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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 39
by Great Britain. Admiralty - 1846
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...line, .fee. QED Proposition 29. — Theorem. If a straight line fall upon two parallel straightlines, it makes the alternate angles equal to one another, and the exterior angle eyual to the interior and opposite upon the same side; and also the two interior angles upon the same...
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Elements of Plane Geometry, Part 1

Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...straight line intersect two parallel straight lines, it makes the alternate angles equal; it makes the exterior angle equal to the interior and opposite angle on the same side, and the sum of the two interior angles on the same side equal to two right angles. Let the straight line...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...equal to two right angles, the two straight lines shall be parallel to one another. 29. Prove that if a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite angle upon the same side, and likewise the two interior angles upon the same side together equal to two right...
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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...interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right angles. 3. Triangles upon...
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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...interior and opposite angle on the same side ; and also the interior angles on the tame side toe/ether equal to two right angles. The axiom referred to...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...perpendiculars is the same whatever be the position of D. PROPOSITION XXIX. THEOREM. If a straight line fall on two parallel straight lines, it makes the alternate...interior and opposite angle on the same side; and also the two interior angles on the same side together equal to two right angles. Let the st. line...
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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...interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right angles. 3. Triangles upon...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 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...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...
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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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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...rhombus. 4. If a straight line fall on two parallel straight lines it makes the alternate angles equal, 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 to two right angles. What axiom did Playfair...
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