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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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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863
...the 27th, and the 2Sth.) If a line fall upon two parallel st. lines, it mahes the alternate angle* equal to one another ; and the exterior angle equal to the interior and opposite angle upon the same side ; and lihewise the two interior angles upon the same •tide together equal to two...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...AB is parallel to CD. (i. 27.) Wherefore, if a straight line, &c. QED PROPOSITION XXIX. THEOREM. // a straight line fall upon two parallel straight lines,...exterior angle equal to the interior and opposite upon the same side ; and lihewise the two interior angles upon the same side together equal to two...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...therefore AB is parallel to CD. (i. 27.) Wherefore, if a straight line, &c. QHD PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight...another ; and the exterior angle equal to the interior anil opposite upon the same side ; and likewise the two interior angles upon Vie same side together...
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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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First Practical Lines of Geometrical Drawing ...

J. F. H. de Rheims - 1865 - 169 sider
...straight lines cut one another, the vortical or opposite angles shall be equal. Prop. 29. — 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...
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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...interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right angles. 7. In any right-angled...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...line &c. QED PROPOSITION 28. 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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