 | 1867 - 224 pages
...the line between the points of section. 6. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another,...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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...line &c. QED PROPOSITION 28. THEOREM. If a straight line falling on two other straight lines, make the exterior angle equal to the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two... | |
 | Robert Potts - 1868 - 434 pages
...GHD; (ax. 3.) PROPOSITION XXIX. 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 t/te interior and opposite upon the same side ; and likewise the two interior angles upon ihe same... | |
 | Woolwich roy. military acad - 1868 - 426 pages
...equal to one another, the exterior angle equal to the interior and apposite angle on the same side, and the two interior angles on the same side together equal to two right angles. ABC is a triangle, bisect the angle BAG by AD, meeting BC in D, through D draw DE parallel to AB, and... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 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 EF inter- E sect the parallel lines AB, CD ; \ the alternate angles AGH, GHDV i \VT.... are equal ; the... | |
 | Euclides - 1870 - 270 pages
...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... | |
 | Trinity College (Hartford, Conn.) - 1870 - 1008 pages
...triangles, equal figures. 2. Prove that 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. 3. Prove that in the same circle or in equal circles, equal chords are... | |
 | Euclides - 1871 - 136 pages
...B, D, because GB lies between GN and ///>. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another,...exterior 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... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...and HD. <j. RD PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another,...exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles up in t/ie tame side together equal to two... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...straight lines, etc. PROPOSmOX XXI. THEOREM. 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. . E c Let the straight line AB, which meets the two straight lines AC,... | |
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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; and likewise the two interior angles upon the same side together... 
