 | 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... | |
 | Elias Loomis - Conic sections - 1860 - 246 pages
...to 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. the two parallel lines AB, CD; the \ Let the straight line EF intersect ^ alternate angles AGH, GHD are \G-_... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...two other linei, making the sum of tht two interior angles on the same side of the intersecting lint equal to two right angles, the two straight lines are parallel. Let the line EF intersect n the lines AB and CD, making the two angles BGH + GHD A = to two right angles; then... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 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... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...; and the exterior angle equal to the interior and opposite on the same side of the line ; and the two interior angles on the same side together equal to two right angles. 5. The opposite sides and angles of a parallelogram are equal ; and the diameter bisects it. Prove... | |
 | Euclides - 1860 - 288 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. Given that the straight line EF, which falls upon the two straight... | |
 | Elias Loomis - Conic sections - 1861 - 254 pages
...lines, &c. PROPOSITION XXI. THECREM. If a straight line, meeting two other straight lines, makes the interior angles .on the same side, together equal to two right angles, the two lines are parallel. Let the straight line AB, which AE - '.', ^ ., 1 1 O meets the two straight lines... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...other straight lines, makes any exterior angle equal to the interior and opposite angle, or makes the interior angles on the same side together equal to two right angles, the two lines are parallel. Let the straight line EF inter- . E sect the two straight lines AB, \ ะก D, making... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...other straight lines, makes any exterior angle equal to the interior and opposite angle, or makes the interior angles on the same side together equal to two right angles, the two lines are parallel. Let the straight line EF inter- E sect the two straight lines AB, \ CD, making... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...other straight lines, makes any exterior angle equal to the interior and opposite angle, or makes the interior angles on the same side together equal to two right angles, the two lines are parallel. Let the straight line EF inter- E sect the two straight lines AB, CD, making the... | |
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... the same side together equal to two right angles ; the two straight lines shall be parallel to one another. 
