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" Wherefore, if a straight line, &c. QB D. PROPOSITION XXVIII. THEOB.—-If a straight line, falling upon two other straight lines, make the exterior angle equal to... "
The Elements of Geometry, Symbolically Arranged - Page 36
by Great Britain. Admiralty - 1846
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Some Suggestions for the Teaching of English in Secondary Schools in England

Great Britain. Board of Education - English language - 1924 - 70 pages
...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 are parallel." " If a straight line falling across two other straight lines makes the two interior...
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The Foundations of Geometry and the Non-Euclidean Plane

G.E. Martin - Mathematics - 1997 - 536 pages
...straight lines will be 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...
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Geometry: A Comprehensive Course

Daniel Pedoe - Mathematics - 1988 - 468 pages
...one another, the 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...
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The Poincaré Half-plane: A Gateway to Modern Geometry

Saul Stahl - Geometry, Non-Euclidean - 1993 - 320 pages
...the straight lines 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...
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Report of the Minister of Education

Education - 1869 - 450 pages
...difference between equal and equivalent triangles ? 3. If the straight line falling upon two other lines make the exterior angle equal to the interior and opposite upon the same side, &c. BI 28. 4. When is a problem said to be indeterminate 1 5. If the sides of a triangle be bisected,...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1897 - 710 pages
...two sides of a triangle are together greater than the third side. 8. If a straight line, falling on two other straight lines, make the exterior angle equal to the interior and opposite on the same side of the line; or make the two interior angles on the same side together equal to two...
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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860 - 318 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 upon the same side. If a straight line bisecting the exterior angle of a triangle be parallel to the opposite side show...
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Parliamentary Papers, Volume 40

Great Britain. Parliament. House of Commons - Great Britain - 1852 - 192 pages
...line fall upon two parallel straight lines, it makes the alternate angles equal to each other : 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 equal to two right angles. 3. To describe...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 18

1874 - 750 pages
...give any other definitions or tests of parallelism besides Euclid's with which you arc acquainted. If a straight line falling upon two other straight lines make the alternate angles equal to one another, those two straight lines shall be parallel. 3. If a straight...
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