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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... "
The Elements of Euclid [book 1] for beginners, by J. Lowres - Page 10
by Euclides - 1852
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Elements of Geometry: With Practical Applications, for the Use of Schools

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...
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Elements of Geometry: With Practical Applications, for the Use of Schools

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...
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The Works of Dugald Stewart: Elements of the philosophy of the human mind

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...
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The Works of Dugald Stewart: Elements of the philosophy of the human mind

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...
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The First Six Books of the Elements of Euclid: With Notes

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,...
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Elements of Geometry with Notes

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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The Element of Geometry

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,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...
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A companion to Euclid: being a help to the understanding and remembering of ...

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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