 | 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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If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... 
