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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... "
Euclid's Elements of geometry, books i. ii. iii. iv - Seite 4
von Euclides - 1862
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 Seiten
...cannot inclose 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...lines being continually produced, shall at length meet " upon that side on which are the angles which are less " than two right angles." PROPOSITIONS. PROPOSITION...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 Seiten
...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 - 1846
...part. 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...lines, being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. A proposition is something...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...part. 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...lines, being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. A proposition is something...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...cannot enclose a space. xi. All right angles are equal to one another. xn. If a straight line falls upon two straight lines, so as to make the two interior angles on the same side of it together less than two right angles, those straight lines, being continually produced, shall at length...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 Seiten
...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 First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847
...6). 11. All right angles are equal to one another. (See Definition 10.) 12. If a straight line meets two straight lines, so as to make the two interior...lines, being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. An Axiom is a self-evident...
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Elements of the Philosophy of the Human Mind: In Two Parts, Teil 1

Dugald Stewart - 1847 - 627 Seiten
...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
...part. X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XII. If a straight line meet two straight lines, so as...lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSITIONS. PROP. I....
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 108 Seiten
...cannot inclose a space. XI. All right angles are equal to one another. XIL " If a straight line meets two straight lines, so as to make the two interior...lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles." PROPOSITION I. PROBLEM....
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