 | Euclid - Euclid's Elements - 1904 - 488 pages
...PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight lines, then ic 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... | |
 | 1905 - 614 pages
...triangle be unequal the greater angle has the greater side opposite to it. 3. If a straight line fall upon two parallel straight lines it makes the alternate...the same side together equal to two right angles. 4. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and... | |
 | 1905 - 946 pages
...one another ; (2) the exterior angle equal to the interior and remote upon the same side ; and (3) the two interior angles upon the same side together equal to two right angles. Prove. 3. Parallelograms on equal bases and between the same parallels are equal. 4. Prove that the... | |
 | 1906 - 502 pages
...State the axiom on which your proof of the following theorem depends : — If a straight line fall on two parallel straight lines it makes the alternate angles equal to one another. Give the proof of the theorem. In the quadrilateral A BCD the sides AH and CD are parallel and AB is... | |
 | 1906 - 576 pages
...greater side of every triangle has the greater angle opposite to it. 3. If a straight line falls on two parallel straight lines, it makes the alternate angles equal to one another. H 113 Anс THE ENCYCLOPEDIA OF 4. The three interior angles of any triangle in marking out work, and... | |
 | Joseph Gregory Horner - Engineering - 1906 - 572 pages
...greater side of every triangle has the greater angle opposite to it. 3. If a straight line falls on two parallel straight lines, it makes the alternate angles equal to one another. 4. The three interior angles of any triangle in marking out work, and the methods of иге together... | |
 | 1907 - 608 pages
...exterior angle equal to the interior and remote, upon the same side of that line; and (2) if it make the interior angles upon the same side together equal to two right angles. 3. If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle... | |
 | 1908 - 574 pages
...most important of these propositions in its practical bearing is : — " If a straight line fall on two parallel straight lines it makes the alternate...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... | |
 | Joseph Gregory Horner - Engineering - 1908 - 556 pages
...propositions in its practical bearing is: — "If a straight line fall on two parallel straight lines P " it makes the alternate angles equal to one another,...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... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...the interior opposite angle on the same side of the cutting line ; (iii) the two interior angles on the same side together equal to two right angles. Let the straight lines AB, CD be parallel, and let the straight line EGHF cut them. It is required to prove that (i)... | |
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If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite upon the same side, and also the two interior angles upon the same side together equal... 
