| Euclides - 1881
...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
...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
...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 - 400 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. PROPOSITION I. PROBLEM.... | |
| Moffatt and Paige - 1883
...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
...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... | |
| John Michels (Journalist) - 1892
...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 - 96 Seiten
...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
...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 - 1884 - 323 Seiten
...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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