 ... if a straight line, &c. QED PROPOSITION 29. โ Theorem. 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 ;...  Elements of Geometry: With Notes - Page 159by John Radford Young - 1827 - 208 pagesFull view - About this book
 | Dugald Stewart - Psychology - 1859 - 508 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 ; " โ is not the boundless... | |
 | Elias Loomis - Conic sections - 1860 - 246 pages
...equal 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... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...each other ; 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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. Let the straight line J?.Ffall upon the parallel straight lines AB, CD. Then the alternate angles A GH, GHD shall be equal... | |
 | 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... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...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 EP inter- j; sect the parallel lines AB, CD ; \ the alternate angles AGH, GHD V, _โ_. L are equal... | |
 | 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,... | |
 | 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... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...another, and the exterior 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. 7. In any right-angled triangle, the square which is described on the side subtending the right angle... | |
 | 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... | |
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