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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... "
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 100
by Euclides - 1858
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Volume 3

Moffatt and Paige - 1883 - 514 pages
...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 angles upon the same side together equal to two right angles. Let the straight...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...straight line <5zc. QED 9—"2 PROPOSITION XXIX. THEOREM. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one...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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Yale Examination Papers

F. B. Stevens - Examinations - 1884 - 202 pages
...difference of the squares of those lines. 1880. 1. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one...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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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...parallelogram. 71. PROPOSITION XXIX. — THEOREM,. • If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...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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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...angles ; therefore A"R is parallel to CD. XXIX. — If a straight line fall upon twoparallel straight lines, it makes the alternate angles equal to one...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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Senate Documents, Otherwise Publ. as Public Documents and ..., Volume 3

United States. Congress. Senate - United States - 1880 - 1304 pages
...to 7 terms. GKOMF.TKY. (Time allowed, 3 hours.) 1. If a straight line fall on two parallel straight lines it makes the alternate angles equal to one another,...exterior angle equal to the interior and opposite anule on the same side; and also the two interior angles on the .same sidr together equal to two right...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...both the triangles OA C and OBD are isosceles. 2. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...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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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - Education - 1889 - 1004 pages
...equality in triangles. 2. If a straight line fall upon two parallel straight lines, prove that it makes the two interior angles upon the same side together equal to two right angles, and also the alternate angles equal to one another, and also the exterior angle equal...
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - Surveying - 1889 - 306 pages
...straight lines must be parallel. 16. If a straight line fall upon two parallel straight lines, it makes the two interior angles upon the same side together equal to two right angles, and also the alternate angles equal to one another, and also the exterior angle equal...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...on opposite sides of the common base. 4. If a straight line fall upon two paraHel straight lines 18 it makes the alternate angles equal to one another,...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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