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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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An introduction to geometry, consisting of Euclid's Elements, book ..., Volum 1

Euclides - 1884
...to discuss it until we have made some further progress in the subject. 12. If a straight line meet two straight lines so as to make the two interior...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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A Short History of Greek Mathematics

James Gow - 1884 - 323 sider
...straight lines cannot enclose a space: 11. All right angles are equal: 12. If a straight line meet two straight lines, so as to 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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The elements of plane geometry, Volum 1

Mathematical association - 1884
...together less than two right angles, the two straight lines will meet, if continually produced, on the side on which are the angles which are less than two right angles. *Ex. 43. If two straight lines are respectively parallel to two other straight lines, the angles made...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - 1884
...together less than two right angles, the two straight lines will meet, if continually produced, on the side on which are the angles which are less than two right angles. *Ex. 43. If two straight lines are respectively parallel to two other straight lines, the angles made...
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Mathematical Questions and Solutions, from the "Educational Times ..., Volum 42

W. J. C. Miller - 1885
...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...the angles which are less than two right angles." Dr. Simson, admitting that this is not self-evident, demonstrates the truth of it by the aid of five...
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Mathematical Questions and Solutions, Volum 42

1885
...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...together, less than two right angles, these straight linos being continually produced, shall at length meet upon that side on which are the angles which...
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Transactions and Proceedings of the New Zealand Institute, Volum 18

New Zealand Institute - 1886
...equivalence of the three forms of the parallel-axiom mentioned in my paper. Form (a), (Euclid's) is : — " 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, these straight lines being continually produced...
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A Mathematical Solution Book Containing Systematic Solutions to Many of the ...

Benjamin Franklin Finkel - 1888 - 481 sider
...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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The Teaching and History of Mathematics in the United States, Volumer 890-893

Florian Cajori - 1890 - 400 sider
...consists in what is generally called the twelfth, by some the eleventh "axiom :" " 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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