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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... "
Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856) - Page 60
edited by - 1854
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...part. X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XII. " If a straight line meets two straight lines,...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...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...part. X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XII. If a straight line meets two straight lines,...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...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...to one another. |j 12. If a straight line meet two other straight lines which are in the same plane, so as to make the two interior angles on the same...together, less than two right angles, these straight lines shall at length meet upon that side, if they be continually produced.^ * ln this axiom and the following,...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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...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...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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...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...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...to two right angles, and therefore the angles BEF, EFD are together less than two right angles : But If a straight line meets two straight lines, so as...make the two interior angles on the same side of it together less than two right angles, these straight lines, being continually produced, shall at length...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...impossible (Note on Definition 6). 11. All right angles are equal to one another. (See Definition 10.) 12. If a straight line meets two straight lines, so as...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...
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Elements of the Philosophy of the Human Mind: In Two Parts, Part 1

Dugald Stewart - Psychology - 1847 - 666 pages
...Euclid's Elements. When it is assorted, for example, that " if one straight line falls on two other straight lines, so as to make the two interior angles on the san»« side together equal to two right angles, these two straight lines, though indefinitely produced,...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...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...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...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...x. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XIL " If a straight line meets two straight lines, so as...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...
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