 | Euclid - Geometry - 1892 - 460 pages
...PROPOSITION 2g. THEOREM. If a straight line fall on two parallel straight lines, then it shall make the alternate angles equal to one another , and the exterior angle equal to the interior opposite angle on the same side; and also the two interior angles on the same side equal to turn ril/ht... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...the interior and opposite angle on the same side of the line, and it also makes interior angles on the same side together equal to two right angles. Let the straight line EF intersect the two parallel straight lines AB, CD : it is required to prove that (1) the alternate angles... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...the interior and opposite angle on the same side of the line, and it also makes interior angles on the same side together equal to two right angles. Let the straight line EF intersect the two parallel straight lines AB, CD : it is required to prove that (1) the alternate angles... | |
 | William Stanley Jevons - Logic - 1896 - 344 pages
...shall at length meet upon that side on which are the angles which are less than two right angles. makes the two interior angles upon the same side together equal to two right angles ? [R.] 30. From 'Some members of Parliament are all the ministers' (Elementary Lessons, p. 325, No.... | |
 | Seymour Eaton - 1899 - 362 pages
...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. Let the straight line EF fall on the two parallel straight lines AB, CD; then the alternate angles AGH, GHD shall be equal to one... | |
 | Manitoba. Department of Education - Education - 1900 - 558 pages
...pursue. 3. If a straight line fall on two parallel straight lines, it makes the alternate angles equal ; and the exterior angle equal to the interior and opposite upon the same side ; and the two interior angles upon the same side together equal to two right angles. 4. AD, BC, are two parallel... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight lines, then it shall make the alternate angles equal to one another, and the exterior angle equal to the interior opposite angle on the same side ; and also the two interior angles on the same side equal to two right... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...equals to and from equals and unequals. Prove that if a straight line fall on two parallel straight 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... | |
 | Thomas Smith (D.D.) - Euclid's Elements - 1902 - 244 pages
...they would not meet 1 Prop. 28 is : " If a straight line falling on 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 to one another," that is, according to Euclid's... | |
 | Euclid, Rupert Deakin - Geometry - 1903 - 218 pages
...angle equal to the interior opposite angle on the same side of the line, and the two interior angles on the same side together equal to two right angles. Let the straight line EF fall on the two parallel straight lines AB, CD; then it shall make (1) the angle AGH equal to the alternate... | |
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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... 
