 | Science - 1880 - 900 pages
...straight lines, so as to make the two interior angles on the same side of it, taken together, less than two right angles, these straight lines being...upon that side on which are the angles, which are together less than two right angles." This somewhat complicated so-called axiom is only the converse... | |
 | Science - 1880 - 922 pages
...straight lines, so as to make the two interior angles on the same side of it, taken together, less than two right angles, these straight lines being...upon that side on which are the angles, which are together less than two right angles." This somewhat complicated so-called axiom is only the converse... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...straight lines, so as to make the two interior angles 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 which are the angles which are less than two right angles. [Axiom 12. Therefore the... | |
 | T S. Taylor - 1880 - 152 pages
...straight lines, so as to make the two interior angles 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 which are the angles that are less than two right angles (Seepage 100, Part III.}.... | |
 | Marianne Nops - 1882 - 278 pages
...meet two others, so as to make the two interior angles on the same side of it, taken together, less than two right angles, these straight lines being...meet upon that side on which are the angles which are together less than two right angles.' THE AXIOMS. We next have a list of nine axioms, in the original... | |
 | Joseph Hughes - Education - 1883 - 568 pages
...less than two ri^ht angles, these straight lines being continually produced, îhall at length meet on that side on which are the angles which are less than two right angles. Yes. 492 THE PRACTICAL TEACHER. Prop. 21). 3. In any right-angled triangle, the square which is described... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...two straight lines, so as to make the two interior angles 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 which are the angles which are less than two right angles. PROPOSITION I. PROBLEM.... | |
 | Euclides - 1883 - 176 pages
...two straight lines, so as to make the two interior angles 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 which are the angles less than two right angles " (see I. 29, Cor.) The first eight... | |
 | Science - 1892 - 448 pages
...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 less than two right-angles." All the popular text-books on elementary geometry employ this axiom either in this form... | |
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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... 
