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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... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Página 273
por John Playfair - 1855 - 318 páginas
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - 1829 - 138 páginas
...greater than its part. 10. Two straight lines cannot inclose a space. II. All right angles are equal. 12. .If a straight line meets two straight lines so as...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 - 442 páginas
...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 - 418 páginas
...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 First Six Books of the Elements of Euclid: With Notes

Euclid - 1833 - 216 páginas
...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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Elements of Geometry with Notes

John Radford Young - 1833 - 240 páginas
...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 and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 páginas
...this proposition has been demonstrated by some writers in the following manner •. the same plane, so as to make the two interior angles on the same...together, less than two right angles, these straight lines shall at length meet upon that side, if they be continually produced.* PROPOSITION I. PROBLEM.f To...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 páginas
...by showing that the alternate Zs AGK, GKD are equal. PROPOSITION. " If a right line meet two right lines, so as to make the two interior angles on the...it taken together less than two right angles, these right lines being continually produced, shall at length meet on that side on which are the angles which...
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The Elements of Euclid

Euclid - 1838 - 470 páginas
...enclose a space. XI. All right angles arc equal to one another. XII. •• If a straight line meet two straight lines, so as to make the two " interior...right angles, these straight lines being continually pro" duced, shall at length meet upon that side on which are the angles " which are less than two right...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 páginas
...cannot enclose a space, XI. All right angles are equal to one another. XII. " If a straight line meet two straight lines, so as to make the two . " interior...right angles, these straight lines being continually pro" duced, shall at length meet upon that side on which are the angles " which are less than two right...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 páginas
...equal to one another. XII. " If a straight line meet two straight lines, which are " in the same plane, so as to make the two interior " angles on the same...than two right angles, these straight lines being " produced, shall at length meet upon that side on " which are the angles which are less than two "...
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