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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... "
Elementary Mathematics: Embracing Arithmetic Geometry, and Algebra - Page 83
by Lewis Sergeant - 1873
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The Poincaré Half-plane: A Gateway to Modern Geometry

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...
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A Course in Modern Geometries

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...
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The Sheet-Metal Worker's Instructor

R. H. Warn, John G. Horner - Crafts & Hobbies - 2002 - 292 pages
...5.) (c) The greater side 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...
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Designing Experiments & Games of Chance: The Unconventional Science of ...

William R. Shea - History - 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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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1893 - 812 pages
...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 angle on the same side ; and likewise the two interior angles on the same side together equal to two right angles. 8. The...
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Euclid in China: The Genesis of the First Chinese Translation of Euclid's ...

Peter M. Engelfriet - Mathematics - 1998 - 516 pages
...onto them in a crossing manner". 28. j Heath 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...
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The Thirteen Books of Euclib's Elements.

Euclid - 454 pages
...logically that All not-.5 is rxA-A. PROPOSITION 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...
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Examination,Midsummer,1879

Education Department - 1879 - 1118 pages
...Show that the diagonal of a square is less than one of the diagonals of a rhombus on the same base. 5. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another. Show that the lines bisecting the exterior angles of an...
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