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" ... the same side together equal to two right angles ; the two straight lines shall be parallel to one another. "
Euclid's Elements of Geometry - Page 78
edited by - 1895 - 657 pages
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...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 lines shall be parallel to one another, Let the straight line EF, which falls upon the two straight lines...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...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 lines shall be parallel to one anotlier. £ LET the straight line ef, which falls upon the two straight lines...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 lines shall be parallel to one another. Let the straight line EF, which falls upon the two straight lines...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...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 the two straight lines...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...straight line bisects FD at right angles : therefore <JR, DF, which are cut by this line, make the two interior angles on the same side together equal to two right angles, and are therefore parallel (i. 28). Hence QDFR is a parallelogram (Def. A) ; and it may be shewn as...
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The Collected Works of Dugald Stewart, Esq. F.R.SS.: Elements of the ...

Dugald Stewart - 1854 - 454 pages
...asserted, for example, that " if one straight line falls on two other straight lines, so as to make the two interior angles on the same side together equal to two right angles, these two straight lines, though indefinitely produced, will never meet ; " is not the boundless immensity...
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The Collected Works of Dugald Stewart, Volume 3

Dugald Stewart - 1854 - 452 pages
...asserted, for example, that " if one straight line falls on two other straight lines, so as to make the two interior angles on the same side together equal to two right angles, these two straight lines, though indefinitely produced, will never meet ;" is not the boundless immensity...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 pages
...each other ; also, any exterior angle equal to the interior and opposite on the same side ; and the two interior angles on the same side together equal to two right angles. Let the straight line EF intersect E the two parallel lines AB, CD ; the \ alternate angles AGH, GHD...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...and the exterior angle equal to the interior and opposite angle on the same side, and likewise the two interior angles on the same side together equal to two right angles. 3. If a straight line be divided into any two parts, the rectangle contained by the whole and one of...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...and the exterior angle equal to the interior and opposite angle on the same side; and likewise the two interior angles on the same side together equal to two right angles. VOLUNTARY PORTION. 1. Upon a given straight line describe the segment of a circle which shall contain...
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