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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 ... - Page 39
by John Playfair - 1819 - 317 pages
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...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...straight lines AB, CD; The alternate angles AGH, GHD shall be equal to one another. The exterior angle EGB shall be R\ equal to GHD, the interior and op-...
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New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1874 - 206 pages
...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 are \G equal ; the exterior...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...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 sha/.l be parallel to one another. Let the straight line EF, which falls upon...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...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...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...make 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 cliall be parallel to one another. Let the straight line EF, which falls upon...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...make the exterior angle eqnal 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. 8. Parallelograms upon the same base, and...
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The Teachers' assistant and pupil teachers' guide, Volume 1

1876 - 400 pages
...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. AB is parallel to CD, AD is bisected in E ; show that any other straight line drawn through E to meet...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...proving the last statement first. 2. If a straight line falling upon two other straight lines, makes the interior angles upon the same side together equal to two right angles, the two straight lines shall be parallel to one another. t Can this be inferred immediately from the...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1877 - 458 pages
...exterior angle equal to the interior and remote on the same side ; and the two interior an-- gles on the same side together equal to two right angles. Let the straight line EF intersect the yE two parallel lines AB, CD; the alternate \ .1, angles AGH, GHD are equal to each oth-...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...tlie exterior angle equal to the interior and opposite upon thr, same side of the line, or make the interior angles upon the same side together equal to two right angles, tlie two Straight lines shall be parallel to one another. Let the straight line EF, which falls upon...
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