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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 Plane Geometry - Side 34
av Charles Austin Hobbs - 1899 - 240 sider
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 sider
...readily accepted as an axiom than Euclid's, which is, " 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, these straight lines, being continually produced, shall...
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The national encyclopædia. Libr. ed, Volum 2

National cyclopaedia - 1884 - 642 sider
...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,...
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Mathematical Questions with Their Solutions: From the ..., Volumer 40-42

1884 - 434 sider
...proved that all right angles are equal.* Axiom XII. : — "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...
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A Short History of Greek Mathematics

James Gow - 1884 - 350 sider
...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...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volum 1

Euclides - 1884 - 182 sider
...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 angles on the same side of it taken together less than two right angles, these straight lines,being continually produced, shall...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 sider
...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 taken together less than two right angles; these straight lines being continually produced, shall...
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Stewart's guide-book to the queen's scholarship and certificate examinations ...

Stewart W. and co - 1884 - 146 sider
...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 angles on the same side of it, taken together, less than two right angles, these straight lines being continually produced shall...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 sider
...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 it taken together less than two right angles, these straight lines being continually produced, shall...
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Mathematical Questions and Solutions, Volum 42

1885 - 150 sider
...proved that all right angles are equal.* Axiom XII.: — " 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 linos being continually produced, shall...
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The Teaching and History of Mathematics in the United States

Florian Cajori - 1890 - 412 sider
...generally called the twelfth, by some the eleventh "axiom :" " 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, these straight lines, being continually produced, shall...
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