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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 38
by Great Britain. Admiralty - 1846
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The Practical Teacher, Volume 3

Education - 1884 - 708 pages
...the angles EAF, FAD — \L right, and hence each of the angles BAE, EAF, FAD is } L ВАС. QEF 2. If a straight line falling upon two other straight lines make the exterior angles equal to the interior and opposite upon the same side of the line, or make the interior angles...
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Studies and Exercises in Formal Logic: Including a Generalisation of Logical ...

John Neville Keynes - Logic - 1884 - 436 pages
...is B, C is D " is " If A is B, C is not not-Z>." 84. Give the converse and the contrapositive of " If a straight line falling upon two other straight lines make the alternate angles equal to one another, these two straight lines shall be parallel." [L.] The application...
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Senate Documents, Otherwise Publ. as Public Documents and ..., Volume 3

United States. Congress. Senate - United States - 1880 - 1304 pages
...exterior angle e interior, and opposite, upon the samo side of the line; or make the iuteГ1"г anvil's upon the same side together equal to two right angles, the two straight ™e* ellall be parallel to oue another. * Tu describe, a square upon a given straight line. *>•...
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Annual Report of the Chief Superintendent of Education

1885 - 608 pages
...these will be together less than the other sides of the triangle, but will contain a greater angle. -. If a straight line, falling upon two other straight lines make the alternate angles equal to one another, these two straight lines must be parallel. 3. If a straight...
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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - Education - 1889 - 1004 pages
...side together equal to two right angles, and also the alternate angles equal to one another, and also the exterior angle equal to the interior and opposite upon the same side. A. Prove that if one diagonal of a quadrilateral bisect the other, it divides the quadrilateral into...
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - Surveying - 1889 - 306 pages
...side together equal to two right angles, and also the alternate angles equal to one another, and also the exterior angle equal to the interior and opposite upon the same side. 17. Straight lines which are parallel to the same straight line are parallel to one another. 18. If...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 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; and likewise the two interior angles upon the same side together equal to two right angles. No straight...
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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

John Fry Heather - Geometry, Modern - 1890 - 252 pages
...the exterior angle equal to the interior and opposite angle upon the same side of the line ; or makes the interior angles upon the same side together equal...two straight lines shall be parallel to one another (Euc. I. 28). 66*. THEOE. 10. Straight lines which join the extremities of equal and parallel straight...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...equal to the interior and opposite angle on the same side of the line, or makes the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel. Let the st. line EF falling on the two st. lines AB, CD make ext. L EGB equal to int. and opp. L GHD...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...line fall upon two paraHel straight lines 18 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 equal to two right angles. 5. To...
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