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" If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon the same side together equal to two right angles ; the two straight... "
First principles of Euclid: an introduction to the study of the first book ... - Seite 104
von T S. Taylor - 1880
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 Seiten
...side, namely, the sides opposite to equal angles, then shall the other sides be equal, each to each. 3. If a straight line falling on two other straight lines make the alternate angles equal to each other, these two straight lines shall be parallel. 4. If a straight...
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Elements of Plane Geometry, Teil 1

Thomas Hunter - 1878 - 142 Seiten
...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...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 Seiten
...straight line fall upon two parallel straight lines, 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 interior angles on the same side of it together equal to two right angles. 3. If a straight...
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Parliamentary Papers, Band 22

Great Britain. Parliament. House of Commons - 1879 - 632 Seiten
...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 to two right angles. 3. Triangles...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Band 23

1879 - 636 Seiten
...straight line fnll 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 to two right angles. 3. Triangles...
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Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879 - 378 Seiten
...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 interior angles on the tame side toe/ether equal to two right angles. The axiom referred...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 Seiten
...two ends of a given straight line simultaneously describe circles about two different centres? 2. " If a straight line falling on two other straight lines make the alternate angles equal to each other, these two straight lines shall be parallel." What supposition...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 44 Seiten
...XXVH.-XLI. (inclusive). 27. When are straight lines said to be parallel to one another? Prove that if a straight line falling on two other straight lines make the alternate angles equal to each other, these two straight lines must be parallel. Same proposition....
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 Seiten
...two equal lines to the given line, one on each side of the shortest line. PROPOSITION XXVII. THEOREM. If a straight line, falling on two other straight lines, make the alternate angles equal to one another, these two straight lines shall be parallel. Let the st. line...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - 1880 - 178 Seiten
...drawn to CD at right angles to it. AF = BG. PROP. XXVIII. THEOREM. If a straight line fatting upon two other straight lines make the exterior angle equal to the interior and opposite angle on the same su/e of the line ; or make the two interior angles on the same side together equal to two right angles,...
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