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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. "
Elements of geometry, containing books i. to vi.and portions of books xi ... - Pagina 178
door Euclides, James Hamblin Smith - 1879
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Atti Del ... Congresso Internazionale Dei Matematici ...

1909 - 605 pagina’s
...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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The Melbourne University Calendar

University of Melbourne - 1909 - 984 pagina’s
...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...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 of the Association of Ontario Land Surveyors, Volume 17

Association of Ontario Land Surveyors - 1909 - 254 pagina’s
...equal straight lines to the circumference, that point is the centre of the /circle. (b) In a circle the angle in a segment greater than a semi-circle is less than a right angle. 6. Draw a chord in a circle so that it may be double of its perpendicular distance from the centre....
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Annual Report, Volumes 2-3

Civil Service Commission of Canada - 1910 - 240 pagina’s
...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 pagina’s
...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 is...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 pagina’s
...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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Calendar of the University of Sydney

University of Sydney - 1912 - 1050 pagina’s
...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 is...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 - 1912 - 1044 pagina’s
...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 is...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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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - 632 pagina’s
...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 is...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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Practical Geometry & Graphics: A Text-book for Students in Technical and ...

Edward L. Bates, Frederick Charlesworth - 1912 - 648 pagina’s
...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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