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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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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...CD. [I. 27. Wherefore, if a straight line &c. QED PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight lines, it makes the alternate...angle equal to the interior and opposite angle on the game side; and also the two interior angles on the same side together equal to two right angles. on...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 sider
...opposite sides parallel. 67. A rhombus and a rhomboid have their opposite sides parallel. PROP. 29. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal, the corresponding angles equal, and the two interior angles on the same side of it together equal to...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Volum 3

Moffatt and Paige - 1883
...straight line, falling upon two other, etc. QED Proposition XXIX. Theorem. If a straight line falls upon two parallel straight lines, it makes the alternate angles equal to one another, and thc exterior angle equal to the interior and opposite angle upon the same side, and also the two interior...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volum 1

Euclides - 1884
...quadrilateral be all right, show that it is a parallelogram. 71. PROPOSITION XXIX. — THEOREM,. • If a straight line fall upon two parallel straight...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...
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Yale Examination Papers

F. B. Stevens - 1884 - 175 sider
...is equivalent to the difference of the squares of those lines. 1880. 1. If a straight line fall on two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite (or remote) angle on the same side ; and also the two interior angles on the same side together equal...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...alternate angles ; therefore A"R is parallel to CD. XXIX. — If a straight line fall upon twoparallel straight lines, it makes the alternate angles equal...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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Annual Report of the Commissioners ..., Volum 50

1884
...side and perpendicular of an equilateral triangle ; construct the triangle. 10 marks. 3. Prove that if a straight line fall upon two parallel straight...it makes the alternate angles equal to one another. 10 marks. •I. The sides of a triangle are 15 feet, 37 feet, and 41 feet : find the length of the...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...<fcc. QED PROPOSITION XXVIII. THEOREM. If a straight line falling on two other straight lines, make the exterior angle equal to 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...
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Senate Documents, Otherwise Publ. as Public Documents and Executive ..., Volum 3

United States. Congress. Senate - 1880
...being entirely outside the quadrilateral ; prove lh»t the triangle ha« the greater perimeter. 3. If a straight line fall upon two parallel straight lines, it makes the alternate an|k* equal to each other. Prove this; and state clearly the axiom upon which your proof in based,...
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Transactions and Proceedings of the New Zealand Institute, Volum 19

New Zealand Institute - 1887
...part of Euclid I., 29 : — " If a straight line fall upon two parallel straight lines, it shall make the exterior angle equal to the interior and opposite angle on the same side." This is an immediate consequence, hardly more than a re-statement, of the concept of parallel straight...
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