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" If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 22
by Euclides - 1834
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - Surveying - 1889 - 306 pages
...side together equal to two right angles, and also the alternate angles equal to one another, and also the exterior angle equal to the interior and opposite upon the same side. 17. Straight lines which are parallel to the same straight line are parallel to one another. 18. If...
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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - Education - 1889 - 1004 pages
...side together equal to two right angles, and also the alternate angles equal to one another, and also the exterior angle equal to the interior and opposite upon the same side. A. Prove that if one diagonal of a quadrilateral bisect the other, it divides the quadrilateral into...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...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 equal to two right angles. No straight...
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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

John Fry Heather - Geometry, Modern - 1890 - 252 pages
...the exterior angle equal to the interior and opposite angle upon the same side of the line ; or makes the interior angles upon the same side together equal...two straight lines shall be parallel to one another (Euc. I. 28). 66*. THEOE. 10. Straight lines which join the extremities of equal and parallel straight...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...equal to the interior and opposite angle on the same side of the line, or makes the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel. Let the st. line EF falling on the two st. lines AB, CD make ext. L EGB equal to int. and opp. L GHD...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...line fall upon two paraHel straight lines 18 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 equal to two right angles. 5. To...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...equal to the interior and opposite angle on the same side of the line, or makes the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel. 29. If a straight line fall on two parallel straight lines, it shall make the alternate angles equal,...
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Annual Report of the Chief Superintendent of Education

1891 - 718 pages
...exterior angle is greater than either of the interior opposite angles. 2. If a straight line, falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon tho same side of the line, or make the interior angles upon the same side together equal to two right...
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A Text-book of Geometrical Deductions

James Andrew Blaikie, William Thomson - Geometry - 1891 - 160 pages
...same side of the cutting line, or make the two interior angles on the same side of the cutting line together equal to two right angles, the two straight lines shall be parallel. 29. If a straight line cut two parallel straight lines, it shall make the alternate angles equal, and...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...the interior and opposite angle on the same side of the line ; or if it make two interior angles on the same side together equal to two right angles, the two straight lines are parallel. Let the straight line EF, intersecting the two straight lines AB, CD, (1) make the exterior...
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