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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... "
Mathematical Questions and Solutions - Side 132
1885
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 sider
...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,...together " less than two right angles, these straight lines being con" tinually produced, shall at length meet upon that side on " which are the angles Which...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 sider
...Euclid is, that ' If a straight line ' meet two straight lines so as to make the two interior an' gles on the same side of it taken together less than two right ' angles, these straight lines being continually produced will, ' at length meet upon that side on which are the angles which...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 sider
...cannot enclose 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...together less " than two right angles, these straight lines being continually " produced, shall at length meet upon that side on which are " the angles which...
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Elements of the Philosophy of the Human Mind, Volum 2

Dugald Stewart - 1814 - 560 sider
...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 righl 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 - 1819 - 354 sider
...Axioms, und that which was before the llth is accounted the 10th. The 12th Axiom of Euclid is, that " if a straight line meets two " straight lines, so...together less than two right angles, these straight " lines being continually produced, shall at length meet upon that " side on which are the angles which...
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Elements of the Philosophy of the Human Mind, Volum 2

Dugald Stewart - 1821 - 348 sider
...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 tw.% * Philosophical Essays, pp. 94, ?5, 4to edit. " right angles, these two straight...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 sider
...part. 10. Twfc«».^^^ lines cannot inclose a space. 11. AH right angles are equal to one another. 12." If a straight line meets two straight lines so as...together less than two right angles, these straight lines being continually produced, shall at length meet upon that side on which are the angles which...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 326 sider
...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 to make the two interior...together less than two right angles, these straight " lines being eontinually produeed, shall at length meet upon that *' side on whieh are the angles...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 sider
...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...together less than two right angles, these " straight lines being continually produced, shall at " length meet upon that side on which are the angles " which...
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Elements of Geometry: With Notes

John Radford Young - 1827 - 228 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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