 | Robert Simson - Trigonometry - 1827 - 546 pages
...cannot inclose a space. XI. All right angles are equal to one another. XII. " If a straight line meet two straight lines, so as to " make the two interior...than two right angles, these " straight lines being continually produced, shall at " length meet upon that side on which are the angles " which are less... | |
 | John Radford Young - Euclid's Elements - 1827 - 228 pages
...subjoined the following corollary, viz., " It follows from this, that if two lines are cut by a third line, so as to make the two interior angles on the same side less than two right angles, these lines produced will meet, and form a triangle ;" from a slight examination,... | |
 | Timothy Walker - Geometry - 1829 - 156 pages
...greater than its part. 10. Two straight lines cannot inclose a space. 11. All right angles are equal. 12. If a straight line meets two straight lines so as...than two right angles, these straight lines being continually produced, shall at length meet upon that side upon which are the angles which are less... | |
 | Timothy Walker - Geometry - 1829 - 138 pages
...greater than its part. 10. Two straight lines cannot inclose a space. II. All right angles are equal. 12. .If a straight line meets two straight lines so as...angles on the same side of it taken together, less tkau two right angles, these straight lines being continually produced, shall at length meet upon that... | |
 | Dugald Stewart - 1829 - 442 pages
...Euclid's Elements. When it is asserted, for example, that " if one straight line falls on two other straight lines, so as to make the two interior angles on the same side together equal to two right angles, these two straight lines, though indefinitely produced, will never... | |
 | Dugald Stewart - 1829 - 418 pages
...Euclid's Elements. When it is asserted, for example, that " if one straight line falls on two other straight lines, so as to make the two interior angles on the same side together equal to two right angles, these two straight lines, though indefinitely produced, will never... | |
 | John Radford Young - Geometry, Modern - 1833 - 240 pages
...proposition Legendre is enabled to demonstrate Euclid's twelfth axiom, viz. ; If a straight line meet two straight lines so as to make the two interior angles on the same side \T> HAUM T> of it, taken together, less than two right angles, these straight lines being continually... | |
 | Euclid - Euclid's Elements - 1833 - 216 pages
...equal to one another. 12. If a right line meet two right lines, so as to make See N. .the two internal angles on the same side of it taken together less than two right angles ; these right lines, being continually produced, shall at length meet upon that side on which are the angles,... | |
 | Euclid - 1835 - 540 pages
...part. X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. XII. " If a straight line meets two straight lines,...than two right angles, these straight lines " being continually produced, shall at length meet upon that " side on which are the angles which are less... | |
 | John Playfair - Euclid's Elements - 1835 - 336 pages
...self-evident propositions. It is therefore removed from among the Axioms. The 12th Axiom of Euclid is, 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 two right angles, these straight lines being continually... | |
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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... 
