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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, these straight lines being continually produced, shall at length meet upon that side on which are the... "
The Elements of Euclid: In which the Propositions are Demonstrated in a New ... - Page x
by Euclid - 1776 - 264 pages
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...one another. IX. The whole is greater than its 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 to make the two interior angles on the same side of it...
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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852 - 148 pages
...space; in Jig. 2. a third straight line could be drawn across the other two so as to 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 angles on the same side of it...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 pages
...one another. IX. The whole is greater than its part. 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 to make the two interior angles on the same side of it...
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The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Book 1

Euclides - Geometry - 1853 - 334 pages
...one another. IX. The whole is greater than its part. X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. XII. If a straight line cut two straight lines, so as to make the two interior angles on the same side of it,...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 258 pages
...the whole is equal to all its parts taken together." at X. Two straight Unes 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 angles on the \ same side...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 361 pages
...one another. IX. The whole is greater than its part. 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 to make the two interior angles on the same side of it...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...one another. IX. The whole is greater than its 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, so as to make the two interior angles on the same side of it,...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...one another. IX. The whole is greater than its part. 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 to make the two interior angles on the same side of it...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 266 pages
...one another. IX. The whole is greater than its part. 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, •o as to make the two interior angles on the same side of...
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