 | William Stanley Jevons - 1880 - 370 pagina’s
...Euclid's (so-called) twelfth axiom — If a straight line meet two straight lines, so as to make the interior angles on the same side of it taken together less than two right angles, those straight lines being continually produced shall at length meet upon that side on which are the... | |
 | 1881 - 504 pagina’s
...others that have been suggested, and explain the difficulty of assuming as an axiom (Euclid's axiom xn.) that if a straight line meets two straight lines so...angles on the same side of it taken together less than right angles these straight lines continually produced shall meet. Explain what is meant by exterior,... | |
 | Charles Scott Venable - 1881 - 380 pagina’s
...then, since EFD + HFD = two right angles, we must have GEB — EFD. Therefore (3) AB is parallel to CD. lines so as to make the two interior angles on the same side of it less than two right angles, these straight lines being continually produced will meet on the side on... | |
 | Euclides - 1881 - 236 pagina’s
...another. xn If a straight line meets two straight lines, no as to make the two interior angles on thr same side of it, taken together, less than two right angles, these straight lines, oeing continually produced, shall at length meet T upon that side on which are the angles which \ are... | |
 | Marianne Nops - 1882 - 278 pagina’s
...is with these that the sixth postulate deals. It tells us that ' If a straight line meets two other straight lines so as to make the two interior angles...it, taken together less than two right angles, these lines, being continually produced, shall at length meet upon that side on which are the angles which... | |
 | Edward Royall Tyler, William Lathrop Kingsley, George Park Fisher, Timothy Dwight - 1883 - 872 pagina’s
...Euclid, or put Euclid's axiom in a different form. Thus Euclid's axiom is, "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. This axiom is a puzzling... | |
 | Euclid, Isaac Todhunter - 1883 - 428 pagina’s
...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. PROPOSITION I. PROBLEM.... | |
 | Moffatt and Paige - 1883 - 516 pagina’s
...equal to two right angles (1. 13), therefore the angles BGH, GHD are less than two right angles. But if a straight line meets two straight lines so as...than two right angles, these straight lines, being continuallyproduced, shall at length meet on that side on which are the angles that are less than two... | |
 | Joseph Hughes - 1883 - 568 pagina’s
...interior angles on the same side toeether equal to two right angles. Axiom xii. If a straight line meet two straight lines so as to make the two interior...on the same side of it taken together less than two ri^ht angles, these straight lines being continually produced, îhall at length meet on that side on... | |
 | 1892 - 448 pagina’s
...axiomatic.3 This is the axiom of parallels, which reads as follows : — " If a straight line meet two straight lines so as to make the two interior...on the same side of it taken together less than two right-angles, these straight lines, being continually produced, shall at length meet on that side on... | |
| |
If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... 
