 | Eucleides - 1860 - 396 pages
...opposite angle upon the same side, And also the two internal angles on the . same side, together equal to two right ^ angles. These straight lines being continually produced, shall at length meet upon that side on which are the angles which are less than tiro right angles. f They are equidistant. They are parallel... | |
 | Euclides - 1862 - 172 pages
...X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XII. ' If a straight line meets two straight lines, so as...continually produced, shall at length meet upon that side on which are the angles which are less than two right angles.' PROP. I. — PROBLEM. To describe an... | |
 | Euclides - 1862 - 140 pages
...cannot inclose 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. EXPLANATION OF TERMS. A... | |
 | Euclides - 1863 - 122 pages
...two interior angles on the same side of it, \ 12. If a straight line meets two straight lines, so as straight lines, being continually produced, shall at \ length meet upon that side on which are the angles taken together, less than two right angles, these \ v/L,icb are less than two... | |
 | Euclides - 1863 - 74 pages
...the two interior angles on the same side of it taken together less than two right angles, these two straight lines, being continually produced, shall at length meet upon that side on which the angles are less than two right angles. " Two st. lines which intersect one another, cannot... | |
 | Euclides - 1864 - 448 pages
...part. X. Two straight lines cannot enclose a space. XL All right angles are equal to one another. XII. If a straight line meets two straight lines, so as...continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSITION I. PROBLEM. To describe an... | |
 | Robert Potts - 1865 - 528 pages
...part. X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. xn. If a straight line meets two straight lines, so as...continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSIT1ON I. PROBLEM. To describe an... | |
 | Euclides - 1865 - 402 pages
...properties of parallel lines. Enclid gets over the difficulty by assuming the following as an axiom : — ' If a straight line meets two straight lines, so as...right angles ; these straight lines being continually prodnced, shall at length meet upon that side on which are the angles which are less than two right... | |
 | Edward Clarke Lowe - 1866 - 172 pages
...part. 10. Two straight lines cannot enclose a space. 11. All right angles are equal to one another. 12. If a straight line meets two straight lines so...continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. BOOK II. • Definitions. 1. Every right-angled... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...therefore the angles BGH, GHD are together less than two right angles. But 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. [Axiom 12. Therefore the... | |
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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... 
