| Euclid - 1904 - 488 Seiten
...straight lines is based upon his twelfth Axiom, which we here repeat. AXIOM 12. If a straight line cut **two straight lines so as to make the two interior angles on the same side of it** together less than two right angles, these straight lines, being continually produced, will at length... | |
| 1918 - 986 Seiten
...given straight line." Either form is much simpler than Euclid's statement: "If a straight line meet **two straight lines so as to make the two interior...lines, being continually produced, shall at length meet** on that side on which are the angles which are less than two right angles." Playf air himself laid... | |
| 1918 - 922 Seiten
...given straight line." Either form is much simpler than Euclid's statement: "If a straight line meet **two straight lines so as to make the two interior...lines, being continually produced, shall at length meet** on that side on which are the angles which are less than two right angles." Playfair himself laid no... | |
| John William Withers - 1905 - 216 Seiten
...Two straight lines cannot inclose a space; n, All right angles are equal; 12, If a straight line meet **two straight lines, so as to make the two interior...lines being continually produced, shall at length meet** on that side on which are the angles which are less than two right angles.8 In nearly all modern editions,... | |
| John William Withers - 1905 - 203 Seiten
...less than two right angles, these straight lines being continually produced, shall at length meet on **that side on which are the angles which are less than two right angles.** 8 In nearly all modern editions, except the most recent, these are called " axioms "• and classed,... | |
| Ernst Mach - 1906 - 176 Seiten
...Fifth Postulate (also called the Eleventh Axiom and by some the Twelfth) : "If a straight line meet **two straight lines, so as to make the two interior...the angles which are less than two right angles."** Euclid easily proves that if a straight line falling on two other straight lines makes the alternate... | |
| Ernst Mach - 1906 - 174 Seiten
...Fifth Postulate (also called the Eleventh Axiom and by some the Twelfth) : "If a straight line meet **two straight lines, so as to make the two interior...the angles which are less than two right angles."** Euclid easily proves that if a straight line falling on two other straight lines makes the alternate... | |
| 1906 - 582 Seiten
...cannot enclose a space. 11. All right angles are equal to one another. 12. If a straight line meet **two straight lines, so as to make the two interior...lines, being continually produced, shall at length meet** on that side on which are the angles which are less than two right angles. Axis. — This term has... | |
| Joseph Gregory Horner - 1906 - 572 Seiten
...cannot enclose a space. 11. All right angles are equal to o,ne another. 12. If a straight line meet **two straight lines, so as to make the two interior...lines, being continually produced, shall at length meet** on that side on which are the angles which are less than two right angles. Axis. — This term has... | |
| Walter William Rouse Ball - 1908 - 522 Seiten
...Among Euclid's axioms and postulates is one on parallel lines, which is usually stated iu the form that **if a straight line meets two straight lines, so as to make the** sum of the two interior angles on the same side of it taken together less than two right angles, then... | |
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