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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 ... - Side 104
av T S. Taylor - 1880
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...THEOREM. 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. Let the st....
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 442 sider
...cross two parallel straight lines, it makes — (a) either pair of alternate angles equal ; (/3) each exterior angle equal to the interior and opposite angle on the same side ; (y) either pair of interior angles on the same side together equal to two right angles. B Let the...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890 - 526 sider
...every triangle are together equal to two right angles, without producing a side of the triangle. 4. If a straight line falling on two other straight lines make the alternate angles equal to one another, the two straight lines shall be parallel to one another. 5....
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Circular of Information of the Bureau of Education, for ..., Utgaver 1-3

United States. Office of Education - 1890 - 958 sider
...whole theory of direction is ignored. II — NEW "AXIOM." Euclid proves in his Elements (I, 27) that " If a straight line falling on two other straight lines make the alternate angles equal to one another, the two straight lines shall be parallel to one another." Bat...
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The Teaching and History of Mathematics in the United States, Volumer 890-893

Florian Cajori - 1890 - 412 sider
...whole theory of direction is ignored. II. — NEW "AXIOM." Euclid proves in his Elements (I, 27) that " If a straight line falling on two other straight lines make the alternate angles eqnal to one another, the two straight lines shall be parallel to one another." Bat...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 sider
...a straight line fall on two parallel straight lines, it shall make 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. 30. Straight...
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Annual Report of the Chief Superintendent of Education

1891 - 718 sider
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 460 sider
...i. 20 : some remarks upon it will be found in a note on that Proposition. PROPOSITION 27. THEOREM. If a straight line, falling on two other straight lines, make the alternate angles equal to one aiiotlier, then the straight lines shall be parallel. CH the straight...
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Euclid's Elements of Geometry, Bøker 1-6

Henry Martyn Taylor - 1893 - 486 sider
...straight line intersect two parallel straight lines, it makes alternate angles equal, it makes each exterior angle equal to the interior and opposite angle on the same side of the line, and it also makes interior angles on the same side together equal to two right angles. Let the straight...
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Euclid's Elements of Geometry, Bøker 1-6;Bok 11

Henry Martyn Taylor - 1895 - 708 sider
...straight line intersect two parallel straight lines, it makes alternate angles equal, it makes each exterior angle equal to the interior and opposite angle on the same side of the line, and it also makes interior angles on the same side together equal to two right angles. Let the straight...
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