 | Euclides, Frederick Burn Harvey - 1880 - 178 pągines
...lines cannot enclose space. 11. All right angles are equal to one another. 12. If a straight line meets two straight lines so as to make the two interior...taken together, less than two right angles, these straight lines being continually produced shall at length meet upon that side on which are the angles... | |
 | 1880 - 924 pągines
...his six al-ijiiara (requests) Euclid says : "Let it be granted that if a straight line meet two other straight lines, so as to make the two interior angles...taken together, less than two right angles, these straight lines being continually produced shall at length meet upon that side on which are the angles,... | |
 | 1880 - 900 pągines
...his six alrrjuara (requests) Euclid says : " Let it be granted that if a straight line meet two other straight lines, so as to make the two interior angles...taken together, less than two right angles, these straight lines being continually produced shall at length meet upon that side on which are the angles,... | |
 | William Stanley Jevons - 1880 - 370 pągines
...Give the logical opposites, converse and contrapositive, of 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... | |
 | 1881 - 504 pągines
...and explain the difficulty of assuming as an axiom (Euclid's axiom xn.) that 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 right angles these straight lines continually produced shall meet. Explain what is meant by exterior,... | |
 | Charles Scott Venable - 1881 - 380 pągines
...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 pągines
...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... | |
 | Marianne Nops - 1882 - 278 pągines
...together equal to two right Zs .'. the Zs BGH, GHD are together less than two right ZB (I. 13). But if a straight line meet two straight lines, so as to make the two interior Z a on the same side of it, taken together, less than two rt. Z s, these straight lines being produced... | |
 | Edward Royall Tyler, William Lathrop Kingsley, George Park Fisher, Timothy Dwight - 1883 - 872 pągines
...axiom from that given by 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...it taken together less than two right angles^ these straight lines, being continually produced, shall at length meet on that side, on which are the angles,... | |
 | Euclid, Isaac Todhunter - 1883 - 428 pągines
...two right angles ; [1. 18. therefore the angles BGH, GHD are together less than two right angles. But if a straight line meet two straight lines, so as...taken together, less than two right angles, these straight lines being continually produced, shall at length meet on that side on which are the angles... | |
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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... 
