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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... "
The Elements of Euclid, containing the first six books, with a selection of ... - Side 6
av Euclides - 1874
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...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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New Englander and Yale Review, Volum 42

Edward Royall Tyler, William Lathrop Kingsley, George Park Fisher, Timothy Dwight - 1883
...Euclid, or put Euclid's axiom in a different form. Thus Euclid's axiom is, "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. This axiom is a puzzling...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Volum 3

Moffatt and Paige - 1883
...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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The Practical Teacher; with which is Incorporated the Practical ..., Volum 2

Joseph Hughes - 1883
...interior angles on the same side toeether equal to two right angles. Axiom xii. If a straight line meet two straight lines so as to make the two interior...on the same side of it taken together less than two ri^ht angles, these straight lines being continually produced, îhall at length meet on that side on...
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Science, Volum 20

1892
...axiomatic.3 This is the axiom of parallels, which reads as follows : — " If a straight line meet two straight lines so as to make the two interior...on the same side of it taken together less than two right-angles, these straight lines, being continually produced, shall at length meet on that side on...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 sider
...Note.— The converse of this proposition, that "if a straight line meeting two other straight lines make the two interior angles on the same side of it taken together less than two right angles, the two lines will, if produced tar enough) meet on that Bide on which are the angles less than two...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...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...are the angles which are less than two right angles. , PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finite straight line. GIVEN...
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Stewart's guide-book to the queen's scholarship and certificate examinations ...

Stewart W. and co - 1884
...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...are the angles which are less than two right angles. Show that the following definitions are incomplete : — " Of quadrilateral figures, a square has all...
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Mathematical Questions with Their Solutions: From the ..., Volumer 40-42

1884
...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...meet upon that side on which are the angles which arc less than two right angles." Dr. Simson, admitting that this is not self-evident, demonstrates...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...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...the angles which are less than two right angles." PROPOSITION I. To describe an equilateral triangle on a given finite straight line. Let AB be the given...
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