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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... "
Euclid's plane geometry, practically applied; book i, with explanatory notes ... - Side 17
av Euclides - 1863
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 sider
...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 con" tinually produced, shall at length meet upon that side on " which are the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 sider
...the " two interior angles on the same side of it 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 which are less than two right Angles. See the " notes on prop. 29. of Book I." a 3....
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Elements of the Philosophy of the Human Mind, Volum 2

Dugald Stewart - 1814
...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 and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - 1817 - 432 sider
...equation,) a principle which is equivalent to Euclid's 12th axiom, (If a straight line meets two straight lines, so as to make the two interior angles on the...it taken together less than two right angles, these straight lines, being continually produced, will at length meet on 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 - 1819 - 317 sider
...is accounted the 10th. The 12th Axiom of Euclid is, that " if a straight line meets two " straight lines, so as to make the two interior angles on the...it 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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Elements of the Philosophy of the Human Mind, Volum 2

Dugald Stewart - 1821
...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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The First Six Books with Notes

Euclid - 1822 - 179 sider
...internal angles on the same side of it gee ff. 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, which are less than two right angles. u angles • 12 V' Elements of Euclid. Fig. 12....
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...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 angles on the...it 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: With Notes

John Radford Young - 1827 - 208 sider
...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...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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