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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... "
Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ... - Seite 294
von Sir John Leslie - 1817 - 432 Seiten
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 Seiten
...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 - 448 Seiten
...part. X. Two straight lines cannot enclose a space. XL All right angles are equal to one another. XII. If a straight line meets two straight lines, so as...; these straight lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSITION...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 Seiten
...than the properties of parallel lines. Enclid gets over the difficulty by assuming the following as an axiom : — ' If a straight line meets two straight...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 Seiten
...part. X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. xn. If a straight line meets two straight lines, so as...; these straight lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSIT1ON...
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An English primer; compiled under the superintendence of E.C. Lowe

Edward Clarke Lowe - 1866 - 172 Seiten
...part. 10. Two straight lines cannot enclose a space. 11. All right angles are equal to one another. 12. If a straight line meets two straight lines so as...these straight lines, being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. BOOK...
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The celebrated theory of parallels. Demonstration of the celebrated theorem ...

Matthew Ryan - 1866 - 50 Seiten
...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 - 426 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...angles, these straight lines being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. [Axiom...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 Seiten
...cannot enclose 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...these straight lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. PROPOSITION...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 Seiten
...part. X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. xn. If a straight line meets two straight lines, so as...; these straight lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSITION...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 Seiten
...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 to make the two in- QA (j| p terior angles on the same side of it taken together less than two right angles, these...
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