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" ... upon the same side together equal to two right angles, the two straight lines shall be parallel to one another. "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 26
by Robert Potts - 1876 - 403 pages
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...straight lines, make the alternate angles equal to each other; these two straight lines shall be parallel. Let the straight line EF, "which falls upon the two straight lines AB, CD, make the alternate angles AEF, EFD, equal to one another. Then AB shall be parallel to CD. For, if AB be not...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...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 lines shall oe parallel to o><e another. Let the straight line EF, which falls upon the two straight lines AB,...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...interior and opposite angle 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 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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...lines, make the alternate angles equal to each other ; these two straight lines shall be parallel. Let the straight line EF, which falls upon the two straight lines AB, CD, make the alternate angles AEF, EFD equal to one another. Then.^B. shall be parallel to CD. AB/ B ~ For, if AB...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 pages
...to two right angles, the two straight lines are parallel. Let the straight line EF which intersects the two straight lines AB, CD make the exterior angle EGB equal to GHD, the interior opposite angle on the same side, or let it make the interior angles on the same side...
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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
...the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight...one another. Let the straight line EF, which falls on the two straight lines AB, CD, make the exterior angle EGB equal to the interior and opposite angle...
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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
...the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight...one another. Let the straight line EF, which falls on the two straight lines AB, CD, make the exterior angle EGB\ equal to the interior and opposite angle...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...lines, make the alternate angles equal to each other ; these two straight lines shall be parallel. Let the straight line EF, which falls upon the two straight lines AB, CD, make the alternate angles AEF, EFD, equal to one anothei Then AB shall be parallel to CD. For, if AB be not...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...straight lines makes the alternate angles equal to one another, these two straight lines shall beparallel. Let the straight line EF, which falls upon the two straight lines AB, CD, make the alternate angles AEF, EFD, equal to one another ; AB is parallel to CD. For, if it be not parallel,...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...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...exterior angle EGB equal to the interior and opposite E\ angle GHD, upon the same side ; \ c Or make the interior angles on the -B same side, the angles...
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