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" IF a straight line falling upon two other straight lines 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 to two right angles ; the two straight... "
A Complete Epitome of Practical Navigation, and Nautical Astronomy ... - Seite 36
von John William Norie, J. W. Saul - 1917 - 595 Seiten
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Elements of geometry, containing the first two (third and fourth ..., Teil 1

Euclides - 1871 - 136 Seiten
...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. T Let the st. line EFMl on the parallel st. lines AB, CD. Then must I. LA GH= alternate L GHD. II....
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 Seiten
...make the exterior angle equal to the interior and opposite upon the same side oj' the line, or make the interior angles upon the same side together equal to two right angles; the two straight lines are parallel to one another. Ao/ Let the st. line EF, falling on st. lines AB, CD, make I. i EGB =...
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - 1873 - 202 Seiten
...alternate angles equal; also any exterior angle equal to the interior and opposite angle; and the two interior angles upon the same side together equal to two right angles. Let the straight line EF inter- E sect the parallel lines AB, CD; the \ T alternate angles AG II, GHD...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 Seiten
...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 straight line EF fall upon the parallel straight lines AB, CD; the alternate angles AGH, GHD,...
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Pure mathematics, Band 1

Edward Atkins - 1874 - 428 Seiten
...the exterior angle equal to the interior and opposite upon the same side of the line, or make t/ie interior angles upon the same side together equal to two right angles, the two straight lines sliall be parallel to one another. Let the straight line EF, which falls upon the two straight lines...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 Seiten
...equal to the interior and opposite angle on the same side of tlie line, or make the interior angles on the same side together equal to two right angles, the two straight lines shall lie parallel to one another. * Let the straight line EF, which falls on the two ' • straight lines...
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Pure mathematics, Band 1

Edward Atkins - 1874 - 426 Seiten
...another, and the exterior angle equal to the interior and opposite upon the same side; and also the two interior angles upon the same side together equal to two right angles. Let the straight line EF fall upon the parallel straight lines AB, CD; The alternate angles AGH, GHD...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 Seiten
...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 straight line EF fall upon the parallel straight lines AB CD. Then the alternate angles AGE,...
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New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

Benjamin Greenleaf - 1874 - 206 Seiten
...alternate angles equal; also any exterior angle equal to the interior and opposite angle; and the two interior angles upon the same side together equal to two right angles. Let the straight line EF inter- E sect the parallel lines AB, CD; the \ , alternate angles AGH, GHD...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 Seiten
...(c). " When a straight line, falling across two other straight lines, makes the two interior angles on the same side together equal to two right angles, the two straight lines are parallel." And conversely — (of). " When a straight line falls across two parallel straight lines...
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