 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 likewise the two interior angles upon the same side together...  The Elements of Geometry, Symbolically Arranged - Page 37by Great Britain. Admiralty - 1846Full view - About this book
 | Horatio Scott Carslaw - Geometry - 1916 - 193 pages
...be parallel to one another. And in I. 28 that If a straight line falling on two straight lines make the exterior angle equal to the interior and opposite angle on the same side, *Here and in other places where the text of Euclid's Elements is quoted, the rendering in Heath's Edition... | |
 | Great Britain. Board of Education - English language - 1924 - 70 pages
...converse) and the parallels axiom. " If a straight line falling across two other straight lines makes an exterior angle equal to the interior and opposite angle on the same side or the two interior angles on the same side together equal to two right angles, the two straight lines... | |
 | Science - 1887 - 762 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 parnlle straight... | |
 | G.E. Martin - Mathematics - 1997 - 536 pages
...parallel to one another. (Corollary 21.6) 28. If a straight line falling on two straight lines make the exterior angle equal to the interior and opposite angle on the same side, or the interior angles on the same side equal to two right angles, the straight lines will be parallel... | |
 | Daniel Pedoe - Mathematics - 1988 - 468 pages
...straight lines will be parallel to one another. 28 If a straight line falling on two straight lines make the exterior angle equal to the interior and opposite angle on the same side, or the interior angles on the same side equal to two right angles, the straight lines will be parallel... | |
 | Saul Stahl - Geometry, Non-Euclidean - 1993 - 320 pages
...will be parallel to one another. Proposition 28. // o straight line falling on two straight lines make the exterior angle equal to the interior and opposite angle on the same side, or the interior angles on the same side equal to two right angles, the straight lines will be parallel... | |
 | University of Durham - 1879 - 158 pages
...[MARCH 22, 1879. 3. State Euclid's twelfth axiom. IB there any proposition of which it is the converse ? If a straight line fall upon two parallel straight lines it makes the alternate angles equal. 4. Prove that parallelograms on equal bases and between the same parallels are equal. In what sense... | |
 | Judith Cederberg - Mathematics - 2004 - 472 pages
...straight lines will be parallel to one another. 28. If a straight line falling on two straight lines makes the exterior angle equal to the interior and opposite angle on the same side, or the interior angles on the same side equal to two right angles, the straight lines will be parallel... | |
 | R. H. Warn, John G. Horner - Technology & Engineering - 2002 - 292 pages
...of every triangle has the greater angle opposite to it. (Enc. I. 18.) (d) If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another. (Euc. I. 29.) (e) The opposite sides and angles of a parallelogram are equal to one another. (Euc.... | |
 | William R. Shea - Experimental design - 2003 - 374 pages
...postulate of parallel lines to show that a straight line that falls on two parallel straight lines makes the exterior angle equal to the interior and opposite angle on the 'CEuvres de Pascal, I, p. 606, and pp. 574-575 for the first version. same side, and hence that the... | |
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