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" 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 the two interior angles on the same side together equal... "
A companion to Euclid: being a help to the understanding and remembering of ... - Side 27
av Euclides - 1837 - 88 sider
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The Calcutta University Calendar

University of Calcutta - 1864
...during the first rule of Lord Curnwallis. ARITHMETIC AND ALGEBRA. Examiner.—REV. KS MACDONALD, MA 1. If a straight line fall upon two parallel straight...it makes the alternate angles equal to one another. Trisect, (1) a right angle, (2) one-fourth of a right angle. 2. The angles in the same segment of a...
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An Introduction to Plane and Spherical Trigonometry

Alfred Challice Johnson - 1865 - 150 sider
...greater side of every triangle is opposite to the greater angle and vice versa. (Eue. I., 18, 19.) 5. If a straight line fall upon two parallel straight...it makes the alternate angles equal to one another. (Eue. I., 29.) 6. If a side of a triangle he produced, the exterior angle is equal to the two interior...
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The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...The interior angles upon the same side together equal to two right angles ...... 2. And conversely, if a straight line fall upon two parallel straight lines, it makes — a. The alternate angles equal to one another . . .* A. The exterior angle equal to the interior...
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Aristotle on fallacies, or the Sophistici elenchi

Aristotle - 1866 - 252 sider
...result from various theses : for instance, parallels may be proved to meet both from the thesis that if a straight line fall upon two parallel straight lines it makes the exterior angle greater than the interior and opposite angle upon the same side10, and from the thesis...
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Examination papers collected by A. Clark as a student and as an examiner

1867
...the line and of the square on the line between the points of section. 6. If a straight line fall on two parallel straight lines, it makes the alternate...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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...Wherefore, if a straight line &c. QED ' )i.! • PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight lines, it makes the alternate...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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...straight line &c. QED PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight Una, it makes the alternate angles equal to one another,...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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 sider
...BGH; therefore the remaining angle AGH is equal to the remaining angle GHD; (ax. 3.) PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel...equal to one another ; and the exterior angle equal to t/te interior and opposite upon the same side ; and likewise the two interior angles upon ihe same...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870
...same st. line are parallel to each other. DEM. — P. 29. If a st. line fall upon two parallel st. lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the int. and opp. angle upon the same side ; and likewise the two int. angles upon the same side together...
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The Elements of Plane and Spherical Trigonometry ...

Alfred Challice Johnson - 1871
...greater side of every triangle is opposite to the greater angle and vice versa. (Eue. I., 18, 19.) 5. If a straight line fall upon two parallel straight...it makes the alternate angles equal to one another. (Eue. I., 29.) 6. If a side of a triangle be produced, the exterior angle is equal to the two interior...
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