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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... "
The first six books of the Elements of Euclid, with numerous exercises - Seite 4
von Euclides - 1853 - 147 Seiten
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Mensuration of lines, areas, surfaces, and volumes

Robert Rawson - 1856
...X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. xn. " If a straight line meets two straight lines, so as...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
...must be equal ; and consequently the angles measured by those equals must themselves be equal. 12. If a straight line meets two straight lines, so as...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 plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...to make the two int. ¿_a on the same side of it taken together less than two rt. ¿s, these two st. lines, being continually produced, shall at length meet upon that side on which the ¿s are less than two rt. ¿_a. Dof. 10, I. When a st. line standing on another st. line makes...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...cannot inclose 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. EXPLANATION OF TERMS. A...
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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 College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...one another. IX. The whole is greater than its part. X Two straight lines cannot inclose a space. XL All right angles are equal to one another. XII. '...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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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 317 Seiten
...self-evident propositions. It is therefore removed from among the Axioms. The 12th Axiom of Euclid is, that " if a straight line meets two straight lines, so as...produced, shall at length meet upon that side on which are th*i angles "which ire less than two right angles." Instead of this proposition, which, though true,...
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The celebrated theory of parallels. Demonstration of the celebrated theorem ...

Matthew Ryan - 1866
...lines (AB, С D) which are in the same plane, so as to make the two interior angles (BA С, A С D) ore the same side of it, taken together, less than two right angles, these two straight lines (А В, С D) shall at length meet upon that side, if sufficiently produced. Draw...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 Seiten
...therefore the angles BGH, GHD are together less than two right angles. But 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. [Axiom 12. Therefore the...
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