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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 Plane Geometry - Side 34
av Charles Austin Hobbs - 1899 - 240 sider
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 sider
...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 the same side of it taken together " less than two right angles, these straight lines being con" tinually produced,...
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Elements of the Philosophy of the Human Mind, Volum 2

Dugald Stewart - 1814
...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 pro" duced, will...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 sider
...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 same " side of it taken together less than two right angles, these straight " lines being continually produced, shall...
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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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...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 same side of it taken together less than two right angles, these straight lines being continually produced, shall...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...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 angles on the same side of. " it taken together less than two right angles, these " straight lines being continually produced,...
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Elements of Geometry: With Notes

John Radford Young - 1827 - 208 sider
...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 of it, taken together, less than two right angles, these straight lines being continually produced shall...
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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
...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...
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The Works of Dugald Stewart: Elements of the philosophy of the human mind

Dugald Stewart - 1829
...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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