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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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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...the exterior angle equal to the interior and opposite angle on the same side ; and likewise the two interior angles upon the same side together equal to two right angles. Let the str. line EF fall on the || str. lines AB, CD, then alt. L AGH = alt. Z. GHD, ext. / _ EGB...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...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. PROP....
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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 226 pagina’s
...intersecting two other straight lines, makes the alternate angles equal to each other, or makes an exterior angle equal to the interior and opposite upon the same side of the secant line, these two lines are parallel. intersects the two straight lines AB, / Let the straight...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 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 egual to two right angles. Let the...
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The English Journal of Education, Volume 4

1850
...interior opposite angles. SECTION II. 1. If a straight line falling 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. 2. If one side of a triangle be produced, the exterior angle is equal...
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The English Journal of Education, Volume 5

1851
...line fall upon two parallel straight lines, it makes the alternate angles equal to each other: and the exterior angle equal to the interior and opposite upon the same side : and likewiie the two interior angles upon the same side together equal to two right angles. 2. In...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...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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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...line fall upon two parallel straight lines, it makes the alternate angles equal to one anotker ; 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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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...line fall upon two parallel straight lines, if 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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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 pagina’s
...fall upon two parallel straigM lines, ii makes the aliernate angles equal to one, another ; and tlie 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 rigM angles. LET the...
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