| 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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