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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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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...the alternate angles equal; also any exterior angle equal to the interior and opposite angle ; and the two interior angles upon the same side together equal to two right angles. Let the straight line EF inter- j; sect the parallel lines AB, CD ; \ the alternate angles...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...straight line, &c. QED PROPOSITION XXIX. THEOREM. // 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 lihewise the two interior angles upon the same side together equal to two...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...straight line, &c. QHD PROPOSITION XXIX. THEOREM. 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 anil opposite upon the same side ; and likewise the two interior angles upon Vie same side together...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...lines shall be parallel to one another. P Prop. 29. If a straight line fall npon two parallel straight lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite angle npon the same side; and likewise the two interior angles upon the same side together equal to two right...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...straight line, &c. QED 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 unifies upon the same side together equal to two...
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First Practical Lines of Geometrical Drawing ...

J. F. H. de Rheims - Geometrical drawing - 1865 - 336 pages
...opposite angles shall be equal. Prop. 29. — 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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...straight line &c. QED ' )i.! • PROPOSITION 29. 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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Examination papers collected by A. Clark as a student and as an examiner

1867 - 224 pages
...square on the line between the points of section. 6. 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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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...straight line &c. QED PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight Una, it makes the alternate angles equal to one another,...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...remaining angle GHD; (ax. 3.) PROPOSITION XXIX. THEOREM. 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 t/te interior and opposite upon the same side ; and likewise the two interior angles upon ihe same...
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