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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... "
The Elements of Geometry, Symbolically Arranged - Side 37
av Great Britain. Admiralty - 1846
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...BC intersect in 0: prove that the triangles OAB, OCD are each isosceles. 2. If a straight line falls 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...
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - 1889 - 272 sider
...D, make the alternate angles equal to one another, then the two straight lines must be parallel. 16. If a straight line fall upon two parallel straight lines, it makes the two interior angles upon the same side together equal to two right angles, and also the alternate angles...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890
...on opposite sides of the common base. 4. If a straight line fall upon two paraHel straight lines 18 it makes the alternate angles equal to one another,...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 Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...CD. [DEF. 35. PROPOSITION 28. THEOREM. If a straight line falling on two other straight lines makes the exterior angle 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...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 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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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 sider
...straight lines shall be parallel. 28. If a straight line falling on two other straight lines makes the exterior angle 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 518 sider
...PROPOSITION 2g. THEOREM. If a straight line fall on two parallel straight lines, then it shall make the alternate angles equal to one another , and the exterior angle equal to the interior opposite angle on the same side; and also the two interior angles on the same side equal to turn ril/ht...
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Euclid's Elements of Geometry, Bøker 1-6

Henry Martyn Taylor - 1893 - 504 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....
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Euclid's Elements of Geometry, Bøker 1-6;Bok 11

Henry Martyn Taylor - 1895 - 657 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....
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 340 sider
...therefore AB is parallel to CD (Proposition 27). AXIOM PROPOSITION 29. THEOREM If a 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...
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