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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. "
Euclid's Elements [book 1-6] with corrections, by J.R. Young - Page 105
by Euclides - 1838
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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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Calendar

University of Allahabad - 1912 - 918 pages
...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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The Calendar

University of South Africa - Universities and colleges - 1913 - 768 pages
...points subtends equal angles at two other points on the same side of it the four points lie on a circle. The angle in a segment greater than a semicircle is...less than a semicircle is greater than a right angle. The opposite angles of any convex quadrilateral inscribed in a circle are supplementary, and conversely....
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Regulations

University of Calcutta - 1914 - 430 pages
...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...than a semi-circle is greater than a right angle. The opposite angles of any quadrilateral inscribed in a circle ^ are supplementary ; and the converse....
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Calendar

University of Allahabad - 1914 - 752 pages
...the same side of it, the four pointa 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 angle, and the angle in я segment less than a semi-circle is greater than a right angle. The opposite angles of any quadrilateral...
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Bulletin, Issues 38-46

Education - 1915 - 906 pages
...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 is...less than a semicircle is greater than a right angle. The opposite angles of any quadrilateral inscribed in a circle are supplementary; and the converse....
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Statistics of Land-grant Colleges and Universities, Volume 3, Issues 31-44

United States. Office of Education - Agricultural colleges - 1915 - 1296 pages
...on the same aide 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 is...less than a semicircle is greater than a right angle. The opposite angles of any quadrilateral inscribed in a circle are supplementary; and the converse....
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Bulletin, Issues 33-43

Education - 1915 - 816 pages
...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 is...less than a semicircle is greater than a right angle. The opposite angles of any quadrilateral inscribed in a circle are supplementary; and the converse....
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Calendar

University of Allahabad - 1916 - 830 pages
...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...less than a right angle, and the angle in a segment loss than a semi-circle is greater than a right angle. The opposite angles of any quadrilateral inscribed...
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Calendar

University of Allahabad - 1920 - 970 pages
...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...and the angle in a segment less than a semi-circle ia greater than a right angle. The opposite angles of any quadrilateral inscribed in a circle are supplementary...
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