| 1891 - 718 pages
...triangle be produced, the exterior angle is greater than either of the interior opposite angles. 2. If a straight line, falling upon two other straight lines, make the exterior angle equal to tho interior and opposite upon the same side of the line, or make the interior angles upon the same... | |
| Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...equal to the interior and opposite angle on the same side of the line, or makes the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel. 29. If a straight line fall on two parallel straight lines, it shall make the alternate angles equal,... | |
| James Andrew Blaikie, William Thomson - Geometry - 1891 - 160 pages
...same side of the cutting line, or make the two interior angles on the same side of the cutting line together equal to two right angles, the two straight lines shall be parallel. 29. If a straight line cut two parallel straight lines, it shall make the alternate angles equal, and... | |
| Henry Martyn Taylor - 1893 - 486 pages
...the interior and opposite angle on the same side of the line ; or if it make two interior angles on the same side together equal to two right angles, the two straight lines are parallel. Let the straight line EF, intersecting the two straight lines AB, CD, (1) make the exterior... | |
| Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...the interior and opposite angle on the same side of the line ; or if it make two interior angles on the same side together equal to two right angles, the two straight lines are parallel. Let the straight line EF, intersecting the two straight lines AB, CD, (1) make the exterior... | |
| William Stanley Jevons - Logic - 1896 - 344 pages
...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
...(Definition 9). Therefore AB is parallel to CD. 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... | |
| Manitoba. Department of Education - Education - 1900 - 558 pages
...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... | |
| 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 definition,... | |
| William Barrett Frankland - Euclid's Elements - 1902 - 186 pages
...will love it even to a twentieth place of decimals ! In succinct terms then : The statement, that " if a straight line falling upon two other straight lines make the angles within and towards the same parts less than two right angles, then the two straight lines being... | |
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