 | George William Usill - Surveying - 1889 - 306 pages
...make the alternate angles equal to one another, then the two straight lines must be parallel. 16. If a straight line fall upon two parallel straight lines, it makes the two interior angles upon the same side together equal to two right angles, and also the alternate angles... | |
 | Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...on opposite sides of the common base. 4. If a straight line fall upon two paraHel straight lines 18 it makes the alternate angles equal to one another,...the same side together equal to two right angles. 5. To describe a parallelogram equal to a given recti- 16 lineal figure, and having an angle equal... | |
 | John Fry Heather - Geometry, Modern - 1890 - 252 pages
...exterior angle equal to the interior and opposite angle upon the same side of the line ; or makes the interior angles upon the same side together equal to two right angles ; the two straight lines shall be parallel to one another (Euc. I. 28). 66*. THEOE. 10. Straight lines... | |
 | 1891 - 718 pages
...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 side together equal to two right angles, the two straight lines are parallel to one another. 3. Prove that if the opj>osite angles of a quadrilateral... | |
 | 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
...therefore AB is parallel to CD (Proposition 27). AXIOM PROPOSITION 29. THEOREM If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another,and the exterior angle equal to the interior and opposite angle on the same side ; and also... | |
 | 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... | |
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Wherefore, if a straight line, &c. QED PROPOSITION XXIX. THEOREM. Jf a straight line fall upon two parallel straight lines, it makes the alternate angles equal... 
