| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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 str. line EF, which falls upon AB and CD, make ext. /. EGB = /_ GHD, the int. and oppo. /. on the same... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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 str. line EF, which falls upon AB and CD, makeext.Z EGB = ZGHD, the int. and oppo. Z on the same side.... | |
| Euclides - 1846 - 292 pages
...lines, makes the alternate anyles equal to one another, these two straight lines shall be parallel. Let the straight line EF, which falls upon the two straight lines AB, CD, make the alternate angles AEF, EFD, equal to one another : AB is parallel to CD. For, if it be not parallel,... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...straight lines males the alternate ingles equal to one another, these two straight lines are parallel. Let the straight line EF, which falls upon the two straight lines AB, CD make the alternate angles AEF, EFD equal to one another ; AB is parallel to CD. For,- if it be not parallel,... | |
| Euclides - 1847 - 128 pages
...and opposite angle upon the same side of the line, or makes the interior angles upon the same side equal to two right angles, the two straight lines shall be parallel to one another. PART. ENUN. — Let the st. line EF, falling upon the two st. lines AB, CD, make the exterior 2. BGB... | |
| Euclides - 1848 - 52 pages
...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. PROP. XXIX. THEOREM. If a straight line fall upon two parallel straight lines, it makes the alternate... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...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...one another. Let the straight line EF, which falls E upon the two straight li nes AB, c D, make the exterior angle EGB equal to the in- \ same side; or... | |
| John Playfair - Euclid's Elements - 1849 - 332 pages
...interior angles upon the same side together equal to two right angles ; the two straight lines are parallel to one another. Let the straight line EF,...straight lines AB, CD, make the exterior angle EGB j^ \T± equal to GHD, the interior and opposite angle upon the same side ; or let it make the interior... | |
| Education - 1850 - 488 pages
...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. 2. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite... | |
| Euclides - 1852 - 152 pages
...lines makes the alternate angles equal to one another, these two straight lines shall be parallel. Let the straight line EF, which falls upon the two straight lines AB, CD, make the alternate angles AEF, EFD equal to one another; AB is parallel to CD. For, if it be not parallel, AB... | |
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