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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: With Practical Applications, for the Use of Schools - Page xiv
by Timothy Walker - 1829 - 129 pages
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...cannot enclose a space. 11. All right angles are equal to one another. 12. If a straight line meet two straight lines, so as to make the two interior...lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. PROPOSITION I. PROBLEM....
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Volume 3

Moffatt and Paige - 1883 - 514 pages
...equal to two right angles (1. 13), therefore the angles BGH, GHD are less than two right angles. But if a straight line meets two straight lines so as...than two right angles, these straight lines, being continuallyproduced, shall at length meet on that side on which are the angles that are less than two...
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Stewart's guide-book to the queen's scholarship and certificate examinations ...

Stewart W. and co - 1884 - 146 pages
...rhombus is a four-sided figure which has all its sides equal, but its angles are not right angles. 3. If a straight line meets two straight lines so as...continually produced shall at length meet upon that side on which are the angles which are less than two right angles. Show that the following definitions are...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...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...continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. , PROPOSITION I. PROBLEM. To describe...
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Mathematical Questions with Their Solutions: From the ..., Volumes 40-42

1884 - 434 pages
...AB would coincide with EF ; and thus is it proved that all right angles are equal.* Axiom XII. : — "If a straight line meets two straight lines, so as...continually produced, shall at length meet upon that side on which are the angles which arc less than two right angles." Dr. Simson, admitting that this is not...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...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...continually produced, shall at length meet upon that side on which are the angles which are less than two right angles." PROPOSITION I. To describe an equilateral...
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The national encyclopędia. Libr. ed, Volume 2

National cyclopaedia - 1884 - 642 pages
...meets two other straight lines, so as to make the two interior angles on the same side of it, taken j together, less than two right angles ; these straight...continually produced, shall at length meet upon that side on which are the angles, which are less than two right angles." This is by no means self-evident, for...
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Mathematical Questions and Solutions, from the "Educational Times ..., Volume 42

W. J. C. Miller - Mathematics - 1885 - 154 pages
...with EF ; and thus is it proved that all right angles are equal.* Axiom XII. : - " If a straight lino meets two straight lines, so as to make the two interior...continually produced, shall at length meet upon that side on which are the angles which are less than two right angles." Dr. Simson, admitting that this is not...
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Transactions and Proceedings of the New Zealand Institute, Volume 18

New Zealand Institute - Science - 1886 - 530 pages
..." If a straight line meets two straight lines, so as to make the two interior angles on the same I side of it taken together less than two right angles,...continually produced shall at length meet upon that side on which are the angles which are less than two right angles." In other words, if the angle I 0 A li...
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A Mathematical Solution Book Containing Systematic Solutions to Many of the ...

Benjamin Franklin Finkel - Mathematics - 1888 - 518 pages
...so as to make the two interior angles *For definitions of geometrical magnitudes, see Mensuration. on the same side of it taken together less than two...lines being continually produced shall at length meet on that side< on which are the angles which are less than, two right angles. An axiom must possess...
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