 | Joseph Hughes - Education - 1883 - 568 pages
...line fall on two parallel straight line«, 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 the two interior angles on the same side toeether equal to two right angles. Axiom xii.... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...angles ; therefore AB is parallel to CD. [I. 27. Wherefore, if a straight line &c. QED 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... | |
 | Euclides - 1884 - 214 pages
...therefore AB is parallel to CD. I. 27. Therefore, if a straight line <5zc. QED 9—"2 PROPOSITION XXIX. 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... | |
 | F. B. Stevens - Examinations - 1884 - 202 pages
...and difference of two lines is equivalent to the difference of the squares of those lines. 1880. 1. 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... | |
 | United States. Congress. Senate - United States - 1880 - 1304 pages
...series. Sara the series — f + A — A,- -f- &c., to 7 terms. GKOMF.TKY. (Time allowed, 3 hours.) 1. 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... | |
 | New Zealand Institute - Science - 1887 - 748 pages
...part of Euclid I., 29 : — " If a straight line fall upon two parallel straight lines, it shall make the exterior angle equal to the interior and opposite angle on the same side." This is an immediate consequence, hardly more than a re-statement, of the concept of parallel straight... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...on that side on which are the angles which are together less than two right angles. PROPOSITION 29. 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... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...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... | |
 | Seymour Eaton - 1899 - 362 pages
...and they are alternate angles; 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... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...straight lines, extreme and mean ratio ; and draw some simple figure of a superficies which is not plane. 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... | |
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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 the two interior angles on the same side together equal... 
