 | 1880 - 900 sider
...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...lines being continually produced shall at length meet upon that side on which are the angles, which are together less than two right angles." This somewhat... | |
 | 1880 - 922 sider
...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...lines being continually produced shall at length meet upon that side on which are the angles, which are together less than two right angles." This somewhat... | |
 | T S. Taylor - 1880 - 152 sider
...produced to any length, still remain ev(.ry where the same distance apart. Euclid's twelfth Axiom. If a straight line meet two straight lines, so as...side of it taken together less than two right angles, those straight lines being continually produced, shall at length meet on that side on which are the... | |
 | William Stanley Jevons - 1880 - 370 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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... | |
 | Moffatt and Paige - 1883 - 516 sider
...(1. 13), therefore the angles BGH, GHD are less than two right angles. But if a straight line meets two straight lines so as to make the two interior...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... | |
 | 1892 - 448 sider
...at least one which is not axiomatic.3 This is the axiom of parallels, which reads as follows : — " If a straight line meet two straight lines so as to...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... | |
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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... 
