 | 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... | |
 | Euclides - 1871 - 136 pages
...26. QED PROPOSITION XXVIII. THEOREM. If a straight line, falling upon two other straight lines, make the exterior angle 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... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...QEI). PROPOSITION XXVIII. THEOREM. If a straight line, falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side oj' the line, or make the interior angles upon the same side together equal to two right angles; the... | |
 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...makes 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 \ T alternate angles AG II, GHD are \Q. equal ; the exterior... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...therefore is parallel to CD. XXVIII. — If a straight line, falling upon two other straight lines makes the exterior angle equal to the interior and opposite upon the same side of the line; or makes the interior angles upon the same sido together equal to two right angles ; the... | |
 | Edward Atkins - 1874 - 426 pages
...line, <fec. QE 2). Proposition 29. — Theorem. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...the interior and opposite upon the same side; and also the two interior angles upon the same side together equal to two right angles. Let the straight... | |
 | Euclides - 1874 - 120 pages
...parallel to one another. PROPOSITION 29. THEOREM. If a straight line fall on two parallel straif/ht lines, it makes the alternate angles equal to one...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... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...makes 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, GHD are \G equal ; the exterior... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...easily deduced the following Theorems : If a straight line, falling upon two other straight lines, makes the exterior angle equal to the interior and opposite upon the same side of the line, the two straight lines shall be parallel. c /G JD Let the straight ImeEFGH, falling upon... | |
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if a straight line," &c. QED PROP. XXIX. THEOR. See the Jf a straight line fall upon two parallel straight ti?isepropo- lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same... 
