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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... "
Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ... - Seite 294
von Sir John Leslie - 1817 - 432 Seiten
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 Seiten
...cannot enclose a space. XI. All right angles afe equal to one another. XII. " If a straight line meet two straight lines, so as to make the two " interior...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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American Edition of the British Encyclopedia: Or, Dictionary of Arts ..., Band 9

William Nicholson - 1821 - 406 Seiten
...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 produced, will at length meet on the side on which the angles are that are less than two right angles. This proposition, however, is...
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Elements of the Philosophy of the Human Mind, Band 2

Dugald Stewart - 1821 - 348 Seiten
...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 Seiten
...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...angles, these straight lines being continually produced, shall at length meet upon that side on which are the angles which are lest than two right angles."...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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

Robert Simson - 1827 - 546 Seiten
...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...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."...
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Elements of Geometry: With Notes

John Radford Young - 1827 - 228 Seiten
...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 - 156 Seiten
...greater than its part. 10. Two straight lines cannot inclose a space. 11. All right angles are equal. 12. If a straight line meets two straight lines so as...angles, these straight lines being continually produced, shall at length meet upon that side upon which are the angles which are less than two right angles....
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - 1829 - 138 Seiten
...greater than its part. 10. Two straight lines cannot inclose a space. II. All right angles are equal. 12. .If a straight line meets two straight lines so as...angles on the same side of it taken together, less tkau two right angles, these straight lines being continually produced, shall at length meet upon that...
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The Works of Dugald Stewart: Elements of the philosophy of the human mind

Dugald Stewart - 1829 - 442 Seiten
...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 right angles, these two straight lines, though indefinitely produced, will never...
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