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" If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... "
Elements of geometry, based on Euclid, books i-iii - Side 9
av Edward Atkins - 1876 - 119 sider
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volum 9

William Nicholson - 1821
...interior and opposite. In order to demonstrate this proposition, Euclid assumed it as an axiom, that if a straight line meet two straight lines, so as to make the interior angles on the same side of it less than two right angles, these straight lines being continually...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...cannot inclose a space. 11. AH right angles are equal to one another. 12." If a straight line meets two straight lines so as to make the two interior...lines being continually produced, shall at length meet upon that side on which are the angles which are lest than two right angles." Proposition I. Problem....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 sider
...axioms, and that whieh was before the 1 tth is aeeounted the lOthr The 12th Axiom of Euelid is, that " if a straight line meet two "straight lines, so as...than two right angles, these straight " lines being eontinually produeed, shall at length meet upon that *' side on whieh are the angles whieh are less...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XII. " If a straight line meet two straight lines, so as...being continually produced, shall at " length meet upon that side on which are the angles " which are less than two right angles." See the notes on Prop....
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Elements of Geometry: With Notes

John Radford Young - 1827 - 208 sider
...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,...
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - 1829 - 129 sider
...straight 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...lines being continually produced, shall at length meet upon that side upon which are the angles which are less than two right angles. The last of these has...
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - 1829 - 129 sider
...straight lines 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 Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 516 sider
...Two straight lines cannot enclose a space. \ i . All right angles are equal to one another. XII. I "If a straight line meet two straight lines, so as to make the two i% f " interior angles on the same side of it taken together less r" than two right angles, these straight...
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The Works of Dugald Stewart: Elements of the philosophy of the human mind

Dugald Stewart - 1829
...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...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 sider
...Axioms, and that which was before the llth is accounted the 10th. The 12th Axiom of Euclid is, that " if a straight line meet two " straight lines, so as..."lines being continually produced, shall at length meet upon that " side on which are the angles which are less than two right angles." Instead of this proposition,...
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