 | Euclides - 1871 - 136 σελίδες
...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 - 1872 - 376 σελίδες
...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 - 1873 - 202 σελίδες
...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 - 1873 - 588 σελίδες
...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 σελίδες
...straight line, <fec. QE 2). Proposition 29. — Theorem. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal...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 σελίδες
...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 - 1874 - 206 σελίδες
...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... | |
 | Edward Atkins - 1874 - 428 σελίδες
...&c. QED Proposition 28. — Theorem. If a straight line falling upon two otlier straight lines make the exterior angle equal to the interior and opposite upon the same side of the line, or make t/ie interior angles upon the same side together equal to two right angles, the... | |
 | Francis Cuthbertson - 1874 - 400 σελίδες
...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... | |
 | Euclides - 1874 - 342 σελίδες
...&c. Q ED PROPOSITION 28.— 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... | |
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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 also the two interior angles upon the same side together equal... 
