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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... "
Report of Her Majesty's Civil Service Commissioners: Together with Appendices - Page 314
1858
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Henley's Encyclopędia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - Engineering - 1908 - 556 pages
...propositions in its practical bearing is: — "If a straight line fall on two parallel straight lines P " it makes the alternate angles equal to one another,...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 to two right angles."...
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Annual Report of the Department of Education ..., Volume 4, Part 1911; Volume 6

Alberta. Department of Education - Education - 1912 - 244 pages
...are required. Values. 8 1. If a straight line fall on two parallel straight lines, then it shall make the alternate angles equal to one another, and the exterior angle equal to the interior opposite angle on the same side; and also the two interior angles on the same side together equal to...
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The Durham University Journal, Volume 1

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...
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The Sheet-Metal Worker's Instructor

R. H. Warn, John G. Horner - Crafts & Hobbies - 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....
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1893 - 812 pages
...equal, each to each, and also the third angle of the one equal to the third angle of the other. 7. If a straight line fall upon two parallel straight...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...
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Calendar

University of St. Andrews - 1900 - 670 pages
...2.30 PM When did the puncture occur? 7. If a, b, c, d are in continued proportion, show that — B. 8. If a straight line fall upon two parallel straight...it makes the alternate angles equal to one another. If the angle A of a triangle ABC, and also the adjacent exterior angle be bisected by lines of which...
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The London University Calendar

London univ - 1874 - 778 pages
...symbols .-. , :• , =, and + in their usual senses.] 2. Define parallel straight lines; and prove that if a straight line fall upon two parallel straight...it makes the alternate angles equal to one another. 1. Define a right angle ; and draw a straight line at right angles to a given straight line from a...
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Parliamentary Papers, Volume 40

Great Britain. Parliament. House of Commons - Great Britain - 1852 - 192 pages
...equal to each other, the sides also which subtend the equal angles shall be equal to each other. 2. If a straight 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...
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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860 - 318 pages
...together greater than the third side. 6. (1) Give Euclid's Axiom respecting parallel straight lines. (2) If a straight line fall upon two parallel straight lines it makes the alternate angles equal. 7. Triangles upon the same base and between the same parallels are equal. 8. If a straight line be...
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Minutes of the Committee of Council on Education, Volume 2

Great Britain. Committee on Education - School buildings - 1850 - 904 pages
...of £20. 1. Define a parallelogram, — and what is meant by a line cut in extreme and new ratio. 2. If a straight line fall upon two parallel straight lines, it makes the altenufe angles equal. — Define parallel lines, and alternate angles. 3. If a line be cut into any...
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