight line falling on two straight lines make the interior angles on the same line less than two right angles, the two straight lines, if produced indefinitely meet on that side... | |
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