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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... "
A History of Elementary Mathematics: With Hints on Methods of Teaching - Side 71
av Florian Cajori - 1896 - 304 sider
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 sider
...cannot enclose a 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...than two right angles, these straight lines being con" tinually produced, shall at length meet upon that side on " which are the angles Which are less...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 sider
...and opposite. In order to demonstrate this proposition Euclid assumes it as an axiom, Book I. that " if a straight line meet two straight lines, so as to make v^-v^/ " the interior angles on the same side of it less than two right " angles, these straight lines...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 sider
...X. Two straight lines cannot enclose 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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813 - 714 sider
...strnidit line meets twu straight line*, so as to make the two interior angles on tr.e same side of ¡t taken together less than two right angles, these straight lines being continually produce,], shall at length meet upon that side o>> which are the angles which are less tha-i two rig'it...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 sider
...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 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....
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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 - 350 sider
...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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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volum 9

William Nicholson - 1821 - 402 sider
...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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 sider
...X, Two straight lines cannot enclose a space. XI. All right angles afe equal to one another. XII. " If a straight line meet two straight lines, so as...than two right angles, these straight lines being continual" ly produced, shall at length meet upon that side on which " are the angles which are less...
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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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