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" If a straight line meet 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, based on Euclid, books i-iii - Side 9
av Edward Atkins - 1876 - 119 sider
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Science, Volum 20

1892
...at least one which is not axiomatic.3 This is the axiom of parallels, which reads as follows : — " If a straight line meet two straight lines so as to...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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The Practical Teacher; with which is Incorporated the Practical ..., Volum 2

Joseph Hughes - 1883
...; and also the two 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...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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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
...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...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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Mathematical Questions with Their Solutions: From the ..., Volumer 40-42

1884
...and thus is it proved that all right angles are equal.* Axiom 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 arc less than two right angles." Dr. Simson, admitting...
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Stewart's guide-book to the queen's scholarship and certificate examinations ...

Stewart W. and co - 1884
...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 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. Show that the following...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volum 1

Euclides - 1884
...be much better, however, not to discuss it until we have made some further progress in the subject. 12. If a straight line meet two straight lines so...together less than two right angles, these straight lines,being continually produced, shall at length meet on that side on which are the angles which are...
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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...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. To describe...
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A Short History of Greek Mathematics

James Gow - 1884 - 323 sider
...which the last three are 10. Two straight lines cannot enclose a space: 11. All right angles are equal: 12. If a straight line meet two straight lines, so...make the two interior angles on the same side of it together less than two right angles, these straight lines will meet if produced on that side. Of these...
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The national encyclopædia. Libr. ed, Volum 2

National cyclopaedia - 1884
...as stated by Euclid it is not a true axiom. It runs thus — 44 If a straight line 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 lines, being continually produced, shall at...
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