 | Benjamin Greenleaf - Geometry - 1866 - 328 pages
...alternate angles equal; also any exterior angle equal to the interior and opposite angle ; and the tivo 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 equal; the exterior angle... | |
 | Aristotle - Fallacies (Logic) - 1866 - 272 pages
...result from various theses : for instance, parallels may be proved to meet both from the thesis that if a straight line fall upon two parallel straight lines it makes the exterior angle greater than the interior and opposite angle upon the same side10, and from the thesis... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...Wherefore, if a straight line &c. QED ' )i.! • PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight lines, it makes the alternate...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... | |
 | 1867 - 224 pages
...the line and of the square on the line between the points of section. 6. If a straight line fall on two parallel straight lines, it makes the alternate...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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...straight line &c. QED PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight Una, it makes the alternate angles equal to one another,...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... | |
 | Robert Potts - 1868 - 434 pages
...the remaining angle AGH is equal to the remaining angle GHD; (ax. 3.) PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight lines,...equal to one another ; and the exterior angle equal to t/te interior and opposite upon the same side ; and likewise the two interior angles upon ihe same... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...the 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, GHDV i \VT.... are equal ; the... | |
 | Ontario Chief Superintendent of Education - Education - 1869 - 450 pages
...between equal and equivalent triangles 1 3. If the straight line falling upon two other lines make the exterior angle equal to the interior and opposite upon the same side, &c. BI 28. 4. When is a problem said to be indeterminate ? •5. If the sides of a triangle be bisected,... | |
 | Euclides - 1870 - 270 pages
...same st. line are parallel to each other. DEM. — P. 29. If a st. line fall upon two parallel st. lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the int. and opp. angle upon the same side ; and likewise the two int. angles upon the same side together... | |
 | Alfred Challice Johnson - Spherical trigonometry - 1871 - 178 pages
...greater side of every triangle is opposite to the greater angle and vice versa. (Eue. I., 18, 19.) 5. If a straight line fall upon two parallel straight lines,...it makes the alternate angles equal to one another. (Eue. I., 29.) 6. If a side of a triangle be produced, the exterior angle is equal to the two interior... | |
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Wherefore, if a straight line, &c. QED PROPOSITION XXIX. THEOREM. Jf a straight line fall upon two parallel straight lines, it makes the alternate angles equal... 
