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" The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. "
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 94
by Euclides - 1841 - 351 pages
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Annual Report of the Association of Ontario Land Surveyors, Volume 17

Association of Ontario Land Surveyors - Surveying - 1909 - 254 pages
...the square on the aforesaid part. 6. In a circle the ano.le in a semi-circle is a right ano.le ; but the angle in a segment greater than a semi-circle...than a semi-circle is greater than a right angle. 7. The straight line drawn at right angles to the diameter of a circle from the extremity of it, falls...
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The Melbourne University Calendar

University of Melbourne - 1909 - 984 pages
...points on the same side of it, the four points lie on a circle. The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle...and the angle in a segment less than a semicircle is gi-eater than a right angle. The opposite angles of any quadrilateral inscribed in a circle are supplementary;...
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Annual Report, Volumes 2-3

Civil Service Commission of Canada - Civil service - 1910 - 240 pages
...square on a side of the triangle by the rectangle contained by the segments of the base. 5. In a circle the angle in a segment greater than a semicircle is less than a right angle. 6. To describe an isosceles triangle having each of the angles at the base double of the third angle....
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Annual Calendar of McGill College and University

McGill University - 1883 - 404 pages
...part, together with the square on the other part. 9. In a circle, the angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle...angle in a segment less than a semicircle is greater thnn a right angle. 10. Describe a rectilineal figure which shall be similar to one, and equal to another...
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Calendar

University of Allahabad - 1911 - 726 pages
...points ou the same side of it, the four points lie on a circle. The angle in a semi-circle is a right angle, the angle in a segment greater than a semi-circle is less than a right Jingle, and the angle in a segment less than a semi-circle is greater than a right angle. The opposite...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...points on the same side of it, the four points lie on a circle. 32. The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle...less than a semicircle is greater than a right angle. 33. The opposite angles of any quadrilateral inscribed in a circle are supplementary ; and the converse....
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Calendar of the University of Sydney

University of Sydney - 1912 - 1050 pages
...Show that the angles BCE, BCD, DCA are all equal. 7. Prove that the angle in a semicircle is a right angle, the angle in a segment greater than a semicircle...less than a semicircle is greater than a right angle. 8. Find the loeus of the middle points of chords of a circle, which pass through a given point. 9....
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Special Reports on Educational Subjects, Volumes 26-27

Great Britain. Board of Education - Education - 1912 - 1044 pages
...points on the same side of it, the four points lie on a circle. 32. The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle...less than a semicircle is greater than a right angle. 33. The opposite angles of any quadrilateral inscribed in a circle are supplementary ; and the converse....
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Calendar

University of Allahabad - 1912 - 918 pages
...points on the same side of it, the four points lio on a circle. The angle in a semi-circle is a right angle, the angle in a segment greater than a semi-circle is less than a ri^ht nngie, and the angle in a segment less than a semi circle is greater than a right angle. The...
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Practical Geometry & Graphics: A Text-book for Students in Technical and ...

Edward L. Bates, Frederick Charlesworth - Geometry - 1912 - 648 pages
...Theorem 5. The angle in a segment less than a semicircle is greater than a right-angle. Theorem 4. The angle in a segment greater than a semicircle is less than a right-angle. 143. When the tracing in Fig. 142 occupies its initial position with the point B over...
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