 | Timothy Walker - Geometry - 1829 - 158 pages
...lines cannot inclose a space. 11. All right angles are equal. 12. If a straight line meets two straight lines so as to make the two interior angles on the...taken together, less than two right angles, these straight lines being continually produced, shall at length meet upon that side upon which are the angles... | |
 | Timothy Walker - Geometry - 1829 - 138 pages
...cannot inclose a space. II. All right angles are equal. 12. .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 tkau two right angles, these straight lines being continually produced, shall at length meet upon that... | |
 | Dugald Stewart - 1829 - 418 pages
...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 - 442 pages
...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... | |
 | 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,... | |
 | John Radford Young - Geometry, Modern - 1833 - 240 pages
...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 - 1835 - 540 pages
...space. XI. All right angles are equal to one another. XII. " If a straight line meets two straight lines, so as to " make the two interior angles on...taken " together less than two right angles, these straight lines " being continually produced, shall at length meet upon that " side on which are the... | |
 | John Playfair - Geometry - 1836 - 148 pages
...perpendicular is greater than any given straight line. PROP. XIII. THEOR. If a straight line meet two straight lines, so as to make the two interior angles on the...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,... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...of Euclid is, that " if a straight line " meets two straight lines, so as to make the two inte" rior angles on the same side of it taken together less " than two right angles, these straight lines oeing con" tinually produced, shall at length meet upon that side " on which are the... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...Proved by showing that the alternate Zs AGK, GKD are equal. PROPOSITION. " If a right line meet two right lines, so as to make the two interior angles...it taken together less than two right angles, these right lines being continually produced, shall at length meet on that side on which are the angles which... | |
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