 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
 | Cassius Jackson Keyser - 1925 - 485 страница
...epoch-making statement— perhaps the most famous single utterance in the history of science. It is this: // a straight line falling on two straight lines make...meet on that side on which are the angles less than two right angles. Apparently convinced that this proposition could not be deduced as a theorem from... | |
 | Carolyn Soward Armentrout - 1925 - 116 страница
...upon his fifth postulate which states that: "If a straight line falling on two straight lines makes the interior angles on the same side less than two...if produced indefinitely meet on that side on which the angles are less than two right angles*" This is equivalent to: Through a point one and only one... | |
 | Gilbert Newton Lewis - 1926 - 248 страница
...distance. 4. All right angles are equal. 5. 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. If after neatly packing for a journey we should discover some necessary object and... | |
 | Plato - 1984 - 372 страница
...as an argument for the actual infinity of Euclidean space (I, Postulate 5, trans. Heath): "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." The two straight lines must meet at a finite distance. Their meeting could be infinitely... | |
 | Howard Whitley Eves - 1997 - 370 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. Common notions 1. Things which are equal to the... | |
 | Silvio Levy - 1997 - 212 страница
...right angles are congruent to one another. 5. If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if extended indefinitely, meet on that side on which the angles are less than two right angles. following... | |
 | Thomas Jackson Rice - 1997 - 228 страница
...circle with any centre 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 die same side less than two right angles, the two straight lines, if produced indefinitely, meet on... | |
 | David A. Singer - 1998 - 176 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...on that side on which are the angles less than the two right angles. The first three postulates are not too bad. The first assures us that we can talk... | |
 | Douglas M. Jesseph - 1999 - 440 страница
...28. As I mentioned, the fifth postulate of book 1 is the notorious parallel postulateIt asserts "if a straight line falling on two straight lines make...on that side on which are the angles less than the two right angles." Aside from not actually being a license to construct anything, the postulate seems... | |
 | Nick Huggett - 1999 - 292 страница
...circle with any centre and distance. 4. That all right angles are equal to one another. 5. 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. Common Notions 1. Things which are equal to the same thing are also equal to one... | |
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