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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... "
Euclid's Elements of geometry, books i. ii. iii. iv - Seite 4
von Euclides - 1862
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...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...being \ continually produced, shall at length meet ' V ' 'L upon that side on which are the angles -which \ are less than two right angles. It H admitted...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 Seiten
...therefore removed from among the Axioms. The 12th Axiom of Euclid is, that " if a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken " which are less than two right angles." Instead of this proposition, which, though true, is by no...
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Mensuration of lines, areas, surfaces, and volumes

Robert Rawson - 1856
...cannot inclose a space. XI. All right angles are equal to one another. xn. " If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together lesi than two right angles, these straight lines being continually produced, shall at length meet upon...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...consequently the angles measured by those equals must themselves be equal. 12. If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken C ^\ t^JD together less than two right angles, these two straight lines, being continually produced,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 Seiten
...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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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860
...opposite angle upon the same side, And also the two internal angles on the . same side, together equal to two right ^ angles. These straight lines being continually produced, shall at length meet upon that side on which are the angles which are less than tiro right angles. f They are equidistant....
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863
...angles measured by those equals must themselves be equal. 12. If a straight line meets two skaight lines, so as to make the two interior angles on the...it taken together less than two right angles, these two straight lines, being continually produced, shall at length meet upon that side on which the angles...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...part. j 11. All right angles are equal to one another. | 10. Two straight lines cannot enclose a space to make the two interior angles on the same side of it, \ 12. If a straight line meets two straight lines, so as straight lines, being continually produced,...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...cannot enclose a space. XL 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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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...Enclid gets over the difficulty by assuming the following as an axiom : — ' If a straight line meets two straight lines, so as to make the two interior...right angles ; these straight lines being continually prodnced, shall at length meet upon that side on which are the angles which are less than two right...
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