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" If a straight 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 too interior angles upon the same side together... "
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Side 39
av John Playfair - 1819 - 317 sider
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First Practical Lines of Geometrical Drawing ...

J. F. H. de Rheims - 1865 - 332 sider
...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. 32. — Theorem. If one side of any triangle be produced, the exterior angle is equal to the...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 sider
...theexterior angle equal to the interior and opposite angle upon the same side; and likewise the two interior angles upon the same side together equal to two right angles. (References — Prop. I. 13, 15; ax. I. 2, 4, 12.) Let the right line EF, fall on the parallel lines...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 sider
...angle equal to the interior and opposite angle on the same side; and also the two interior angles on the same side together equal to two right angles. Let the straight line EF fall on the two parallel straight lines AB, CD : the alternate angles AGH, GHD shall bo equal to one another,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 sider
...angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right angles. Let the straight line EF fall on the two parallel straight lines AB, CD : the alternate angles AGH, GHD shall be equal to one another,...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 338 sider
...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, GHDV i \VT.... are equal ; the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 sider
...the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon the same side together equal to two right angles ; the two straight lines shall be parallel to one another. Let the straight line EF, which falls upon...
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Elements of geometry, containing the first two (third and fourth ..., Del 1

Euclides - 1871 - 132 sider
...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 - 372 sider
...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,...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 592 sider
...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...angles AGH, GHD, are equal to one another ; and the extsrior angle EGB is equal to the interior and opposite, upon the same side, GHD ; and the two interior...
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - 1873 - 202 sider
...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 are \Q. equal ; the exterior...
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