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" If a ftraight line meets two ftraight lines, fo as to make the " two interior angles on the fame fide of it taken together lefs  "
Observations on the Nature of Demonstrative Evidence: With an Explanation of ... - Page 52
by Thomas Beddoes - 1793 - 172 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...lines cannot inciofc a fpace. XL All right angles are equal to one another. XII. f' If a ftraight line meets two ftraight lines, fo as to make the two "...right angles, thefe ftraight lines being continually produc" ed fhall at length meet upon that fide on which are the angles " which are lefs than two right...
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Instructions Given in the Drawing School Established by the Dublin Society ...

Joseph Fenn - Mathematics - 1769 - 524 pages
...ftraight lines (CD, EF,) fituated in the fame plane, fo as to make the two interior angles (DGH, FHG,) on the fame fide of it, taken together, lefs than two right angles ; thefe two lines (CD, EF,) continually produced, will at length meet upon the fide (K) on which are the angles...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...lines cannot inclofe a (pace. XI. All right angles are equal to one another. XIL " If a ftraight line meets two ftraight lines, fo as to make the " two...than two right angles, thefe ftraight lines being con" tinually produced, fhall at length meet upon that ftde on " which are the angles which are lefs...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...cannot inclofe a fpace. XL All right angles are equal to one another. xn. " If a ftraight line meCS two ftraight lines, fo as to make the " two interior...thefe ftraight lines being continually " produced lhall at length -meet upon that fide on which are " the angles which are lefs than two right angles....
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...which was before the iith is accounted the ioth. The lath Axiom of Euclid is, that ' If a ftraight line meets two ftraight lines, fo as to make the two interior...angles, thefe ftraight lines being continually produced, fliall at length meet upon that fide on which are tie angles which are lefs than two right angles.'...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...See N. more than one point. XI. All right angles are equal to one another. XII. " If a fl raight line meets two ftraight lines, fo as to make the " two...than two right angles, thefe ftraight lines, being con" tinually produced, fhall at length meet upon that fide on " which are the angles which are lefs...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...lines cannot inclofe a fpace, XI. All right angles are equal to one another. XII. ." If a ftraight line meets two ftraight lines, fo as to make the " two...thefe ftraight lines being continually " produced fhall at length meet upon that fide on which are " the angles which are lefs than two right angles....
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...before the nth is accounted the icth. -1 The i 2th Axiom of Euclid is, that ' If a ftraight line ' meets two ftraight lines, fo as to make the two interior...fame fide of it taken together lefs than two right an' gles, thefe ftraight lines being continually produced, fhall at ' length meet upon that fide on...
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Walker's Hibernian Magazine, Or, Compendium of Entertaining Knowledge

1807 - 844 pages
...aflerts, that ' if a ftraight line falling on two flraight lines, makes the two interior angles on .one fide of it taken together lefs than two right angles, thefe ftraight lines, being contiriuaily produced,- fliall at length. meŁt on rhat fide, on vyliich aie the • a'pglcs which-...
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