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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... "
Euclid, book i., propositions i. to xxvi., with exercises and alternative ... - Pàgina 7
per Euclides - 1877
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 pàgines
...X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XII. " If a straight line meet two straight lines, so as...it taken together less than two right angles, these " straight lines being continually produced, shall at " length meet upon that side on which are the...
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Elements of Geometry: With Notes

John Radford Young - 1827 - 228 pàgines
...subjoined the following corollary, viz., " It follows from this, that if two lines are cut by a third line, so as to make the two interior angles on the same side less than two right angles, these lines produced will meet, and form a triangle ;" from a slight examination,...
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - 1829 - 156 pàgines
...straight lines cannot inclose a space. 11. All right angles are equal. 12. If a straight line meets two straight lines so as to make the two interior...taken together, less than two right angles, these straight lines being continually produced, shall at length meet upon that side upon which are the angles...
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - 1829 - 138 pàgines
...straight lines cannot inclose a space. II. All right angles are 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 together, less tkau two right angles, these straight lines being continually produced, shall at length meet upon that...
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The Works of Dugald Stewart: Elements of the philosophy of the human mind

Dugald Stewart - 1829 - 418 pàgines
...Euclid's Elements. When it is asserted, for example, that " if one straight line falls on two other straight lines, so as to make the two interior angles on the same side together equal to two right angles, these two straight lines, though indefinitely produced, will never...
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The Works of Dugald Stewart: Elements of the philosophy of the human mind

Dugald Stewart - 1829 - 442 pàgines
...Euclid's Elements. When it is asserted, for example, that " if one straight line falls on two other straight lines, so as to make the two interior angles on the same side together equal to two right angles, these two straight lines, though indefinitely produced, will never...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 548 pàgines
...Two straight lines cannot enclose a space. \ i . All right angles are equal to one another. XII. I "If a straight line meet two straight lines, so as to make the two i% f " interior angles on the same side of it taken together less r" than two right angles, these straight...
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Elements of Geometry with Notes

John Radford Young - 1833 - 240 pàgines
...proportional. From this general proposition Legendre is enabled to demonstrate Euclid's twelfth axiom, viz. ; If a straight line meet two straight lines so as to make the two interior angles on the same side \T> HAUM T> of it, taken together, less than two right angles, these straight lines being continually...
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The First Six Books of the Elements of Euclid: With Notes

Euclid - 1833 - 216 pàgines
...equal to one another. 12. If a right line meet two right lines, so as to make See N. .the two internal angles on the same side of it taken together less than two right angles ; these right lines, being continually produced, shall at length meet upon that side on which are the angles,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pàgines
...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...taken " together less than two right angles, these straight lines " being continually produced, shall at length meet upon that " side on which are the...
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