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" IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another... "
Elements of geometry, containing books i. to vi.and portions of books xi ... - Pagina 46
door Euclides, James Hamblin Smith - 1879
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 pagina’s
...line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles. Let the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 326 pagina’s
...makes the exterior angle equal to the interior and opposite upon the same side of the line ; or makes the interior angles upon the same side together equal...straight lines are parallel to one another. Let the straight line EF, whieh falls upon the two straight line* AB, CD, make the exterior angle EGB equal...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 pagina’s
...straight line, &c. QED PROP. XXVIII. THEOR. If a straight line falling upon two other straight lines make the exterior angle equal to the interior and opposite upon the same s1de of the line / or make the interior angles upon the same side together equal to two right angles...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 210 pagina’s
...to the interior and opposite angle on the same side of the line, or make the two interior angles on the same side together equal to two right angles; the two straight lines are parallel. Let the straight line EF, which intersects the two straight lines AB, CD, make the exterior angle EGB...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 584 pagina’s
...line falls upon two other straight Unes, so os to make the alternate angles equal to one another, or the exterior angle equal to the interior and opposite upon the same side, or the two interior angles upon the same side together equal to two right angles, those two straight...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 358 pagina’s
...PROP. XXVIII. THEOR. If a straight line falling upon two other straight lines makes the exterior tingle equal to the interior and opposite upon the same side of the line; or mukes the interior angles upon the same side together equal to two right angles; the two straight line*...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pagina’s
...proposition. C PROPOSITION XXVIII. THEOR. — If a straight line, failing upon two other straight lines, make the exterior angle equal to the interior and opposite...equal to two right angles, the two straight lines shall be parallel to one another. Let the straight line EF, which falls upon the two straight lines...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 544 pagina’s
...makes the exterior angle equal to the interior and opposite upon the same side of the line ; or makes the interior angles upon the same side together equal...straight lines are parallel to one another. Let the straight line EF, which ]£ falls upon the two straight lines \ AB, CD, make the exterior \ Q. angle...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 pagina’s
...line falls upon two other straight lines, so as to make the alternate angles equal to one another, or the exterior angle equal to the interior and opposite upon the same side, or the two interior angles upon the same side together equal to two right angles, those two straight...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pagina’s
...two parallel straight ti?isepropo- lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles. Let the...
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