| Edward Mann Langley, W. Seys Phillips - 1890 - 538 Seiten
...THEOREM. 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 angle on the same side ; and also the two interior angles on the same side together equal to two right angles. Let the st.... | |
| Euclid - 1890 - 442 Seiten
...cross two parallel straight lines, it makes — (a) either pair of alternate angles equal ; (/3) each exterior angle equal to the interior and opposite angle on the same side ; (y) either pair of interior angles on the same side together equal to two right angles. B Let the... | |
| Queensland. Department of Public Instruction - 1890 - 526 Seiten
...every triangle are together equal to two right angles, without producing a side of the triangle. 4. If a straight line falling on two other straight lines make the alternate angles equal to one another, the two straight lines shall be parallel to one another. 5.... | |
| United States. Office of Education - 1890 - 958 Seiten
...whole theory of direction is ignored. II — NEW "AXIOM." Euclid proves in his Elements (I, 27) that " If a straight line falling on two other straight lines make the alternate angles equal to one another, the two straight lines shall be parallel to one another." Bat... | |
| Florian Cajori - 1890 - 412 Seiten
...whole theory of direction is ignored. II. — NEW "AXIOM." Euclid proves in his Elements (I, 27) that " If a straight line falling on two other straight lines make the alternate angles eqnal to one another, the two straight lines shall be parallel to one another." Bat... | |
| Rupert Deakin - 1891 - 102 Seiten
...a straight line fall on two parallel straight lines, it shall make the alternate angles equal, and the 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 angles. 30. Straight... | |
| 1891 - 718 Seiten
...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 the interior and opposite upon tho same side of the line, or make the interior angles upon the same side together equal to two... | |
| Euclid - 1892 - 460 Seiten
...i. 20 : some remarks upon it will be found in a note on that Proposition. PROPOSITION 27. THEOREM. If a straight line, falling on two other straight lines, make the alternate angles equal to one aiiotlier, then the straight lines shall be parallel. CH the straight... | |
| Henry Martyn Taylor - 1893 - 486 Seiten
...straight line intersect two parallel straight lines, it makes alternate angles equal, it makes each exterior angle equal to 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... | |
| Henry Martyn Taylor - 1895 - 708 Seiten
...straight line intersect two parallel straight lines, it makes alternate angles equal, it makes each exterior angle equal to 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... | |
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