 | Euclides - Euclid's Elements - 1881 - 236 pages
...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 pages
...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 - United States - 1883 - 872 pages
...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 - Euclid's Elements - 1883 - 428 pages
...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 pages
...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 - Education - 1883 - 568 pages
...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... | |
 | Science - 1892 - 448 pages
...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... | |
 | Euclides - 1883 - 176 pages
...Note.— The converse of this proposition, that "if a straight line meeting two other straight lines make the two interior angles on the same side of it taken together less than two right angles, the two lines will, if produced tar enough) meet on that Bide on which are the angles less than two... | |
 | Euclides - 1884 - 182 pages
...to discuss it until we have made some further progress in the subject. 12. If a straight line meet two straight lines so as to make the two interior...together 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... | |
 | James Gow - Mathematics - 1884 - 350 pages
...straight lines cannot enclose a space: 11. All right angles are equal: 12. If a straight line meet 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 will meet if produced on that side. Of these... | |
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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... 
