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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