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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... "
Scientific and practical geometry for self-instruction - Side 14
av Rolla Rouse - 1879
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The Monthly review. New and improved ser, Volum 26

1798 - 618 sider
...they meet a third line, make the alternate angles with it equal, Eu~; cljj assumée this axiom : " If a straight line meets two straight ' lines, so as to make the two interior angle's on the same side ' of it .less than two right angles, these straight lines, being CQniinfwtly...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 sider
...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, so as...of it taken together " less than two right angles, these straight lines being con" tinually produced, shall at length meet upon that side on " which are...
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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...
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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...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...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 sider
...Tvio strzLJ?ht lilies canncrt inclose a spare. XI. All riirfct angles are equal to one another. XII. " If a straight line meets two straight lines, so as to make " the two Lriterior angles on the same ade of it taken to" gether less than two right angles, these straight...
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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...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...
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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...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...
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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...side of it taken together less than two right angles, these straight " lines being eontinually produeed, shall at length meet upon that *' side on whieh...
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