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" 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 37
by Great Britain. Admiralty - 1846
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 578 pages
...to you by the Inspector. Euclid. [All generally understood abbreviations for words may be used.] 1. If a straight line fall upon two parallel straight...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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...CD. [I. 27. Wherefore, if a straight line &c. QED PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight lines, it makes the alternate...angle equal to the interior and opposite angle on the game side; and also the two interior angles on the same side together equal to two right angles. on...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...opposite sides parallel. 67. A rhombus and a rhomboid have their opposite sides parallel. PROP. 29. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal, the corresponding angles equal, and the two interior angles on the same side of it together equal to...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Volume 3

Moffatt and Paige - 1883 - 514 pages
...straight line, falling upon two other, etc. QED Proposition XXIX. Theorem. If a straight line falls upon two parallel straight lines, it makes the alternate angles equal to one another, and thc exterior angle equal to the interior and opposite angle upon the same side, and also the two interior...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...quadrilateral be all right, show that it is a parallelogram. 71. PROPOSITION XXIX. — THEOREM,. • If a straight line fall upon two parallel straight...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...
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Yale Examination Papers

F. B. Stevens - Examinations - 1884 - 202 pages
...is equivalent to the difference of the squares of those lines. 1880. 1. If a straight line fall on two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite (or remote) angle on the same side ; and also the two interior angles on the same side together equal...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...alternate angles ; therefore A"R is parallel to CD. XXIX. — If a straight line fall upon twoparallel straight lines, it makes the alternate angles equal...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...
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Annual Report of the Commissioners ..., Volume 50

1884 - 654 pages
...side and perpendicular of an equilateral triangle ; construct the triangle. 10 marks. 3. Prove that if a straight line fall upon two parallel straight...it makes the alternate angles equal to one another. 10 marks. •I. The sides of a triangle are 15 feet, 37 feet, and 41 feet : find the length of the...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...<fcc. QED PROPOSITION XXVIII. THEOREM. If a straight line falling on two other straight lines, make the exterior angle equal to the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two...
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Senate Documents, Otherwise Publ. as Public Documents and ..., Volume 3

United States. Congress. Senate - United States - 1880 - 1302 pages
...being entirely outside the quadrilateral ; prove lht the triangle ha the greater perimeter. 3. If a straight line fall upon two parallel straight lines, it makes the alternate an|k* equal to each other. Prove this; and state clearly the axiom upon which your proof in based,...
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