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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... "
Practical geometry for art students - Page 21
by John Carroll (art master.) - 1881
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Senate Documents, Otherwise Publ. as Public Documents and ..., Volume 3

United States. Congress. Senate - United States - 1880 - 1304 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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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...straight lines AD and CB intersecting in 0. Prove that 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 another ; and the exterior angle equal to the interior and opposite upon the same side; and...
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - Surveying - 1889 - 306 pages
...D, make the alternate angles equal to one another, then the two 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...
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The School World: A Monthly Magazine of Educational Work and Progress, Volume 4

Education - 1902 - 678 pages
...lines. Will any straight lines do ? If not, in what way is the choice of straight lines limited ? 15) If a straight line fall upon two parallel straight lines, it makes the two interior angles on the same side together equal to two right angles, and also the alternate angles...
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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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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 lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite angle on the same side ;...
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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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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 lines 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...
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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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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 lines, 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...
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