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" If a straight line fall on 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; and also the two interior angles on the same side together equal... "
A companion to Euclid: being a help to the understanding and remembering of ... - Page 27
by Euclides - 1837 - 88 pages
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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 23

Great Britain. Civil Service Commission - 1879 - 620 pages
...which has the greater angle shall be greater than the base of the other. 2. If a straight line fall on two parallel straight lines, it makes the alternate...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...
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Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879 - 378 pages
...the converse of that axiom ? If so, is there any objection to the axiom ? If a straight line fall on two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite angle on the same side ; and also the interior angles on the tame side toe/ether equal to two right...
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Parliamentary Papers, Volume 22

Great Britain. Parliament. House of Commons - Great Britain - 1879 - 632 pages
...which has the greater angle shall be greater than the base of the other. 2. If a straight line fall on two parallel straight lines, it makes the alternate...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...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 414 pages
...sector of a circle, similar segments of circles. When is a straight line said to touch a circle ? 2. If a straight line fall upon two parallel straight...it makes the alternate angles equal to one another, the exterior angle equal to the interior and opposite angle on the same side of the line, and the two...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 396 pages
...occur in Euclid's definition of a plane angle, omitted in this definition? 2. If a straight line falls upon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite angle upon the same side; and likewise the two interior angles upon the same side equal to two right...
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Report on Foreign Systems of Naval Education

James Russell Soley - Naval education - 1880 - 346 pages
...triangle being entirely outside the quadrilateral ; prove that the triangle has the greater perimeter. 3. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to each other. Prove this ; and state clearly the axiom upon which your proof is based, and mention any...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 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 angles equal to one anotlier, and the exterior angle equal to the interior and opposite angle on the same side; and also...
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The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...angles, and the three interior angles of every triangle are together equal to two right angles. 6. If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite angles upon the same side, and likewise the two interior angles upon the same side together equal to...
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Practical geometry for art students

John Carroll (art master.) - Geometry - 1881 - 100 pages
...one diagonal О X and one side YZ being given. С — в Fiq 10 Figzz IH LESSON V.— OX PARALLELS. " If a straight line fall upon two parallel straight lines, it makes the alternate angles equal." — Euclid i. 29. Problem 25. — To draw a line parallel to a given straight line П J at a given...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...le. 3. By two different methods describe a rectilineal angle equal to a given rectilineal angle. 4. 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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